1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
|
Internet Engineering Task Force (IETF) E. Rescorla
Request for Comments: 8446 Mozilla
Obsoletes: 5077, 5246, 6961 August 2018
Updates: 5705, 6066
Category: Standards Track
ISSN: 2070-1721
The Transport Layer Security (TLS) Protocol Version 1.3
Abstract
This document specifies version 1.3 of the Transport Layer Security
(TLS) protocol. TLS allows client/server applications to communicate
over the Internet in a way that is designed to prevent eavesdropping,
tampering, and message forgery.
This document updates RFCs 5705 and 6066, and obsoletes RFCs 5077,
5246, and 6961. This document also specifies new requirements for
TLS 1.2 implementations.
Status of This Memo
This is an Internet Standards Track document.
This document is a product of the Internet Engineering Task Force
(IETF). It represents the consensus of the IETF community. It has
received public review and has been approved for publication by the
Internet Engineering Steering Group (IESG). Further information on
Internet Standards is available in Section 2 of RFC 7841.
Information about the current status of this document, any errata,
and how to provide feedback on it may be obtained at
https://www.rfc-editor.org/info/rfc8446.
Rescorla Standards Track [Page 1]
^L
RFC 8446 TLS August 2018
Copyright Notice
Copyright (c) 2018 IETF Trust and the persons identified as the
document authors. All rights reserved.
This document is subject to BCP 78 and the IETF Trust's Legal
Provisions Relating to IETF Documents
(https://trustee.ietf.org/license-info) in effect on the date of
publication of this document. Please review these documents
carefully, as they describe your rights and restrictions with respect
to this document. Code Components extracted from this document must
include Simplified BSD License text as described in Section 4.e of
the Trust Legal Provisions and are provided without warranty as
described in the Simplified BSD License.
This document may contain material from IETF Documents or IETF
Contributions published or made publicly available before November
10, 2008. The person(s) controlling the copyright in some of this
material may not have granted the IETF Trust the right to allow
modifications of such material outside the IETF Standards Process.
Without obtaining an adequate license from the person(s) controlling
the copyright in such materials, this document may not be modified
outside the IETF Standards Process, and derivative works of it may
not be created outside the IETF Standards Process, except to format
it for publication as an RFC or to translate it into languages other
than English.
Rescorla Standards Track [Page 2]
^L
RFC 8446 TLS August 2018
Table of Contents
1. Introduction ....................................................6
1.1. Conventions and Terminology ................................7
1.2. Major Differences from TLS 1.2 .............................8
1.3. Updates Affecting TLS 1.2 ..................................9
2. Protocol Overview ..............................................10
2.1. Incorrect DHE Share .......................................14
2.2. Resumption and Pre-Shared Key (PSK) .......................15
2.3. 0-RTT Data ................................................17
3. Presentation Language ..........................................19
3.1. Basic Block Size ..........................................19
3.2. Miscellaneous .............................................20
3.3. Numbers ...................................................20
3.4. Vectors ...................................................20
3.5. Enumerateds ...............................................21
3.6. Constructed Types .........................................22
3.7. Constants .................................................23
3.8. Variants ..................................................23
4. Handshake Protocol .............................................24
4.1. Key Exchange Messages .....................................25
4.1.1. Cryptographic Negotiation ..........................26
4.1.2. Client Hello .......................................27
4.1.3. Server Hello .......................................31
4.1.4. Hello Retry Request ................................33
4.2. Extensions ................................................35
4.2.1. Supported Versions .................................39
4.2.2. Cookie .............................................40
4.2.3. Signature Algorithms ...............................41
4.2.4. Certificate Authorities ............................45
4.2.5. OID Filters ........................................45
4.2.6. Post-Handshake Client Authentication ...............47
4.2.7. Supported Groups ...................................47
4.2.8. Key Share ..........................................48
4.2.9. Pre-Shared Key Exchange Modes ......................51
4.2.10. Early Data Indication .............................52
4.2.11. Pre-Shared Key Extension ..........................55
4.3. Server Parameters .........................................59
4.3.1. Encrypted Extensions ...............................60
4.3.2. Certificate Request ................................60
4.4. Authentication Messages ...................................61
4.4.1. The Transcript Hash ................................63
4.4.2. Certificate ........................................64
4.4.3. Certificate Verify .................................69
4.4.4. Finished ...........................................71
4.5. End of Early Data .........................................72
Rescorla Standards Track [Page 3]
^L
RFC 8446 TLS August 2018
4.6. Post-Handshake Messages ...................................73
4.6.1. New Session Ticket Message .........................73
4.6.2. Post-Handshake Authentication ......................75
4.6.3. Key and Initialization Vector Update ...............76
5. Record Protocol ................................................77
5.1. Record Layer ..............................................78
5.2. Record Payload Protection .................................80
5.3. Per-Record Nonce ..........................................82
5.4. Record Padding ............................................83
5.5. Limits on Key Usage .......................................84
6. Alert Protocol .................................................85
6.1. Closure Alerts ............................................87
6.2. Error Alerts ..............................................88
7. Cryptographic Computations .....................................90
7.1. Key Schedule ..............................................91
7.2. Updating Traffic Secrets ..................................94
7.3. Traffic Key Calculation ...................................95
7.4. (EC)DHE Shared Secret Calculation .........................95
7.4.1. Finite Field Diffie-Hellman ........................95
7.4.2. Elliptic Curve Diffie-Hellman ......................96
7.5. Exporters .................................................97
8. 0-RTT and Anti-Replay ..........................................98
8.1. Single-Use Tickets ........................................99
8.2. Client Hello Recording ....................................99
8.3. Freshness Checks .........................................101
9. Compliance Requirements .......................................102
9.1. Mandatory-to-Implement Cipher Suites .....................102
9.2. Mandatory-to-Implement Extensions ........................103
9.3. Protocol Invariants ......................................104
10. Security Considerations ......................................106
11. IANA Considerations ..........................................106
12. References ...................................................109
12.1. Normative References ....................................109
12.2. Informative References ..................................112
Appendix A. State Machine ........................................120
A.1. Client ....................................................120
A.2. Server ....................................................121
Appendix B. Protocol Data Structures and Constant Values .........122
B.1. Record Layer ..............................................122
B.2. Alert Messages ............................................123
B.3. Handshake Protocol ........................................124
B.3.1. Key Exchange Messages .................................125
B.3.2. Server Parameters Messages ............................131
B.3.3. Authentication Messages ...............................132
B.3.4. Ticket Establishment ..................................132
B.3.5. Updating Keys .........................................133
B.4. Cipher Suites .............................................133
Rescorla Standards Track [Page 4]
^L
RFC 8446 TLS August 2018
Appendix C. Implementation Notes .................................134
C.1. Random Number Generation and Seeding ......................134
C.2. Certificates and Authentication ...........................135
C.3. Implementation Pitfalls ...................................135
C.4. Client Tracking Prevention ................................137
C.5. Unauthenticated Operation .................................137
Appendix D. Backward Compatibility ...............................138
D.1. Negotiating with an Older Server ..........................139
D.2. Negotiating with an Older Client ..........................139
D.3. 0-RTT Backward Compatibility ..............................140
D.4. Middlebox Compatibility Mode ..............................140
D.5. Security Restrictions Related to Backward Compatibility ...141
Appendix E. Overview of Security Properties ......................142
E.1. Handshake .................................................142
E.1.1. Key Derivation and HKDF ...............................145
E.1.2. Client Authentication .................................146
E.1.3. 0-RTT .................................................146
E.1.4. Exporter Independence .................................146
E.1.5. Post-Compromise Security ..............................146
E.1.6. External References ...................................147
E.2. Record Layer ..............................................147
E.2.1. External References ...................................148
E.3. Traffic Analysis ..........................................148
E.4. Side-Channel Attacks ......................................149
E.5. Replay Attacks on 0-RTT ...................................150
E.5.1. Replay and Exporters ..................................151
E.6. PSK Identity Exposure .....................................152
E.7. Sharing PSKs ..............................................152
E.8. Attacks on Static RSA .....................................152
Contributors .....................................................153
Author's Address .................................................160
Rescorla Standards Track [Page 5]
^L
RFC 8446 TLS August 2018
1. Introduction
The primary goal of TLS is to provide a secure channel between two
communicating peers; the only requirement from the underlying
transport is a reliable, in-order data stream. Specifically, the
secure channel should provide the following properties:
- Authentication: The server side of the channel is always
authenticated; the client side is optionally authenticated.
Authentication can happen via asymmetric cryptography (e.g., RSA
[RSA], the Elliptic Curve Digital Signature Algorithm (ECDSA)
[ECDSA], or the Edwards-Curve Digital Signature Algorithm (EdDSA)
[RFC8032]) or a symmetric pre-shared key (PSK).
- Confidentiality: Data sent over the channel after establishment is
only visible to the endpoints. TLS does not hide the length of
the data it transmits, though endpoints are able to pad TLS
records in order to obscure lengths and improve protection against
traffic analysis techniques.
- Integrity: Data sent over the channel after establishment cannot
be modified by attackers without detection.
These properties should be true even in the face of an attacker who
has complete control of the network, as described in [RFC3552]. See
Appendix E for a more complete statement of the relevant security
properties.
TLS consists of two primary components:
- A handshake protocol (Section 4) that authenticates the
communicating parties, negotiates cryptographic modes and
parameters, and establishes shared keying material. The handshake
protocol is designed to resist tampering; an active attacker
should not be able to force the peers to negotiate different
parameters than they would if the connection were not under
attack.
- A record protocol (Section 5) that uses the parameters established
by the handshake protocol to protect traffic between the
communicating peers. The record protocol divides traffic up into
a series of records, each of which is independently protected
using the traffic keys.
Rescorla Standards Track [Page 6]
^L
RFC 8446 TLS August 2018
TLS is application protocol independent; higher-level protocols can
layer on top of TLS transparently. The TLS standard, however, does
not specify how protocols add security with TLS; how to initiate TLS
handshaking and how to interpret the authentication certificates
exchanged are left to the judgment of the designers and implementors
of protocols that run on top of TLS.
This document defines TLS version 1.3. While TLS 1.3 is not directly
compatible with previous versions, all versions of TLS incorporate a
versioning mechanism which allows clients and servers to
interoperably negotiate a common version if one is supported by both
peers.
This document supersedes and obsoletes previous versions of TLS,
including version 1.2 [RFC5246]. It also obsoletes the TLS ticket
mechanism defined in [RFC5077] and replaces it with the mechanism
defined in Section 2.2. Because TLS 1.3 changes the way keys are
derived, it updates [RFC5705] as described in Section 7.5. It also
changes how Online Certificate Status Protocol (OCSP) messages are
carried and therefore updates [RFC6066] and obsoletes [RFC6961] as
described in Section 4.4.2.1.
1.1. Conventions and Terminology
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
"SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
"OPTIONAL" in this document are to be interpreted as described in
BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all
capitals, as shown here.
The following terms are used:
client: The endpoint initiating the TLS connection.
connection: A transport-layer connection between two endpoints.
endpoint: Either the client or server of the connection.
handshake: An initial negotiation between client and server that
establishes the parameters of their subsequent interactions
within TLS.
peer: An endpoint. When discussing a particular endpoint, "peer"
refers to the endpoint that is not the primary subject of
discussion.
Rescorla Standards Track [Page 7]
^L
RFC 8446 TLS August 2018
receiver: An endpoint that is receiving records.
sender: An endpoint that is transmitting records.
server: The endpoint that did not initiate the TLS connection.
1.2. Major Differences from TLS 1.2
The following is a list of the major functional differences between
TLS 1.2 and TLS 1.3. It is not intended to be exhaustive, and there
are many minor differences.
- The list of supported symmetric encryption algorithms has been
pruned of all algorithms that are considered legacy. Those that
remain are all Authenticated Encryption with Associated Data
(AEAD) algorithms. The cipher suite concept has been changed to
separate the authentication and key exchange mechanisms from the
record protection algorithm (including secret key length) and a
hash to be used with both the key derivation function and
handshake message authentication code (MAC).
- A zero round-trip time (0-RTT) mode was added, saving a round trip
at connection setup for some application data, at the cost of
certain security properties.
- Static RSA and Diffie-Hellman cipher suites have been removed; all
public-key based key exchange mechanisms now provide forward
secrecy.
- All handshake messages after the ServerHello are now encrypted.
The newly introduced EncryptedExtensions message allows various
extensions previously sent in the clear in the ServerHello to also
enjoy confidentiality protection.
- The key derivation functions have been redesigned. The new design
allows easier analysis by cryptographers due to their improved key
separation properties. The HMAC-based Extract-and-Expand Key
Derivation Function (HKDF) is used as an underlying primitive.
- The handshake state machine has been significantly restructured to
be more consistent and to remove superfluous messages such as
ChangeCipherSpec (except when needed for middlebox compatibility).
- Elliptic curve algorithms are now in the base spec, and new
signature algorithms, such as EdDSA, are included. TLS 1.3
removed point format negotiation in favor of a single point format
for each curve.
Rescorla Standards Track [Page 8]
^L
RFC 8446 TLS August 2018
- Other cryptographic improvements were made, including changing the
RSA padding to use the RSA Probabilistic Signature Scheme
(RSASSA-PSS), and the removal of compression, the Digital
Signature Algorithm (DSA), and custom Ephemeral Diffie-Hellman
(DHE) groups.
- The TLS 1.2 version negotiation mechanism has been deprecated in
favor of a version list in an extension. This increases
compatibility with existing servers that incorrectly implemented
version negotiation.
- Session resumption with and without server-side state as well as
the PSK-based cipher suites of earlier TLS versions have been
replaced by a single new PSK exchange.
- References have been updated to point to the updated versions of
RFCs, as appropriate (e.g., RFC 5280 rather than RFC 3280).
1.3. Updates Affecting TLS 1.2
This document defines several changes that optionally affect
implementations of TLS 1.2, including those which do not also support
TLS 1.3:
- A version downgrade protection mechanism is described in
Section 4.1.3.
- RSASSA-PSS signature schemes are defined in Section 4.2.3.
- The "supported_versions" ClientHello extension can be used to
negotiate the version of TLS to use, in preference to the
legacy_version field of the ClientHello.
- The "signature_algorithms_cert" extension allows a client to
indicate which signature algorithms it can validate in X.509
certificates.
Additionally, this document clarifies some compliance requirements
for earlier versions of TLS; see Section 9.3.
Rescorla Standards Track [Page 9]
^L
RFC 8446 TLS August 2018
2. Protocol Overview
The cryptographic parameters used by the secure channel are produced
by the TLS handshake protocol. This sub-protocol of TLS is used by
the client and server when first communicating with each other. The
handshake protocol allows peers to negotiate a protocol version,
select cryptographic algorithms, optionally authenticate each other,
and establish shared secret keying material. Once the handshake is
complete, the peers use the established keys to protect the
application-layer traffic.
A failure of the handshake or other protocol error triggers the
termination of the connection, optionally preceded by an alert
message (Section 6).
TLS supports three basic key exchange modes:
- (EC)DHE (Diffie-Hellman over either finite fields or elliptic
curves)
- PSK-only
- PSK with (EC)DHE
Rescorla Standards Track [Page 10]
^L
RFC 8446 TLS August 2018
Figure 1 below shows the basic full TLS handshake:
Client Server
Key ^ ClientHello
Exch | + key_share*
| + signature_algorithms*
| + psk_key_exchange_modes*
v + pre_shared_key* -------->
ServerHello ^ Key
+ key_share* | Exch
+ pre_shared_key* v
{EncryptedExtensions} ^ Server
{CertificateRequest*} v Params
{Certificate*} ^
{CertificateVerify*} | Auth
{Finished} v
<-------- [Application Data*]
^ {Certificate*}
Auth | {CertificateVerify*}
v {Finished} -------->
[Application Data] <-------> [Application Data]
+ Indicates noteworthy extensions sent in the
previously noted message.
* Indicates optional or situation-dependent
messages/extensions that are not always sent.
{} Indicates messages protected using keys
derived from a [sender]_handshake_traffic_secret.
[] Indicates messages protected using keys
derived from [sender]_application_traffic_secret_N.
Figure 1: Message Flow for Full TLS Handshake
The handshake can be thought of as having three phases (indicated in
the diagram above):
- Key Exchange: Establish shared keying material and select the
cryptographic parameters. Everything after this phase is
encrypted.
- Server Parameters: Establish other handshake parameters
(whether the client is authenticated, application-layer protocol
support, etc.).
Rescorla Standards Track [Page 11]
^L
RFC 8446 TLS August 2018
- Authentication: Authenticate the server (and, optionally, the
client) and provide key confirmation and handshake integrity.
In the Key Exchange phase, the client sends the ClientHello
(Section 4.1.2) message, which contains a random nonce
(ClientHello.random); its offered protocol versions; a list of
symmetric cipher/HKDF hash pairs; either a set of Diffie-Hellman key
shares (in the "key_share" (Section 4.2.8) extension), a set of
pre-shared key labels (in the "pre_shared_key" (Section 4.2.11)
extension), or both; and potentially additional extensions.
Additional fields and/or messages may also be present for middlebox
compatibility.
The server processes the ClientHello and determines the appropriate
cryptographic parameters for the connection. It then responds with
its own ServerHello (Section 4.1.3), which indicates the negotiated
connection parameters. The combination of the ClientHello and the
ServerHello determines the shared keys. If (EC)DHE key establishment
is in use, then the ServerHello contains a "key_share" extension with
the server's ephemeral Diffie-Hellman share; the server's share MUST
be in the same group as one of the client's shares. If PSK key
establishment is in use, then the ServerHello contains a
"pre_shared_key" extension indicating which of the client's offered
PSKs was selected. Note that implementations can use (EC)DHE and PSK
together, in which case both extensions will be supplied.
The server then sends two messages to establish the Server
Parameters:
EncryptedExtensions: responses to ClientHello extensions that are
not required to determine the cryptographic parameters, other than
those that are specific to individual certificates.
[Section 4.3.1]
CertificateRequest: if certificate-based client authentication is
desired, the desired parameters for that certificate. This
message is omitted if client authentication is not desired.
[Section 4.3.2]
Rescorla Standards Track [Page 12]
^L
RFC 8446 TLS August 2018
Finally, the client and server exchange Authentication messages. TLS
uses the same set of messages every time that certificate-based
authentication is needed. (PSK-based authentication happens as a
side effect of key exchange.) Specifically:
Certificate: The certificate of the endpoint and any per-certificate
extensions. This message is omitted by the server if not
authenticating with a certificate and by the client if the server
did not send CertificateRequest (thus indicating that the client
should not authenticate with a certificate). Note that if raw
public keys [RFC7250] or the cached information extension
[RFC7924] are in use, then this message will not contain a
certificate but rather some other value corresponding to the
server's long-term key. [Section 4.4.2]
CertificateVerify: A signature over the entire handshake using the
private key corresponding to the public key in the Certificate
message. This message is omitted if the endpoint is not
authenticating via a certificate. [Section 4.4.3]
Finished: A MAC (Message Authentication Code) over the entire
handshake. This message provides key confirmation, binds the
endpoint's identity to the exchanged keys, and in PSK mode also
authenticates the handshake. [Section 4.4.4]
Upon receiving the server's messages, the client responds with its
Authentication messages, namely Certificate and CertificateVerify (if
requested), and Finished.
At this point, the handshake is complete, and the client and server
derive the keying material required by the record layer to exchange
application-layer data protected through authenticated encryption.
Application Data MUST NOT be sent prior to sending the Finished
message, except as specified in Section 2.3. Note that while the
server may send Application Data prior to receiving the client's
Authentication messages, any data sent at that point is, of course,
being sent to an unauthenticated peer.
Rescorla Standards Track [Page 13]
^L
RFC 8446 TLS August 2018
2.1. Incorrect DHE Share
If the client has not provided a sufficient "key_share" extension
(e.g., it includes only DHE or ECDHE groups unacceptable to or
unsupported by the server), the server corrects the mismatch with a
HelloRetryRequest and the client needs to restart the handshake with
an appropriate "key_share" extension, as shown in Figure 2. If no
common cryptographic parameters can be negotiated, the server MUST
abort the handshake with an appropriate alert.
Client Server
ClientHello
+ key_share -------->
HelloRetryRequest
<-------- + key_share
ClientHello
+ key_share -------->
ServerHello
+ key_share
{EncryptedExtensions}
{CertificateRequest*}
{Certificate*}
{CertificateVerify*}
{Finished}
<-------- [Application Data*]
{Certificate*}
{CertificateVerify*}
{Finished} -------->
[Application Data] <-------> [Application Data]
Figure 2: Message Flow for a Full Handshake with
Mismatched Parameters
Note: The handshake transcript incorporates the initial
ClientHello/HelloRetryRequest exchange; it is not reset with the
new ClientHello.
TLS also allows several optimized variants of the basic handshake, as
described in the following sections.
Rescorla Standards Track [Page 14]
^L
RFC 8446 TLS August 2018
2.2. Resumption and Pre-Shared Key (PSK)
Although TLS PSKs can be established out of band, PSKs can also be
established in a previous connection and then used to establish a new
connection ("session resumption" or "resuming" with a PSK). Once a
handshake has completed, the server can send the client a PSK
identity that corresponds to a unique key derived from the initial
handshake (see Section 4.6.1). The client can then use that PSK
identity in future handshakes to negotiate the use of the associated
PSK. If the server accepts the PSK, then the security context of the
new connection is cryptographically tied to the original connection
and the key derived from the initial handshake is used to bootstrap
the cryptographic state instead of a full handshake. In TLS 1.2 and
below, this functionality was provided by "session IDs" and "session
tickets" [RFC5077]. Both mechanisms are obsoleted in TLS 1.3.
PSKs can be used with (EC)DHE key exchange in order to provide
forward secrecy in combination with shared keys, or can be used
alone, at the cost of losing forward secrecy for the application
data.
Rescorla Standards Track [Page 15]
^L
RFC 8446 TLS August 2018
Figure 3 shows a pair of handshakes in which the first handshake
establishes a PSK and the second handshake uses it:
Client Server
Initial Handshake:
ClientHello
+ key_share -------->
ServerHello
+ key_share
{EncryptedExtensions}
{CertificateRequest*}
{Certificate*}
{CertificateVerify*}
{Finished}
<-------- [Application Data*]
{Certificate*}
{CertificateVerify*}
{Finished} -------->
<-------- [NewSessionTicket]
[Application Data] <-------> [Application Data]
Subsequent Handshake:
ClientHello
+ key_share*
+ pre_shared_key -------->
ServerHello
+ pre_shared_key
+ key_share*
{EncryptedExtensions}
{Finished}
<-------- [Application Data*]
{Finished} -------->
[Application Data] <-------> [Application Data]
Figure 3: Message Flow for Resumption and PSK
As the server is authenticating via a PSK, it does not send a
Certificate or a CertificateVerify message. When a client offers
resumption via a PSK, it SHOULD also supply a "key_share" extension
to the server to allow the server to decline resumption and fall back
to a full handshake, if needed. The server responds with a
"pre_shared_key" extension to negotiate the use of PSK key
establishment and can (as shown here) respond with a "key_share"
extension to do (EC)DHE key establishment, thus providing forward
secrecy.
Rescorla Standards Track [Page 16]
^L
RFC 8446 TLS August 2018
When PSKs are provisioned out of band, the PSK identity and the KDF
hash algorithm to be used with the PSK MUST also be provisioned.
Note: When using an out-of-band provisioned pre-shared secret, a
critical consideration is using sufficient entropy during the key
generation, as discussed in [RFC4086]. Deriving a shared secret
from a password or other low-entropy sources is not secure. A
low-entropy secret, or password, is subject to dictionary attacks
based on the PSK binder. The specified PSK authentication is not
a strong password-based authenticated key exchange even when used
with Diffie-Hellman key establishment. Specifically, it does not
prevent an attacker that can observe the handshake from performing
a brute-force attack on the password/pre-shared key.
2.3. 0-RTT Data
When clients and servers share a PSK (either obtained externally or
via a previous handshake), TLS 1.3 allows clients to send data on the
first flight ("early data"). The client uses the PSK to authenticate
the server and to encrypt the early data.
As shown in Figure 4, the 0-RTT data is just added to the 1-RTT
handshake in the first flight. The rest of the handshake uses the
same messages as for a 1-RTT handshake with PSK resumption.
Rescorla Standards Track [Page 17]
^L
RFC 8446 TLS August 2018
Client Server
ClientHello
+ early_data
+ key_share*
+ psk_key_exchange_modes
+ pre_shared_key
(Application Data*) -------->
ServerHello
+ pre_shared_key
+ key_share*
{EncryptedExtensions}
+ early_data*
{Finished}
<-------- [Application Data*]
(EndOfEarlyData)
{Finished} -------->
[Application Data] <-------> [Application Data]
+ Indicates noteworthy extensions sent in the
previously noted message.
* Indicates optional or situation-dependent
messages/extensions that are not always sent.
() Indicates messages protected using keys
derived from a client_early_traffic_secret.
{} Indicates messages protected using keys
derived from a [sender]_handshake_traffic_secret.
[] Indicates messages protected using keys
derived from [sender]_application_traffic_secret_N.
Figure 4: Message Flow for a 0-RTT Handshake
Rescorla Standards Track [Page 18]
^L
RFC 8446 TLS August 2018
IMPORTANT NOTE: The security properties for 0-RTT data are weaker
than those for other kinds of TLS data. Specifically:
1. This data is not forward secret, as it is encrypted solely under
keys derived using the offered PSK.
2. There are no guarantees of non-replay between connections.
Protection against replay for ordinary TLS 1.3 1-RTT data is
provided via the server's Random value, but 0-RTT data does not
depend on the ServerHello and therefore has weaker guarantees.
This is especially relevant if the data is authenticated either
with TLS client authentication or inside the application
protocol. The same warnings apply to any use of the
early_exporter_master_secret.
0-RTT data cannot be duplicated within a connection (i.e., the server
will not process the same data twice for the same connection), and an
attacker will not be able to make 0-RTT data appear to be 1-RTT data
(because it is protected with different keys). Appendix E.5 contains
a description of potential attacks, and Section 8 describes
mechanisms which the server can use to limit the impact of replay.
3. Presentation Language
This document deals with the formatting of data in an external
representation. The following very basic and somewhat casually
defined presentation syntax will be used.
3.1. Basic Block Size
The representation of all data items is explicitly specified. The
basic data block size is one byte (i.e., 8 bits). Multiple-byte data
items are concatenations of bytes, from left to right, from top to
bottom. From the byte stream, a multi-byte item (a numeric in the
following example) is formed (using C notation) by:
value = (byte[0] << 8*(n-1)) | (byte[1] << 8*(n-2)) |
... | byte[n-1];
This byte ordering for multi-byte values is the commonplace network
byte order or big-endian format.
Rescorla Standards Track [Page 19]
^L
RFC 8446 TLS August 2018
3.2. Miscellaneous
Comments begin with "/*" and end with "*/".
Optional components are denoted by enclosing them in "[[ ]]" (double
brackets).
Single-byte entities containing uninterpreted data are of
type opaque.
A type alias T' for an existing type T is defined by:
T T';
3.3. Numbers
The basic numeric data type is an unsigned byte (uint8). All larger
numeric data types are constructed from a fixed-length series of
bytes concatenated as described in Section 3.1 and are also unsigned.
The following numeric types are predefined.
uint8 uint16[2];
uint8 uint24[3];
uint8 uint32[4];
uint8 uint64[8];
All values, here and elsewhere in the specification, are transmitted
in network byte (big-endian) order; the uint32 represented by the hex
bytes 01 02 03 04 is equivalent to the decimal value 16909060.
3.4. Vectors
A vector (single-dimensioned array) is a stream of homogeneous data
elements. The size of the vector may be specified at documentation
time or left unspecified until runtime. In either case, the length
declares the number of bytes, not the number of elements, in the
vector. The syntax for specifying a new type, T', that is a fixed-
length vector of type T is
T T'[n];
Here, T' occupies n bytes in the data stream, where n is a multiple
of the size of T. The length of the vector is not included in the
encoded stream.
Rescorla Standards Track [Page 20]
^L
RFC 8446 TLS August 2018
In the following example, Datum is defined to be three consecutive
bytes that the protocol does not interpret, while Data is three
consecutive Datum, consuming a total of nine bytes.
opaque Datum[3]; /* three uninterpreted bytes */
Datum Data[9]; /* three consecutive 3-byte vectors */
Variable-length vectors are defined by specifying a subrange of legal
lengths, inclusively, using the notation <floor..ceiling>. When
these are encoded, the actual length precedes the vector's contents
in the byte stream. The length will be in the form of a number
consuming as many bytes as required to hold the vector's specified
maximum (ceiling) length. A variable-length vector with an actual
length field of zero is referred to as an empty vector.
T T'<floor..ceiling>;
In the following example, "mandatory" is a vector that must contain
between 300 and 400 bytes of type opaque. It can never be empty.
The actual length field consumes two bytes, a uint16, which is
sufficient to represent the value 400 (see Section 3.3). Similarly,
"longer" can represent up to 800 bytes of data, or 400 uint16
elements, and it may be empty. Its encoding will include a two-byte
actual length field prepended to the vector. The length of an
encoded vector must be an exact multiple of the length of a single
element (e.g., a 17-byte vector of uint16 would be illegal).
opaque mandatory<300..400>;
/* length field is two bytes, cannot be empty */
uint16 longer<0..800>;
/* zero to 400 16-bit unsigned integers */
3.5. Enumerateds
An additional sparse data type, called "enum" or "enumerated", is
available. Each definition is a different type. Only enumerateds of
the same type may be assigned or compared. Every element of an
enumerated must be assigned a value, as demonstrated in the following
example. Since the elements of the enumerated are not ordered, they
can be assigned any unique value, in any order.
enum { e1(v1), e2(v2), ... , en(vn) [[, (n)]] } Te;
Future extensions or additions to the protocol may define new values.
Implementations need to be able to parse and ignore unknown values
unless the definition of the field states otherwise.
Rescorla Standards Track [Page 21]
^L
RFC 8446 TLS August 2018
An enumerated occupies as much space in the byte stream as would its
maximal defined ordinal value. The following definition would cause
one byte to be used to carry fields of type Color.
enum { red(3), blue(5), white(7) } Color;
One may optionally specify a value without its associated tag to
force the width definition without defining a superfluous element.
In the following example, Taste will consume two bytes in the data
stream but can only assume the values 1, 2, or 4 in the current
version of the protocol.
enum { sweet(1), sour(2), bitter(4), (32000) } Taste;
The names of the elements of an enumeration are scoped within the
defined type. In the first example, a fully qualified reference to
the second element of the enumeration would be Color.blue. Such
qualification is not required if the target of the assignment is well
specified.
Color color = Color.blue; /* overspecified, legal */
Color color = blue; /* correct, type implicit */
The names assigned to enumerateds do not need to be unique. The
numerical value can describe a range over which the same name
applies. The value includes the minimum and maximum inclusive values
in that range, separated by two period characters. This is
principally useful for reserving regions of the space.
enum { sad(0), meh(1..254), happy(255) } Mood;
3.6. Constructed Types
Structure types may be constructed from primitive types for
convenience. Each specification declares a new, unique type. The
syntax used for definitions is much like that of C.
struct {
T1 f1;
T2 f2;
...
Tn fn;
} T;
Fixed- and variable-length vector fields are allowed using the
standard vector syntax. Structures V1 and V2 in the variants example
(Section 3.8) demonstrate this.
Rescorla Standards Track [Page 22]
^L
RFC 8446 TLS August 2018
The fields within a structure may be qualified using the type's name,
with a syntax much like that available for enumerateds. For example,
T.f2 refers to the second field of the previous declaration.
3.7. Constants
Fields and variables may be assigned a fixed value using "=", as in:
struct {
T1 f1 = 8; /* T.f1 must always be 8 */
T2 f2;
} T;
3.8. Variants
Defined structures may have variants based on some knowledge that is
available within the environment. The selector must be an enumerated
type that defines the possible variants the structure defines. Each
arm of the select (below) specifies the type of that variant's field
and an optional field label. The mechanism by which the variant is
selected at runtime is not prescribed by the presentation language.
struct {
T1 f1;
T2 f2;
....
Tn fn;
select (E) {
case e1: Te1 [[fe1]];
case e2: Te2 [[fe2]];
....
case en: Ten [[fen]];
};
} Tv;
Rescorla Standards Track [Page 23]
^L
RFC 8446 TLS August 2018
For example:
enum { apple(0), orange(1) } VariantTag;
struct {
uint16 number;
opaque string<0..10>; /* variable length */
} V1;
struct {
uint32 number;
opaque string[10]; /* fixed length */
} V2;
struct {
VariantTag type;
select (VariantRecord.type) {
case apple: V1;
case orange: V2;
};
} VariantRecord;
4. Handshake Protocol
The handshake protocol is used to negotiate the security parameters
of a connection. Handshake messages are supplied to the TLS record
layer, where they are encapsulated within one or more TLSPlaintext or
TLSCiphertext structures which are processed and transmitted as
specified by the current active connection state.
Rescorla Standards Track [Page 24]
^L
RFC 8446 TLS August 2018
enum {
client_hello(1),
server_hello(2),
new_session_ticket(4),
end_of_early_data(5),
encrypted_extensions(8),
certificate(11),
certificate_request(13),
certificate_verify(15),
finished(20),
key_update(24),
message_hash(254),
(255)
} HandshakeType;
struct {
HandshakeType msg_type; /* handshake type */
uint24 length; /* remaining bytes in message */
select (Handshake.msg_type) {
case client_hello: ClientHello;
case server_hello: ServerHello;
case end_of_early_data: EndOfEarlyData;
case encrypted_extensions: EncryptedExtensions;
case certificate_request: CertificateRequest;
case certificate: Certificate;
case certificate_verify: CertificateVerify;
case finished: Finished;
case new_session_ticket: NewSessionTicket;
case key_update: KeyUpdate;
};
} Handshake;
Protocol messages MUST be sent in the order defined in Section 4.4.1
and shown in the diagrams in Section 2. A peer which receives a
handshake message in an unexpected order MUST abort the handshake
with an "unexpected_message" alert.
New handshake message types are assigned by IANA as described in
Section 11.
4.1. Key Exchange Messages
The key exchange messages are used to determine the security
capabilities of the client and the server and to establish shared
secrets, including the traffic keys used to protect the rest of the
handshake and the data.
Rescorla Standards Track [Page 25]
^L
RFC 8446 TLS August 2018
4.1.1. Cryptographic Negotiation
In TLS, the cryptographic negotiation proceeds by the client offering
the following four sets of options in its ClientHello:
- A list of cipher suites which indicates the AEAD algorithm/HKDF
hash pairs which the client supports.
- A "supported_groups" (Section 4.2.7) extension which indicates the
(EC)DHE groups which the client supports and a "key_share"
(Section 4.2.8) extension which contains (EC)DHE shares for some
or all of these groups.
- A "signature_algorithms" (Section 4.2.3) extension which indicates
the signature algorithms which the client can accept. A
"signature_algorithms_cert" extension (Section 4.2.3) may also be
added to indicate certificate-specific signature algorithms.
- A "pre_shared_key" (Section 4.2.11) extension which contains a
list of symmetric key identities known to the client and a
"psk_key_exchange_modes" (Section 4.2.9) extension which indicates
the key exchange modes that may be used with PSKs.
If the server does not select a PSK, then the first three of these
options are entirely orthogonal: the server independently selects a
cipher suite, an (EC)DHE group and key share for key establishment,
and a signature algorithm/certificate pair to authenticate itself to
the client. If there is no overlap between the received
"supported_groups" and the groups supported by the server, then the
server MUST abort the handshake with a "handshake_failure" or an
"insufficient_security" alert.
If the server selects a PSK, then it MUST also select a key
establishment mode from the set indicated by the client's
"psk_key_exchange_modes" extension (at present, PSK alone or with
(EC)DHE). Note that if the PSK can be used without (EC)DHE, then
non-overlap in the "supported_groups" parameters need not be fatal,
as it is in the non-PSK case discussed in the previous paragraph.
If the server selects an (EC)DHE group and the client did not offer a
compatible "key_share" extension in the initial ClientHello, the
server MUST respond with a HelloRetryRequest (Section 4.1.4) message.
Rescorla Standards Track [Page 26]
^L
RFC 8446 TLS August 2018
If the server successfully selects parameters and does not require a
HelloRetryRequest, it indicates the selected parameters in the
ServerHello as follows:
- If PSK is being used, then the server will send a "pre_shared_key"
extension indicating the selected key.
- When (EC)DHE is in use, the server will also provide a "key_share"
extension. If PSK is not being used, then (EC)DHE and
certificate-based authentication are always used.
- When authenticating via a certificate, the server will send the
Certificate (Section 4.4.2) and CertificateVerify (Section 4.4.3)
messages. In TLS 1.3 as defined by this document, either a PSK or
a certificate is always used, but not both. Future documents may
define how to use them together.
If the server is unable to negotiate a supported set of parameters
(i.e., there is no overlap between the client and server parameters),
it MUST abort the handshake with either a "handshake_failure" or
"insufficient_security" fatal alert (see Section 6).
4.1.2. Client Hello
When a client first connects to a server, it is REQUIRED to send the
ClientHello as its first TLS message. The client will also send a
ClientHello when the server has responded to its ClientHello with a
HelloRetryRequest. In that case, the client MUST send the same
ClientHello without modification, except as follows:
- If a "key_share" extension was supplied in the HelloRetryRequest,
replacing the list of shares with a list containing a single
KeyShareEntry from the indicated group.
- Removing the "early_data" extension (Section 4.2.10) if one was
present. Early data is not permitted after a HelloRetryRequest.
- Including a "cookie" extension if one was provided in the
HelloRetryRequest.
Rescorla Standards Track [Page 27]
^L
RFC 8446 TLS August 2018
- Updating the "pre_shared_key" extension if present by recomputing
the "obfuscated_ticket_age" and binder values and (optionally)
removing any PSKs which are incompatible with the server's
indicated cipher suite.
- Optionally adding, removing, or changing the length of the
"padding" extension [RFC7685].
- Other modifications that may be allowed by an extension defined in
the future and present in the HelloRetryRequest.
Because TLS 1.3 forbids renegotiation, if a server has negotiated
TLS 1.3 and receives a ClientHello at any other time, it MUST
terminate the connection with an "unexpected_message" alert.
If a server established a TLS connection with a previous version of
TLS and receives a TLS 1.3 ClientHello in a renegotiation, it MUST
retain the previous protocol version. In particular, it MUST NOT
negotiate TLS 1.3.
Structure of this message:
uint16 ProtocolVersion;
opaque Random[32];
uint8 CipherSuite[2]; /* Cryptographic suite selector */
struct {
ProtocolVersion legacy_version = 0x0303; /* TLS v1.2 */
Random random;
opaque legacy_session_id<0..32>;
CipherSuite cipher_suites<2..2^16-2>;
opaque legacy_compression_methods<1..2^8-1>;
Extension extensions<8..2^16-1>;
} ClientHello;
Rescorla Standards Track [Page 28]
^L
RFC 8446 TLS August 2018
legacy_version: In previous versions of TLS, this field was used for
version negotiation and represented the highest version number
supported by the client. Experience has shown that many servers
do not properly implement version negotiation, leading to "version
intolerance" in which the server rejects an otherwise acceptable
ClientHello with a version number higher than it supports. In
TLS 1.3, the client indicates its version preferences in the
"supported_versions" extension (Section 4.2.1) and the
legacy_version field MUST be set to 0x0303, which is the version
number for TLS 1.2. TLS 1.3 ClientHellos are identified as having
a legacy_version of 0x0303 and a supported_versions extension
present with 0x0304 as the highest version indicated therein.
(See Appendix D for details about backward compatibility.)
random: 32 bytes generated by a secure random number generator. See
Appendix C for additional information.
legacy_session_id: Versions of TLS before TLS 1.3 supported a
"session resumption" feature which has been merged with pre-shared
keys in this version (see Section 2.2). A client which has a
cached session ID set by a pre-TLS 1.3 server SHOULD set this
field to that value. In compatibility mode (see Appendix D.4),
this field MUST be non-empty, so a client not offering a
pre-TLS 1.3 session MUST generate a new 32-byte value. This value
need not be random but SHOULD be unpredictable to avoid
implementations fixating on a specific value (also known as
ossification). Otherwise, it MUST be set as a zero-length vector
(i.e., a zero-valued single byte length field).
cipher_suites: A list of the symmetric cipher options supported by
the client, specifically the record protection algorithm
(including secret key length) and a hash to be used with HKDF, in
descending order of client preference. Values are defined in
Appendix B.4. If the list contains cipher suites that the server
does not recognize, support, or wish to use, the server MUST
ignore those cipher suites and process the remaining ones as
usual. If the client is attempting a PSK key establishment, it
SHOULD advertise at least one cipher suite indicating a Hash
associated with the PSK.
Rescorla Standards Track [Page 29]
^L
RFC 8446 TLS August 2018
legacy_compression_methods: Versions of TLS before 1.3 supported
compression with the list of supported compression methods being
sent in this field. For every TLS 1.3 ClientHello, this vector
MUST contain exactly one byte, set to zero, which corresponds to
the "null" compression method in prior versions of TLS. If a
TLS 1.3 ClientHello is received with any other value in this
field, the server MUST abort the handshake with an
"illegal_parameter" alert. Note that TLS 1.3 servers might
receive TLS 1.2 or prior ClientHellos which contain other
compression methods and (if negotiating such a prior version) MUST
follow the procedures for the appropriate prior version of TLS.
extensions: Clients request extended functionality from servers by
sending data in the extensions field. The actual "Extension"
format is defined in Section 4.2. In TLS 1.3, the use of certain
extensions is mandatory, as functionality has moved into
extensions to preserve ClientHello compatibility with previous
versions of TLS. Servers MUST ignore unrecognized extensions.
All versions of TLS allow an extensions field to optionally follow
the compression_methods field. TLS 1.3 ClientHello messages always
contain extensions (minimally "supported_versions", otherwise, they
will be interpreted as TLS 1.2 ClientHello messages). However,
TLS 1.3 servers might receive ClientHello messages without an
extensions field from prior versions of TLS. The presence of
extensions can be detected by determining whether there are bytes
following the compression_methods field at the end of the
ClientHello. Note that this method of detecting optional data
differs from the normal TLS method of having a variable-length field,
but it is used for compatibility with TLS before extensions were
defined. TLS 1.3 servers will need to perform this check first and
only attempt to negotiate TLS 1.3 if the "supported_versions"
extension is present. If negotiating a version of TLS prior to 1.3,
a server MUST check that the message either contains no data after
legacy_compression_methods or that it contains a valid extensions
block with no data following. If not, then it MUST abort the
handshake with a "decode_error" alert.
In the event that a client requests additional functionality using
extensions and this functionality is not supplied by the server, the
client MAY abort the handshake.
After sending the ClientHello message, the client waits for a
ServerHello or HelloRetryRequest message. If early data is in use,
the client may transmit early Application Data (Section 2.3) while
waiting for the next handshake message.
Rescorla Standards Track [Page 30]
^L
RFC 8446 TLS August 2018
4.1.3. Server Hello
The server will send this message in response to a ClientHello
message to proceed with the handshake if it is able to negotiate an
acceptable set of handshake parameters based on the ClientHello.
Structure of this message:
struct {
ProtocolVersion legacy_version = 0x0303; /* TLS v1.2 */
Random random;
opaque legacy_session_id_echo<0..32>;
CipherSuite cipher_suite;
uint8 legacy_compression_method = 0;
Extension extensions<6..2^16-1>;
} ServerHello;
legacy_version: In previous versions of TLS, this field was used for
version negotiation and represented the selected version number
for the connection. Unfortunately, some middleboxes fail when
presented with new values. In TLS 1.3, the TLS server indicates
its version using the "supported_versions" extension
(Section 4.2.1), and the legacy_version field MUST be set to
0x0303, which is the version number for TLS 1.2. (See Appendix D
for details about backward compatibility.)
random: 32 bytes generated by a secure random number generator. See
Appendix C for additional information. The last 8 bytes MUST be
overwritten as described below if negotiating TLS 1.2 or TLS 1.1,
but the remaining bytes MUST be random. This structure is
generated by the server and MUST be generated independently of the
ClientHello.random.
legacy_session_id_echo: The contents of the client's
legacy_session_id field. Note that this field is echoed even if
the client's value corresponded to a cached pre-TLS 1.3 session
which the server has chosen not to resume. A client which
receives a legacy_session_id_echo field that does not match what
it sent in the ClientHello MUST abort the handshake with an
"illegal_parameter" alert.
cipher_suite: The single cipher suite selected by the server from
the list in ClientHello.cipher_suites. A client which receives a
cipher suite that was not offered MUST abort the handshake with an
"illegal_parameter" alert.
legacy_compression_method: A single byte which MUST have the
value 0.
Rescorla Standards Track [Page 31]
^L
RFC 8446 TLS August 2018
extensions: A list of extensions. The ServerHello MUST only include
extensions which are required to establish the cryptographic
context and negotiate the protocol version. All TLS 1.3
ServerHello messages MUST contain the "supported_versions"
extension. Current ServerHello messages additionally contain
either the "pre_shared_key" extension or the "key_share"
extension, or both (when using a PSK with (EC)DHE key
establishment). Other extensions (see Section 4.2) are sent
separately in the EncryptedExtensions message.
For reasons of backward compatibility with middleboxes (see
Appendix D.4), the HelloRetryRequest message uses the same structure
as the ServerHello, but with Random set to the special value of the
SHA-256 of "HelloRetryRequest":
CF 21 AD 74 E5 9A 61 11 BE 1D 8C 02 1E 65 B8 91
C2 A2 11 16 7A BB 8C 5E 07 9E 09 E2 C8 A8 33 9C
Upon receiving a message with type server_hello, implementations MUST
first examine the Random value and, if it matches this value, process
it as described in Section 4.1.4).
TLS 1.3 has a downgrade protection mechanism embedded in the server's
random value. TLS 1.3 servers which negotiate TLS 1.2 or below in
response to a ClientHello MUST set the last 8 bytes of their Random
value specially in their ServerHello.
If negotiating TLS 1.2, TLS 1.3 servers MUST set the last 8 bytes of
their Random value to the bytes:
44 4F 57 4E 47 52 44 01
If negotiating TLS 1.1 or below, TLS 1.3 servers MUST, and TLS 1.2
servers SHOULD, set the last 8 bytes of their ServerHello.Random
value to the bytes:
44 4F 57 4E 47 52 44 00
TLS 1.3 clients receiving a ServerHello indicating TLS 1.2 or below
MUST check that the last 8 bytes are not equal to either of these
values. TLS 1.2 clients SHOULD also check that the last 8 bytes are
not equal to the second value if the ServerHello indicates TLS 1.1 or
below. If a match is found, the client MUST abort the handshake with
an "illegal_parameter" alert. This mechanism provides limited
protection against downgrade attacks over and above what is provided
by the Finished exchange: because the ServerKeyExchange, a message
present in TLS 1.2 and below, includes a signature over both random
values, it is not possible for an active attacker to modify the
Rescorla Standards Track [Page 32]
^L
RFC 8446 TLS August 2018
random values without detection as long as ephemeral ciphers are
used. It does not provide downgrade protection when static RSA
is used.
Note: This is a change from [RFC5246], so in practice many TLS 1.2
clients and servers will not behave as specified above.
A legacy TLS client performing renegotiation with TLS 1.2 or prior
and which receives a TLS 1.3 ServerHello during renegotiation MUST
abort the handshake with a "protocol_version" alert. Note that
renegotiation is not possible when TLS 1.3 has been negotiated.
4.1.4. Hello Retry Request
The server will send this message in response to a ClientHello
message if it is able to find an acceptable set of parameters but the
ClientHello does not contain sufficient information to proceed with
the handshake. As discussed in Section 4.1.3, the HelloRetryRequest
has the same format as a ServerHello message, and the legacy_version,
legacy_session_id_echo, cipher_suite, and legacy_compression_method
fields have the same meaning. However, for convenience we discuss
"HelloRetryRequest" throughout this document as if it were a distinct
message.
The server's extensions MUST contain "supported_versions".
Additionally, it SHOULD contain the minimal set of extensions
necessary for the client to generate a correct ClientHello pair. As
with the ServerHello, a HelloRetryRequest MUST NOT contain any
extensions that were not first offered by the client in its
ClientHello, with the exception of optionally the "cookie" (see
Section 4.2.2) extension.
Upon receipt of a HelloRetryRequest, the client MUST check the
legacy_version, legacy_session_id_echo, cipher_suite, and
legacy_compression_method as specified in Section 4.1.3 and then
process the extensions, starting with determining the version using
"supported_versions". Clients MUST abort the handshake with an
"illegal_parameter" alert if the HelloRetryRequest would not result
in any change in the ClientHello. If a client receives a second
HelloRetryRequest in the same connection (i.e., where the ClientHello
was itself in response to a HelloRetryRequest), it MUST abort the
handshake with an "unexpected_message" alert.
Rescorla Standards Track [Page 33]
^L
RFC 8446 TLS August 2018
Otherwise, the client MUST process all extensions in the
HelloRetryRequest and send a second updated ClientHello. The
HelloRetryRequest extensions defined in this specification are:
- supported_versions (see Section 4.2.1)
- cookie (see Section 4.2.2)
- key_share (see Section 4.2.8)
A client which receives a cipher suite that was not offered MUST
abort the handshake. Servers MUST ensure that they negotiate the
same cipher suite when receiving a conformant updated ClientHello (if
the server selects the cipher suite as the first step in the
negotiation, then this will happen automatically). Upon receiving
the ServerHello, clients MUST check that the cipher suite supplied in
the ServerHello is the same as that in the HelloRetryRequest and
otherwise abort the handshake with an "illegal_parameter" alert.
In addition, in its updated ClientHello, the client SHOULD NOT offer
any pre-shared keys associated with a hash other than that of the
selected cipher suite. This allows the client to avoid having to
compute partial hash transcripts for multiple hashes in the second
ClientHello.
The value of selected_version in the HelloRetryRequest
"supported_versions" extension MUST be retained in the ServerHello,
and a client MUST abort the handshake with an "illegal_parameter"
alert if the value changes.
Rescorla Standards Track [Page 34]
^L
RFC 8446 TLS August 2018
4.2. Extensions
A number of TLS messages contain tag-length-value encoded extensions
structures.
struct {
ExtensionType extension_type;
opaque extension_data<0..2^16-1>;
} Extension;
enum {
server_name(0), /* RFC 6066 */
max_fragment_length(1), /* RFC 6066 */
status_request(5), /* RFC 6066 */
supported_groups(10), /* RFC 8422, 7919 */
signature_algorithms(13), /* RFC 8446 */
use_srtp(14), /* RFC 5764 */
heartbeat(15), /* RFC 6520 */
application_layer_protocol_negotiation(16), /* RFC 7301 */
signed_certificate_timestamp(18), /* RFC 6962 */
client_certificate_type(19), /* RFC 7250 */
server_certificate_type(20), /* RFC 7250 */
padding(21), /* RFC 7685 */
pre_shared_key(41), /* RFC 8446 */
early_data(42), /* RFC 8446 */
supported_versions(43), /* RFC 8446 */
cookie(44), /* RFC 8446 */
psk_key_exchange_modes(45), /* RFC 8446 */
certificate_authorities(47), /* RFC 8446 */
oid_filters(48), /* RFC 8446 */
post_handshake_auth(49), /* RFC 8446 */
signature_algorithms_cert(50), /* RFC 8446 */
key_share(51), /* RFC 8446 */
(65535)
} ExtensionType;
Rescorla Standards Track [Page 35]
^L
RFC 8446 TLS August 2018
Here:
- "extension_type" identifies the particular extension type.
- "extension_data" contains information specific to the particular
extension type.
The list of extension types is maintained by IANA as described in
Section 11.
Extensions are generally structured in a request/response fashion,
though some extensions are just indications with no corresponding
response. The client sends its extension requests in the ClientHello
message, and the server sends its extension responses in the
ServerHello, EncryptedExtensions, HelloRetryRequest, and Certificate
messages. The server sends extension requests in the
CertificateRequest message which a client MAY respond to with a
Certificate message. The server MAY also send unsolicited extensions
in the NewSessionTicket, though the client does not respond directly
to these.
Implementations MUST NOT send extension responses if the remote
endpoint did not send the corresponding extension requests, with the
exception of the "cookie" extension in the HelloRetryRequest. Upon
receiving such an extension, an endpoint MUST abort the handshake
with an "unsupported_extension" alert.
The table below indicates the messages where a given extension may
appear, using the following notation: CH (ClientHello),
SH (ServerHello), EE (EncryptedExtensions), CT (Certificate),
CR (CertificateRequest), NST (NewSessionTicket), and
HRR (HelloRetryRequest). If an implementation receives an extension
which it recognizes and which is not specified for the message in
which it appears, it MUST abort the handshake with an
"illegal_parameter" alert.
Rescorla Standards Track [Page 36]
^L
RFC 8446 TLS August 2018
+--------------------------------------------------+-------------+
| Extension | TLS 1.3 |
+--------------------------------------------------+-------------+
| server_name [RFC6066] | CH, EE |
| | |
| max_fragment_length [RFC6066] | CH, EE |
| | |
| status_request [RFC6066] | CH, CR, CT |
| | |
| supported_groups [RFC7919] | CH, EE |
| | |
| signature_algorithms (RFC 8446) | CH, CR |
| | |
| use_srtp [RFC5764] | CH, EE |
| | |
| heartbeat [RFC6520] | CH, EE |
| | |
| application_layer_protocol_negotiation [RFC7301] | CH, EE |
| | |
| signed_certificate_timestamp [RFC6962] | CH, CR, CT |
| | |
| client_certificate_type [RFC7250] | CH, EE |
| | |
| server_certificate_type [RFC7250] | CH, EE |
| | |
| padding [RFC7685] | CH |
| | |
| key_share (RFC 8446) | CH, SH, HRR |
| | |
| pre_shared_key (RFC 8446) | CH, SH |
| | |
| psk_key_exchange_modes (RFC 8446) | CH |
| | |
| early_data (RFC 8446) | CH, EE, NST |
| | |
| cookie (RFC 8446) | CH, HRR |
| | |
| supported_versions (RFC 8446) | CH, SH, HRR |
| | |
| certificate_authorities (RFC 8446) | CH, CR |
| | |
| oid_filters (RFC 8446) | CR |
| | |
| post_handshake_auth (RFC 8446) | CH |
| | |
| signature_algorithms_cert (RFC 8446) | CH, CR |
+--------------------------------------------------+-------------+
Rescorla Standards Track [Page 37]
^L
RFC 8446 TLS August 2018
When multiple extensions of different types are present, the
extensions MAY appear in any order, with the exception of
"pre_shared_key" (Section 4.2.11) which MUST be the last extension in
the ClientHello (but can appear anywhere in the ServerHello
extensions block). There MUST NOT be more than one extension of the
same type in a given extension block.
In TLS 1.3, unlike TLS 1.2, extensions are negotiated for each
handshake even when in resumption-PSK mode. However, 0-RTT
parameters are those negotiated in the previous handshake; mismatches
may require rejecting 0-RTT (see Section 4.2.10).
There are subtle (and not so subtle) interactions that may occur in
this protocol between new features and existing features which may
result in a significant reduction in overall security. The following
considerations should be taken into account when designing new
extensions:
- Some cases where a server does not agree to an extension are error
conditions (e.g., the handshake cannot continue), and some are
simply refusals to support particular features. In general, error
alerts should be used for the former and a field in the server
extension response for the latter.
- Extensions should, as far as possible, be designed to prevent any
attack that forces use (or non-use) of a particular feature by
manipulation of handshake messages. This principle should be
followed regardless of whether the feature is believed to cause a
security problem. Often the fact that the extension fields are
included in the inputs to the Finished message hashes will be
sufficient, but extreme care is needed when the extension changes
the meaning of messages sent in the handshake phase. Designers
and implementors should be aware of the fact that until the
handshake has been authenticated, active attackers can modify
messages and insert, remove, or replace extensions.
Rescorla Standards Track [Page 38]
^L
RFC 8446 TLS August 2018
4.2.1. Supported Versions
struct {
select (Handshake.msg_type) {
case client_hello:
ProtocolVersion versions<2..254>;
case server_hello: /* and HelloRetryRequest */
ProtocolVersion selected_version;
};
} SupportedVersions;
The "supported_versions" extension is used by the client to indicate
which versions of TLS it supports and by the server to indicate which
version it is using. The extension contains a list of supported
versions in preference order, with the most preferred version first.
Implementations of this specification MUST send this extension in the
ClientHello containing all versions of TLS which they are prepared to
negotiate (for this specification, that means minimally 0x0304, but
if previous versions of TLS are allowed to be negotiated, they MUST
be present as well).
If this extension is not present, servers which are compliant with
this specification and which also support TLS 1.2 MUST negotiate
TLS 1.2 or prior as specified in [RFC5246], even if
ClientHello.legacy_version is 0x0304 or later. Servers MAY abort the
handshake upon receiving a ClientHello with legacy_version 0x0304 or
later.
If this extension is present in the ClientHello, servers MUST NOT use
the ClientHello.legacy_version value for version negotiation and MUST
use only the "supported_versions" extension to determine client
preferences. Servers MUST only select a version of TLS present in
that extension and MUST ignore any unknown versions that are present
in that extension. Note that this mechanism makes it possible to
negotiate a version prior to TLS 1.2 if one side supports a sparse
range. Implementations of TLS 1.3 which choose to support prior
versions of TLS SHOULD support TLS 1.2. Servers MUST be prepared to
receive ClientHellos that include this extension but do not include
0x0304 in the list of versions.
A server which negotiates a version of TLS prior to TLS 1.3 MUST set
ServerHello.version and MUST NOT send the "supported_versions"
extension. A server which negotiates TLS 1.3 MUST respond by sending
a "supported_versions" extension containing the selected version
value (0x0304). It MUST set the ServerHello.legacy_version field to
0x0303 (TLS 1.2). Clients MUST check for this extension prior to
processing the rest of the ServerHello (although they will have to
Rescorla Standards Track [Page 39]
^L
RFC 8446 TLS August 2018
parse the ServerHello in order to read the extension). If this
extension is present, clients MUST ignore the
ServerHello.legacy_version value and MUST use only the
"supported_versions" extension to determine the selected version. If
the "supported_versions" extension in the ServerHello contains a
version not offered by the client or contains a version prior to
TLS 1.3, the client MUST abort the handshake with an
"illegal_parameter" alert.
4.2.2. Cookie
struct {
opaque cookie<1..2^16-1>;
} Cookie;
Cookies serve two primary purposes:
- Allowing the server to force the client to demonstrate
reachability at their apparent network address (thus providing a
measure of DoS protection). This is primarily useful for
non-connection-oriented transports (see [RFC6347] for an example
of this).
- Allowing the server to offload state to the client, thus allowing
it to send a HelloRetryRequest without storing any state. The
server can do this by storing the hash of the ClientHello in the
HelloRetryRequest cookie (protected with some suitable integrity
protection algorithm).
When sending a HelloRetryRequest, the server MAY provide a "cookie"
extension to the client (this is an exception to the usual rule that
the only extensions that may be sent are those that appear in the
ClientHello). When sending the new ClientHello, the client MUST copy
the contents of the extension received in the HelloRetryRequest into
a "cookie" extension in the new ClientHello. Clients MUST NOT use
cookies in their initial ClientHello in subsequent connections.
When a server is operating statelessly, it may receive an unprotected
record of type change_cipher_spec between the first and second
ClientHello (see Section 5). Since the server is not storing any
state, this will appear as if it were the first message to be
received. Servers operating statelessly MUST ignore these records.
Rescorla Standards Track [Page 40]
^L
RFC 8446 TLS August 2018
4.2.3. Signature Algorithms
TLS 1.3 provides two extensions for indicating which signature
algorithms may be used in digital signatures. The
"signature_algorithms_cert" extension applies to signatures in
certificates, and the "signature_algorithms" extension, which
originally appeared in TLS 1.2, applies to signatures in
CertificateVerify messages. The keys found in certificates MUST also
be of appropriate type for the signature algorithms they are used
with. This is a particular issue for RSA keys and PSS signatures, as
described below. If no "signature_algorithms_cert" extension is
present, then the "signature_algorithms" extension also applies to
signatures appearing in certificates. Clients which desire the
server to authenticate itself via a certificate MUST send the
"signature_algorithms" extension. If a server is authenticating via
a certificate and the client has not sent a "signature_algorithms"
extension, then the server MUST abort the handshake with a
"missing_extension" alert (see Section 9.2).
The "signature_algorithms_cert" extension was added to allow
implementations which supported different sets of algorithms for
certificates and in TLS itself to clearly signal their capabilities.
TLS 1.2 implementations SHOULD also process this extension.
Implementations which have the same policy in both cases MAY omit the
"signature_algorithms_cert" extension.
Rescorla Standards Track [Page 41]
^L
RFC 8446 TLS August 2018
The "extension_data" field of these extensions contains a
SignatureSchemeList value:
enum {
/* RSASSA-PKCS1-v1_5 algorithms */
rsa_pkcs1_sha256(0x0401),
rsa_pkcs1_sha384(0x0501),
rsa_pkcs1_sha512(0x0601),
/* ECDSA algorithms */
ecdsa_secp256r1_sha256(0x0403),
ecdsa_secp384r1_sha384(0x0503),
ecdsa_secp521r1_sha512(0x0603),
/* RSASSA-PSS algorithms with public key OID rsaEncryption */
rsa_pss_rsae_sha256(0x0804),
rsa_pss_rsae_sha384(0x0805),
rsa_pss_rsae_sha512(0x0806),
/* EdDSA algorithms */
ed25519(0x0807),
ed448(0x0808),
/* RSASSA-PSS algorithms with public key OID RSASSA-PSS */
rsa_pss_pss_sha256(0x0809),
rsa_pss_pss_sha384(0x080a),
rsa_pss_pss_sha512(0x080b),
/* Legacy algorithms */
rsa_pkcs1_sha1(0x0201),
ecdsa_sha1(0x0203),
/* Reserved Code Points */
private_use(0xFE00..0xFFFF),
(0xFFFF)
} SignatureScheme;
struct {
SignatureScheme supported_signature_algorithms<2..2^16-2>;
} SignatureSchemeList;
Note: This enum is named "SignatureScheme" because there is already a
"SignatureAlgorithm" type in TLS 1.2, which this replaces. We use
the term "signature algorithm" throughout the text.
Rescorla Standards Track [Page 42]
^L
RFC 8446 TLS August 2018
Each SignatureScheme value lists a single signature algorithm that
the client is willing to verify. The values are indicated in
descending order of preference. Note that a signature algorithm
takes as input an arbitrary-length message, rather than a digest.
Algorithms which traditionally act on a digest should be defined in
TLS to first hash the input with a specified hash algorithm and then
proceed as usual. The code point groups listed above have the
following meanings:
RSASSA-PKCS1-v1_5 algorithms: Indicates a signature algorithm using
RSASSA-PKCS1-v1_5 [RFC8017] with the corresponding hash algorithm
as defined in [SHS]. These values refer solely to signatures
which appear in certificates (see Section 4.4.2.2) and are not
defined for use in signed TLS handshake messages, although they
MAY appear in "signature_algorithms" and
"signature_algorithms_cert" for backward compatibility with
TLS 1.2.
ECDSA algorithms: Indicates a signature algorithm using ECDSA
[ECDSA], the corresponding curve as defined in ANSI X9.62 [ECDSA]
and FIPS 186-4 [DSS], and the corresponding hash algorithm as
defined in [SHS]. The signature is represented as a DER-encoded
[X690] ECDSA-Sig-Value structure.
RSASSA-PSS RSAE algorithms: Indicates a signature algorithm using
RSASSA-PSS [RFC8017] with mask generation function 1. The digest
used in the mask generation function and the digest being signed
are both the corresponding hash algorithm as defined in [SHS].
The length of the Salt MUST be equal to the length of the output
of the digest algorithm. If the public key is carried in an X.509
certificate, it MUST use the rsaEncryption OID [RFC5280].
EdDSA algorithms: Indicates a signature algorithm using EdDSA as
defined in [RFC8032] or its successors. Note that these
correspond to the "PureEdDSA" algorithms and not the "prehash"
variants.
RSASSA-PSS PSS algorithms: Indicates a signature algorithm using
RSASSA-PSS [RFC8017] with mask generation function 1. The digest
used in the mask generation function and the digest being signed
are both the corresponding hash algorithm as defined in [SHS].
The length of the Salt MUST be equal to the length of the digest
algorithm. If the public key is carried in an X.509 certificate,
it MUST use the RSASSA-PSS OID [RFC5756]. When used in
certificate signatures, the algorithm parameters MUST be DER
encoded. If the corresponding public key's parameters are
present, then the parameters in the signature MUST be identical to
those in the public key.
Rescorla Standards Track [Page 43]
^L
RFC 8446 TLS August 2018
Legacy algorithms: Indicates algorithms which are being deprecated
because they use algorithms with known weaknesses, specifically
SHA-1 which is used in this context with either (1) RSA using
RSASSA-PKCS1-v1_5 or (2) ECDSA. These values refer solely to
signatures which appear in certificates (see Section 4.4.2.2) and
are not defined for use in signed TLS handshake messages, although
they MAY appear in "signature_algorithms" and
"signature_algorithms_cert" for backward compatibility with
TLS 1.2. Endpoints SHOULD NOT negotiate these algorithms but are
permitted to do so solely for backward compatibility. Clients
offering these values MUST list them as the lowest priority
(listed after all other algorithms in SignatureSchemeList).
TLS 1.3 servers MUST NOT offer a SHA-1 signed certificate unless
no valid certificate chain can be produced without it (see
Section 4.4.2.2).
The signatures on certificates that are self-signed or certificates
that are trust anchors are not validated, since they begin a
certification path (see [RFC5280], Section 3.2). A certificate that
begins a certification path MAY use a signature algorithm that is not
advertised as being supported in the "signature_algorithms"
extension.
Note that TLS 1.2 defines this extension differently. TLS 1.3
implementations willing to negotiate TLS 1.2 MUST behave in
accordance with the requirements of [RFC5246] when negotiating that
version. In particular:
- TLS 1.2 ClientHellos MAY omit this extension.
- In TLS 1.2, the extension contained hash/signature pairs. The
pairs are encoded in two octets, so SignatureScheme values have
been allocated to align with TLS 1.2's encoding. Some legacy
pairs are left unallocated. These algorithms are deprecated as of
TLS 1.3. They MUST NOT be offered or negotiated by any
implementation. In particular, MD5 [SLOTH], SHA-224, and DSA
MUST NOT be used.
- ECDSA signature schemes align with TLS 1.2's ECDSA hash/signature
pairs. However, the old semantics did not constrain the signing
curve. If TLS 1.2 is negotiated, implementations MUST be prepared
to accept a signature that uses any curve that they advertised in
the "supported_groups" extension.
- Implementations that advertise support for RSASSA-PSS (which is
mandatory in TLS 1.3) MUST be prepared to accept a signature using
that scheme even when TLS 1.2 is negotiated. In TLS 1.2,
RSASSA-PSS is used with RSA cipher suites.
Rescorla Standards Track [Page 44]
^L
RFC 8446 TLS August 2018
4.2.4. Certificate Authorities
The "certificate_authorities" extension is used to indicate the
certificate authorities (CAs) which an endpoint supports and which
SHOULD be used by the receiving endpoint to guide certificate
selection.
The body of the "certificate_authorities" extension consists of a
CertificateAuthoritiesExtension structure.
opaque DistinguishedName<1..2^16-1>;
struct {
DistinguishedName authorities<3..2^16-1>;
} CertificateAuthoritiesExtension;
authorities: A list of the distinguished names [X501] of acceptable
certificate authorities, represented in DER-encoded [X690] format.
These distinguished names specify a desired distinguished name for
a trust anchor or subordinate CA; thus, this message can be used
to describe known trust anchors as well as a desired authorization
space.
The client MAY send the "certificate_authorities" extension in the
ClientHello message. The server MAY send it in the
CertificateRequest message.
The "trusted_ca_keys" extension [RFC6066], which serves a similar
purpose but is more complicated, is not used in TLS 1.3 (although it
may appear in ClientHello messages from clients which are offering
prior versions of TLS).
4.2.5. OID Filters
The "oid_filters" extension allows servers to provide a set of
OID/value pairs which it would like the client's certificate to
match. This extension, if provided by the server, MUST only be sent
in the CertificateRequest message.
struct {
opaque certificate_extension_oid<1..2^8-1>;
opaque certificate_extension_values<0..2^16-1>;
} OIDFilter;
struct {
OIDFilter filters<0..2^16-1>;
} OIDFilterExtension;
Rescorla Standards Track [Page 45]
^L
RFC 8446 TLS August 2018
filters: A list of certificate extension OIDs [RFC5280] with their
allowed value(s) and represented in DER-encoded [X690] format.
Some certificate extension OIDs allow multiple values (e.g.,
Extended Key Usage). If the server has included a non-empty
filters list, the client certificate included in the response MUST
contain all of the specified extension OIDs that the client
recognizes. For each extension OID recognized by the client, all
of the specified values MUST be present in the client certificate
(but the certificate MAY have other values as well). However, the
client MUST ignore and skip any unrecognized certificate extension
OIDs. If the client ignored some of the required certificate
extension OIDs and supplied a certificate that does not satisfy
the request, the server MAY at its discretion either continue the
connection without client authentication or abort the handshake
with an "unsupported_certificate" alert. Any given OID MUST NOT
appear more than once in the filters list.
PKIX RFCs define a variety of certificate extension OIDs and their
corresponding value types. Depending on the type, matching
certificate extension values are not necessarily bitwise-equal. It
is expected that TLS implementations will rely on their PKI libraries
to perform certificate selection using certificate extension OIDs.
This document defines matching rules for two standard certificate
extensions defined in [RFC5280]:
- The Key Usage extension in a certificate matches the request when
all key usage bits asserted in the request are also asserted in
the Key Usage certificate extension.
- The Extended Key Usage extension in a certificate matches the
request when all key purpose OIDs present in the request are also
found in the Extended Key Usage certificate extension. The
special anyExtendedKeyUsage OID MUST NOT be used in the request.
Separate specifications may define matching rules for other
certificate extensions.
Rescorla Standards Track [Page 46]
^L
RFC 8446 TLS August 2018
4.2.6. Post-Handshake Client Authentication
The "post_handshake_auth" extension is used to indicate that a client
is willing to perform post-handshake authentication (Section 4.6.2).
Servers MUST NOT send a post-handshake CertificateRequest to clients
which do not offer this extension. Servers MUST NOT send this
extension.
struct {} PostHandshakeAuth;
The "extension_data" field of the "post_handshake_auth" extension is
zero length.
4.2.7. Supported Groups
When sent by the client, the "supported_groups" extension indicates
the named groups which the client supports for key exchange, ordered
from most preferred to least preferred.
Note: In versions of TLS prior to TLS 1.3, this extension was named
"elliptic_curves" and only contained elliptic curve groups. See
[RFC8422] and [RFC7919]. This extension was also used to negotiate
ECDSA curves. Signature algorithms are now negotiated independently
(see Section 4.2.3).
The "extension_data" field of this extension contains a
"NamedGroupList" value:
enum {
/* Elliptic Curve Groups (ECDHE) */
secp256r1(0x0017), secp384r1(0x0018), secp521r1(0x0019),
x25519(0x001D), x448(0x001E),
/* Finite Field Groups (DHE) */
ffdhe2048(0x0100), ffdhe3072(0x0101), ffdhe4096(0x0102),
ffdhe6144(0x0103), ffdhe8192(0x0104),
/* Reserved Code Points */
ffdhe_private_use(0x01FC..0x01FF),
ecdhe_private_use(0xFE00..0xFEFF),
(0xFFFF)
} NamedGroup;
struct {
NamedGroup named_group_list<2..2^16-1>;
} NamedGroupList;
Rescorla Standards Track [Page 47]
^L
RFC 8446 TLS August 2018
Elliptic Curve Groups (ECDHE): Indicates support for the
corresponding named curve, defined in either FIPS 186-4 [DSS] or
[RFC7748]. Values 0xFE00 through 0xFEFF are reserved for
Private Use [RFC8126].
Finite Field Groups (DHE): Indicates support for the corresponding
finite field group, defined in [RFC7919]. Values 0x01FC through
0x01FF are reserved for Private Use.
Items in named_group_list are ordered according to the sender's
preferences (most preferred choice first).
As of TLS 1.3, servers are permitted to send the "supported_groups"
extension to the client. Clients MUST NOT act upon any information
found in "supported_groups" prior to successful completion of the
handshake but MAY use the information learned from a successfully
completed handshake to change what groups they use in their
"key_share" extension in subsequent connections. If the server has a
group it prefers to the ones in the "key_share" extension but is
still willing to accept the ClientHello, it SHOULD send
"supported_groups" to update the client's view of its preferences;
this extension SHOULD contain all groups the server supports,
regardless of whether they are currently supported by the client.
4.2.8. Key Share
The "key_share" extension contains the endpoint's cryptographic
parameters.
Clients MAY send an empty client_shares vector in order to request
group selection from the server, at the cost of an additional round
trip (see Section 4.1.4).
struct {
NamedGroup group;
opaque key_exchange<1..2^16-1>;
} KeyShareEntry;
group: The named group for the key being exchanged.
key_exchange: Key exchange information. The contents of this field
are determined by the specified group and its corresponding
definition. Finite Field Diffie-Hellman [DH76] parameters are
described in Section 4.2.8.1; Elliptic Curve Diffie-Hellman
parameters are described in Section 4.2.8.2.
Rescorla Standards Track [Page 48]
^L
RFC 8446 TLS August 2018
In the ClientHello message, the "extension_data" field of this
extension contains a "KeyShareClientHello" value:
struct {
KeyShareEntry client_shares<0..2^16-1>;
} KeyShareClientHello;
client_shares: A list of offered KeyShareEntry values in descending
order of client preference.
This vector MAY be empty if the client is requesting a
HelloRetryRequest. Each KeyShareEntry value MUST correspond to a
group offered in the "supported_groups" extension and MUST appear in
the same order. However, the values MAY be a non-contiguous subset
of the "supported_groups" extension and MAY omit the most preferred
groups. Such a situation could arise if the most preferred groups
are new and unlikely to be supported in enough places to make
pregenerating key shares for them efficient.
Clients can offer as many KeyShareEntry values as the number of
supported groups it is offering, each representing a single set of
key exchange parameters. For instance, a client might offer shares
for several elliptic curves or multiple FFDHE groups. The
key_exchange values for each KeyShareEntry MUST be generated
independently. Clients MUST NOT offer multiple KeyShareEntry values
for the same group. Clients MUST NOT offer any KeyShareEntry values
for groups not listed in the client's "supported_groups" extension.
Servers MAY check for violations of these rules and abort the
handshake with an "illegal_parameter" alert if one is violated.
In a HelloRetryRequest message, the "extension_data" field of this
extension contains a KeyShareHelloRetryRequest value:
struct {
NamedGroup selected_group;
} KeyShareHelloRetryRequest;
selected_group: The mutually supported group the server intends to
negotiate and is requesting a retried ClientHello/KeyShare for.
Upon receipt of this extension in a HelloRetryRequest, the client
MUST verify that (1) the selected_group field corresponds to a group
which was provided in the "supported_groups" extension in the
original ClientHello and (2) the selected_group field does not
correspond to a group which was provided in the "key_share" extension
in the original ClientHello. If either of these checks fails, then
the client MUST abort the handshake with an "illegal_parameter"
alert. Otherwise, when sending the new ClientHello, the client MUST
Rescorla Standards Track [Page 49]
^L
RFC 8446 TLS August 2018
replace the original "key_share" extension with one containing only a
new KeyShareEntry for the group indicated in the selected_group field
of the triggering HelloRetryRequest.
In a ServerHello message, the "extension_data" field of this
extension contains a KeyShareServerHello value:
struct {
KeyShareEntry server_share;
} KeyShareServerHello;
server_share: A single KeyShareEntry value that is in the same group
as one of the client's shares.
If using (EC)DHE key establishment, servers offer exactly one
KeyShareEntry in the ServerHello. This value MUST be in the same
group as the KeyShareEntry value offered by the client that the
server has selected for the negotiated key exchange. Servers
MUST NOT send a KeyShareEntry for any group not indicated in the
client's "supported_groups" extension and MUST NOT send a
KeyShareEntry when using the "psk_ke" PskKeyExchangeMode. If using
(EC)DHE key establishment and a HelloRetryRequest containing a
"key_share" extension was received by the client, the client MUST
verify that the selected NamedGroup in the ServerHello is the same as
that in the HelloRetryRequest. If this check fails, the client MUST
abort the handshake with an "illegal_parameter" alert.
4.2.8.1. Diffie-Hellman Parameters
Diffie-Hellman [DH76] parameters for both clients and servers are
encoded in the opaque key_exchange field of a KeyShareEntry in a
KeyShare structure. The opaque value contains the Diffie-Hellman
public value (Y = g^X mod p) for the specified group (see [RFC7919]
for group definitions) encoded as a big-endian integer and padded to
the left with zeros to the size of p in bytes.
Note: For a given Diffie-Hellman group, the padding results in all
public keys having the same length.
Peers MUST validate each other's public key Y by ensuring that 1 < Y
< p-1. This check ensures that the remote peer is properly behaved
and isn't forcing the local system into a small subgroup.
Rescorla Standards Track [Page 50]
^L
RFC 8446 TLS August 2018
4.2.8.2. ECDHE Parameters
ECDHE parameters for both clients and servers are encoded in the
opaque key_exchange field of a KeyShareEntry in a KeyShare structure.
For secp256r1, secp384r1, and secp521r1, the contents are the
serialized value of the following struct:
struct {
uint8 legacy_form = 4;
opaque X[coordinate_length];
opaque Y[coordinate_length];
} UncompressedPointRepresentation;
X and Y, respectively, are the binary representations of the x and y
values in network byte order. There are no internal length markers,
so each number representation occupies as many octets as implied by
the curve parameters. For P-256, this means that each of X and Y use
32 octets, padded on the left by zeros if necessary. For P-384, they
take 48 octets each. For P-521, they take 66 octets each.
For the curves secp256r1, secp384r1, and secp521r1, peers MUST
validate each other's public value Q by ensuring that the point is a
valid point on the elliptic curve. The appropriate validation
procedures are defined in Section 4.3.7 of [ECDSA] and alternatively
in Section 5.6.2.3 of [KEYAGREEMENT]. This process consists of three
steps: (1) verify that Q is not the point at infinity (O), (2) verify
that for Q = (x, y) both integers x and y are in the correct
interval, and (3) ensure that (x, y) is a correct solution to the
elliptic curve equation. For these curves, implementors do not need
to verify membership in the correct subgroup.
For X25519 and X448, the contents of the public value are the byte
string inputs and outputs of the corresponding functions defined in
[RFC7748]: 32 bytes for X25519 and 56 bytes for X448.
Note: Versions of TLS prior to 1.3 permitted point format
negotiation; TLS 1.3 removes this feature in favor of a single point
format for each curve.
4.2.9. Pre-Shared Key Exchange Modes
In order to use PSKs, clients MUST also send a
"psk_key_exchange_modes" extension. The semantics of this extension
are that the client only supports the use of PSKs with these modes,
which restricts both the use of PSKs offered in this ClientHello and
those which the server might supply via NewSessionTicket.
Rescorla Standards Track [Page 51]
^L
RFC 8446 TLS August 2018
A client MUST provide a "psk_key_exchange_modes" extension if it
offers a "pre_shared_key" extension. If clients offer
"pre_shared_key" without a "psk_key_exchange_modes" extension,
servers MUST abort the handshake. Servers MUST NOT select a key
exchange mode that is not listed by the client. This extension also
restricts the modes for use with PSK resumption. Servers SHOULD NOT
send NewSessionTicket with tickets that are not compatible with the
advertised modes; however, if a server does so, the impact will just
be that the client's attempts at resumption fail.
The server MUST NOT send a "psk_key_exchange_modes" extension.
enum { psk_ke(0), psk_dhe_ke(1), (255) } PskKeyExchangeMode;
struct {
PskKeyExchangeMode ke_modes<1..255>;
} PskKeyExchangeModes;
psk_ke: PSK-only key establishment. In this mode, the server
MUST NOT supply a "key_share" value.
psk_dhe_ke: PSK with (EC)DHE key establishment. In this mode, the
client and server MUST supply "key_share" values as described in
Section 4.2.8.
Any future values that are allocated must ensure that the transmitted
protocol messages unambiguously identify which mode was selected by
the server; at present, this is indicated by the presence of the
"key_share" in the ServerHello.
4.2.10. Early Data Indication
When a PSK is used and early data is allowed for that PSK, the client
can send Application Data in its first flight of messages. If the
client opts to do so, it MUST supply both the "pre_shared_key" and
"early_data" extensions.
The "extension_data" field of this extension contains an
"EarlyDataIndication" value.
Rescorla Standards Track [Page 52]
^L
RFC 8446 TLS August 2018
struct {} Empty;
struct {
select (Handshake.msg_type) {
case new_session_ticket: uint32 max_early_data_size;
case client_hello: Empty;
case encrypted_extensions: Empty;
};
} EarlyDataIndication;
See Section 4.6.1 for details regarding the use of the
max_early_data_size field.
The parameters for the 0-RTT data (version, symmetric cipher suite,
Application-Layer Protocol Negotiation (ALPN) [RFC7301] protocol,
etc.) are those associated with the PSK in use. For externally
provisioned PSKs, the associated values are those provisioned along
with the key. For PSKs established via a NewSessionTicket message,
the associated values are those which were negotiated in the
connection which established the PSK. The PSK used to encrypt the
early data MUST be the first PSK listed in the client's
"pre_shared_key" extension.
For PSKs provisioned via NewSessionTicket, a server MUST validate
that the ticket age for the selected PSK identity (computed by
subtracting ticket_age_add from PskIdentity.obfuscated_ticket_age
modulo 2^32) is within a small tolerance of the time since the ticket
was issued (see Section 8). If it is not, the server SHOULD proceed
with the handshake but reject 0-RTT, and SHOULD NOT take any other
action that assumes that this ClientHello is fresh.
0-RTT messages sent in the first flight have the same (encrypted)
content types as messages of the same type sent in other flights
(handshake and application_data) but are protected under different
keys. After receiving the server's Finished message, if the server
has accepted early data, an EndOfEarlyData message will be sent to
indicate the key change. This message will be encrypted with the
0-RTT traffic keys.
Rescorla Standards Track [Page 53]
^L
RFC 8446 TLS August 2018
A server which receives an "early_data" extension MUST behave in one
of three ways:
- Ignore the extension and return a regular 1-RTT response. The
server then skips past early data by attempting to deprotect
received records using the handshake traffic key, discarding
records which fail deprotection (up to the configured
max_early_data_size). Once a record is deprotected successfully,
it is treated as the start of the client's second flight and the
server proceeds as with an ordinary 1-RTT handshake.
- Request that the client send another ClientHello by responding
with a HelloRetryRequest. A client MUST NOT include the
"early_data" extension in its followup ClientHello. The server
then ignores early data by skipping all records with an external
content type of "application_data" (indicating that they are
encrypted), up to the configured max_early_data_size.
- Return its own "early_data" extension in EncryptedExtensions,
indicating that it intends to process the early data. It is not
possible for the server to accept only a subset of the early data
messages. Even though the server sends a message accepting early
data, the actual early data itself may already be in flight by the
time the server generates this message.
In order to accept early data, the server MUST have accepted a PSK
cipher suite and selected the first key offered in the client's
"pre_shared_key" extension. In addition, it MUST verify that the
following values are the same as those associated with the
selected PSK:
- The TLS version number
- The selected cipher suite
- The selected ALPN [RFC7301] protocol, if any
These requirements are a superset of those needed to perform a 1-RTT
handshake using the PSK in question. For externally established
PSKs, the associated values are those provisioned along with the key.
For PSKs established via a NewSessionTicket message, the associated
values are those negotiated in the connection during which the ticket
was established.
Future extensions MUST define their interaction with 0-RTT.
Rescorla Standards Track [Page 54]
^L
RFC 8446 TLS August 2018
If any of these checks fail, the server MUST NOT respond with the
extension and must discard all the first-flight data using one of the
first two mechanisms listed above (thus falling back to 1-RTT or
2-RTT). If the client attempts a 0-RTT handshake but the server
rejects it, the server will generally not have the 0-RTT record
protection keys and must instead use trial decryption (either with
the 1-RTT handshake keys or by looking for a cleartext ClientHello in
the case of a HelloRetryRequest) to find the first non-0-RTT message.
If the server chooses to accept the "early_data" extension, then it
MUST comply with the same error-handling requirements specified for
all records when processing early data records. Specifically, if the
server fails to decrypt a 0-RTT record following an accepted
"early_data" extension, it MUST terminate the connection with a
"bad_record_mac" alert as per Section 5.2.
If the server rejects the "early_data" extension, the client
application MAY opt to retransmit the Application Data previously
sent in early data once the handshake has been completed. Note that
automatic retransmission of early data could result in incorrect
assumptions regarding the status of the connection. For instance,
when the negotiated connection selects a different ALPN protocol from
what was used for the early data, an application might need to
construct different messages. Similarly, if early data assumes
anything about the connection state, it might be sent in error after
the handshake completes.
A TLS implementation SHOULD NOT automatically resend early data;
applications are in a better position to decide when retransmission
is appropriate. A TLS implementation MUST NOT automatically resend
early data unless the negotiated connection selects the same ALPN
protocol.
4.2.11. Pre-Shared Key Extension
The "pre_shared_key" extension is used to negotiate the identity of
the pre-shared key to be used with a given handshake in association
with PSK key establishment.
Rescorla Standards Track [Page 55]
^L
RFC 8446 TLS August 2018
The "extension_data" field of this extension contains a
"PreSharedKeyExtension" value:
struct {
opaque identity<1..2^16-1>;
uint32 obfuscated_ticket_age;
} PskIdentity;
opaque PskBinderEntry<32..255>;
struct {
PskIdentity identities<7..2^16-1>;
PskBinderEntry binders<33..2^16-1>;
} OfferedPsks;
struct {
select (Handshake.msg_type) {
case client_hello: OfferedPsks;
case server_hello: uint16 selected_identity;
};
} PreSharedKeyExtension;
identity: A label for a key. For instance, a ticket (as defined in
Appendix B.3.4) or a label for a pre-shared key established
externally.
obfuscated_ticket_age: An obfuscated version of the age of the key.
Section 4.2.11.1 describes how to form this value for identities
established via the NewSessionTicket message. For identities
established externally, an obfuscated_ticket_age of 0 SHOULD be
used, and servers MUST ignore the value.
identities: A list of the identities that the client is willing to
negotiate with the server. If sent alongside the "early_data"
extension (see Section 4.2.10), the first identity is the one used
for 0-RTT data.
binders: A series of HMAC values, one for each value in the
identities list and in the same order, computed as described
below.
selected_identity: The server's chosen identity expressed as a
(0-based) index into the identities in the client's list.
Each PSK is associated with a single Hash algorithm. For PSKs
established via the ticket mechanism (Section 4.6.1), this is the KDF
Hash algorithm on the connection where the ticket was established.
For externally established PSKs, the Hash algorithm MUST be set when
Rescorla Standards Track [Page 56]
^L
RFC 8446 TLS August 2018
the PSK is established or default to SHA-256 if no such algorithm is
defined. The server MUST ensure that it selects a compatible PSK
(if any) and cipher suite.
In TLS versions prior to TLS 1.3, the Server Name Identification
(SNI) value was intended to be associated with the session (Section 3
of [RFC6066]), with the server being required to enforce that the SNI
value associated with the session matches the one specified in the
resumption handshake. However, in reality the implementations were
not consistent on which of two supplied SNI values they would use,
leading to the consistency requirement being de facto enforced by the
clients. In TLS 1.3, the SNI value is always explicitly specified in
the resumption handshake, and there is no need for the server to
associate an SNI value with the ticket. Clients, however, SHOULD
store the SNI with the PSK to fulfill the requirements of
Section 4.6.1.
Implementor's note: When session resumption is the primary use case
of PSKs, the most straightforward way to implement the PSK/cipher
suite matching requirements is to negotiate the cipher suite first
and then exclude any incompatible PSKs. Any unknown PSKs (e.g., ones
not in the PSK database or encrypted with an unknown key) SHOULD
simply be ignored. If no acceptable PSKs are found, the server
SHOULD perform a non-PSK handshake if possible. If backward
compatibility is important, client-provided, externally established
PSKs SHOULD influence cipher suite selection.
Prior to accepting PSK key establishment, the server MUST validate
the corresponding binder value (see Section 4.2.11.2 below). If this
value is not present or does not validate, the server MUST abort the
handshake. Servers SHOULD NOT attempt to validate multiple binders;
rather, they SHOULD select a single PSK and validate solely the
binder that corresponds to that PSK. See Section 8.2 and
Appendix E.6 for the security rationale for this requirement. In
order to accept PSK key establishment, the server sends a
"pre_shared_key" extension indicating the selected identity.
Clients MUST verify that the server's selected_identity is within the
range supplied by the client, that the server selected a cipher suite
indicating a Hash associated with the PSK, and that a server
"key_share" extension is present if required by the ClientHello
"psk_key_exchange_modes" extension. If these values are not
consistent, the client MUST abort the handshake with an
"illegal_parameter" alert.
Rescorla Standards Track [Page 57]
^L
RFC 8446 TLS August 2018
If the server supplies an "early_data" extension, the client MUST
verify that the server's selected_identity is 0. If any other value
is returned, the client MUST abort the handshake with an
"illegal_parameter" alert.
The "pre_shared_key" extension MUST be the last extension in the
ClientHello (this facilitates implementation as described below).
Servers MUST check that it is the last extension and otherwise fail
the handshake with an "illegal_parameter" alert.
4.2.11.1. Ticket Age
The client's view of the age of a ticket is the time since the
receipt of the NewSessionTicket message. Clients MUST NOT attempt to
use tickets which have ages greater than the "ticket_lifetime" value
which was provided with the ticket. The "obfuscated_ticket_age"
field of each PskIdentity contains an obfuscated version of the
ticket age formed by taking the age in milliseconds and adding the
"ticket_age_add" value that was included with the ticket (see
Section 4.6.1), modulo 2^32. This addition prevents passive
observers from correlating connections unless tickets are reused.
Note that the "ticket_lifetime" field in the NewSessionTicket message
is in seconds but the "obfuscated_ticket_age" is in milliseconds.
Because ticket lifetimes are restricted to a week, 32 bits is enough
to represent any plausible age, even in milliseconds.
4.2.11.2. PSK Binder
The PSK binder value forms a binding between a PSK and the current
handshake, as well as a binding between the handshake in which the
PSK was generated (if via a NewSessionTicket message) and the current
handshake. Each entry in the binders list is computed as an HMAC
over a transcript hash (see Section 4.4.1) containing a partial
ClientHello up to and including the PreSharedKeyExtension.identities
field. That is, it includes all of the ClientHello but not the
binders list itself. The length fields for the message (including
the overall length, the length of the extensions block, and the
length of the "pre_shared_key" extension) are all set as if binders
of the correct lengths were present.
The PskBinderEntry is computed in the same way as the Finished
message (Section 4.4.4) but with the BaseKey being the binder_key
derived via the key schedule from the corresponding PSK which is
being offered (see Section 7.1).
Rescorla Standards Track [Page 58]
^L
RFC 8446 TLS August 2018
If the handshake includes a HelloRetryRequest, the initial
ClientHello and HelloRetryRequest are included in the transcript
along with the new ClientHello. For instance, if the client sends
ClientHello1, its binder will be computed over:
Transcript-Hash(Truncate(ClientHello1))
Where Truncate() removes the binders list from the ClientHello.
If the server responds with a HelloRetryRequest and the client then
sends ClientHello2, its binder will be computed over:
Transcript-Hash(ClientHello1,
HelloRetryRequest,
Truncate(ClientHello2))
The full ClientHello1/ClientHello2 is included in all other handshake
hash computations. Note that in the first flight,
Truncate(ClientHello1) is hashed directly, but in the second flight,
ClientHello1 is hashed and then reinjected as a "message_hash"
message, as described in Section 4.4.1.
4.2.11.3. Processing Order
Clients are permitted to "stream" 0-RTT data until they receive the
server's Finished, only then sending the EndOfEarlyData message,
followed by the rest of the handshake. In order to avoid deadlocks,
when accepting "early_data", servers MUST process the client's
ClientHello and then immediately send their flight of messages,
rather than waiting for the client's EndOfEarlyData message before
sending its ServerHello.
4.3. Server Parameters
The next two messages from the server, EncryptedExtensions and
CertificateRequest, contain information from the server that
determines the rest of the handshake. These messages are encrypted
with keys derived from the server_handshake_traffic_secret.
Rescorla Standards Track [Page 59]
^L
RFC 8446 TLS August 2018
4.3.1. Encrypted Extensions
In all handshakes, the server MUST send the EncryptedExtensions
message immediately after the ServerHello message. This is the first
message that is encrypted under keys derived from the
server_handshake_traffic_secret.
The EncryptedExtensions message contains extensions that can be
protected, i.e., any which are not needed to establish the
cryptographic context but which are not associated with individual
certificates. The client MUST check EncryptedExtensions for the
presence of any forbidden extensions and if any are found MUST abort
the handshake with an "illegal_parameter" alert.
Structure of this message:
struct {
Extension extensions<0..2^16-1>;
} EncryptedExtensions;
extensions: A list of extensions. For more information, see the
table in Section 4.2.
4.3.2. Certificate Request
A server which is authenticating with a certificate MAY optionally
request a certificate from the client. This message, if sent, MUST
follow EncryptedExtensions.
Structure of this message:
struct {
opaque certificate_request_context<0..2^8-1>;
Extension extensions<2..2^16-1>;
} CertificateRequest;
Rescorla Standards Track [Page 60]
^L
RFC 8446 TLS August 2018
certificate_request_context: An opaque string which identifies the
certificate request and which will be echoed in the client's
Certificate message. The certificate_request_context MUST be
unique within the scope of this connection (thus preventing replay
of client CertificateVerify messages). This field SHALL be zero
length unless used for the post-handshake authentication exchanges
described in Section 4.6.2. When requesting post-handshake
authentication, the server SHOULD make the context unpredictable
to the client (e.g., by randomly generating it) in order to
prevent an attacker who has temporary access to the client's
private key from pre-computing valid CertificateVerify messages.
extensions: A set of extensions describing the parameters of the
certificate being requested. The "signature_algorithms" extension
MUST be specified, and other extensions may optionally be included
if defined for this message. Clients MUST ignore unrecognized
extensions.
In prior versions of TLS, the CertificateRequest message carried a
list of signature algorithms and certificate authorities which the
server would accept. In TLS 1.3, the former is expressed by sending
the "signature_algorithms" and optionally "signature_algorithms_cert"
extensions. The latter is expressed by sending the
"certificate_authorities" extension (see Section 4.2.4).
Servers which are authenticating with a PSK MUST NOT send the
CertificateRequest message in the main handshake, though they MAY
send it in post-handshake authentication (see Section 4.6.2) provided
that the client has sent the "post_handshake_auth" extension (see
Section 4.2.6).
4.4. Authentication Messages
As discussed in Section 2, TLS generally uses a common set of
messages for authentication, key confirmation, and handshake
integrity: Certificate, CertificateVerify, and Finished. (The PSK
binders also perform key confirmation, in a similar fashion.) These
three messages are always sent as the last messages in their
handshake flight. The Certificate and CertificateVerify messages are
only sent under certain circumstances, as defined below. The
Finished message is always sent as part of the Authentication Block.
These messages are encrypted under keys derived from the
[sender]_handshake_traffic_secret.
Rescorla Standards Track [Page 61]
^L
RFC 8446 TLS August 2018
The computations for the Authentication messages all uniformly take
the following inputs:
- The certificate and signing key to be used.
- A Handshake Context consisting of the set of messages to be
included in the transcript hash.
- A Base Key to be used to compute a MAC key.
Based on these inputs, the messages then contain:
Certificate: The certificate to be used for authentication, and any
supporting certificates in the chain. Note that certificate-based
client authentication is not available in PSK handshake flows
(including 0-RTT).
CertificateVerify: A signature over the value
Transcript-Hash(Handshake Context, Certificate).
Finished: A MAC over the value Transcript-Hash(Handshake Context,
Certificate, CertificateVerify) using a MAC key derived from the
Base Key.
The following table defines the Handshake Context and MAC Base Key
for each scenario:
+-----------+-------------------------+-----------------------------+
| Mode | Handshake Context | Base Key |
+-----------+-------------------------+-----------------------------+
| Server | ClientHello ... later | server_handshake_traffic_ |
| | of EncryptedExtensions/ | secret |
| | CertificateRequest | |
| | | |
| Client | ClientHello ... later | client_handshake_traffic_ |
| | of server | secret |
| | Finished/EndOfEarlyData | |
| | | |
| Post- | ClientHello ... client | client_application_traffic_ |
| Handshake | Finished + | secret_N |
| | CertificateRequest | |
+-----------+-------------------------+-----------------------------+
Rescorla Standards Track [Page 62]
^L
RFC 8446 TLS August 2018
4.4.1. The Transcript Hash
Many of the cryptographic computations in TLS make use of a
transcript hash. This value is computed by hashing the concatenation
of each included handshake message, including the handshake message
header carrying the handshake message type and length fields, but not
including record layer headers. I.e.,
Transcript-Hash(M1, M2, ... Mn) = Hash(M1 || M2 || ... || Mn)
As an exception to this general rule, when the server responds to a
ClientHello with a HelloRetryRequest, the value of ClientHello1 is
replaced with a special synthetic handshake message of handshake type
"message_hash" containing Hash(ClientHello1). I.e.,
Transcript-Hash(ClientHello1, HelloRetryRequest, ... Mn) =
Hash(message_hash || /* Handshake type */
00 00 Hash.length || /* Handshake message length (bytes) */
Hash(ClientHello1) || /* Hash of ClientHello1 */
HelloRetryRequest || ... || Mn)
The reason for this construction is to allow the server to do a
stateless HelloRetryRequest by storing just the hash of ClientHello1
in the cookie, rather than requiring it to export the entire
intermediate hash state (see Section 4.2.2).
For concreteness, the transcript hash is always taken from the
following sequence of handshake messages, starting at the first
ClientHello and including only those messages that were sent:
ClientHello, HelloRetryRequest, ClientHello, ServerHello,
EncryptedExtensions, server CertificateRequest, server Certificate,
server CertificateVerify, server Finished, EndOfEarlyData, client
Certificate, client CertificateVerify, client Finished.
In general, implementations can implement the transcript by keeping a
running transcript hash value based on the negotiated hash. Note,
however, that subsequent post-handshake authentications do not
include each other, just the messages through the end of the main
handshake.
Rescorla Standards Track [Page 63]
^L
RFC 8446 TLS August 2018
4.4.2. Certificate
This message conveys the endpoint's certificate chain to the peer.
The server MUST send a Certificate message whenever the agreed-upon
key exchange method uses certificates for authentication (this
includes all key exchange methods defined in this document
except PSK).
The client MUST send a Certificate message if and only if the server
has requested client authentication via a CertificateRequest message
(Section 4.3.2). If the server requests client authentication but no
suitable certificate is available, the client MUST send a Certificate
message containing no certificates (i.e., with the "certificate_list"
field having length 0). A Finished message MUST be sent regardless
of whether the Certificate message is empty.
Structure of this message:
enum {
X509(0),
RawPublicKey(2),
(255)
} CertificateType;
struct {
select (certificate_type) {
case RawPublicKey:
/* From RFC 7250 ASN.1_subjectPublicKeyInfo */
opaque ASN1_subjectPublicKeyInfo<1..2^24-1>;
case X509:
opaque cert_data<1..2^24-1>;
};
Extension extensions<0..2^16-1>;
} CertificateEntry;
struct {
opaque certificate_request_context<0..2^8-1>;
CertificateEntry certificate_list<0..2^24-1>;
} Certificate;
Rescorla Standards Track [Page 64]
^L
RFC 8446 TLS August 2018
certificate_request_context: If this message is in response to a
CertificateRequest, the value of certificate_request_context in
that message. Otherwise (in the case of server authentication),
this field SHALL be zero length.
certificate_list: A sequence (chain) of CertificateEntry structures,
each containing a single certificate and set of extensions.
extensions: A set of extension values for the CertificateEntry. The
"Extension" format is defined in Section 4.2. Valid extensions
for server certificates at present include the OCSP Status
extension [RFC6066] and the SignedCertificateTimestamp extension
[RFC6962]; future extensions may be defined for this message as
well. Extensions in the Certificate message from the server MUST
correspond to ones from the ClientHello message. Extensions in
the Certificate message from the client MUST correspond to
extensions in the CertificateRequest message from the server. If
an extension applies to the entire chain, it SHOULD be included in
the first CertificateEntry.
If the corresponding certificate type extension
("server_certificate_type" or "client_certificate_type") was not
negotiated in EncryptedExtensions, or the X.509 certificate type was
negotiated, then each CertificateEntry contains a DER-encoded X.509
certificate. The sender's certificate MUST come in the first
CertificateEntry in the list. Each following certificate SHOULD
directly certify the one immediately preceding it. Because
certificate validation requires that trust anchors be distributed
independently, a certificate that specifies a trust anchor MAY be
omitted from the chain, provided that supported peers are known to
possess any omitted certificates.
Note: Prior to TLS 1.3, "certificate_list" ordering required each
certificate to certify the one immediately preceding it; however,
some implementations allowed some flexibility. Servers sometimes
send both a current and deprecated intermediate for transitional
purposes, and others are simply configured incorrectly, but these
cases can nonetheless be validated properly. For maximum
compatibility, all implementations SHOULD be prepared to handle
potentially extraneous certificates and arbitrary orderings from any
TLS version, with the exception of the end-entity certificate which
MUST be first.
If the RawPublicKey certificate type was negotiated, then the
certificate_list MUST contain no more than one CertificateEntry,
which contains an ASN1_subjectPublicKeyInfo value as defined in
[RFC7250], Section 3.
Rescorla Standards Track [Page 65]
^L
RFC 8446 TLS August 2018
The OpenPGP certificate type [RFC6091] MUST NOT be used with TLS 1.3.
The server's certificate_list MUST always be non-empty. A client
will send an empty certificate_list if it does not have an
appropriate certificate to send in response to the server's
authentication request.
4.4.2.1. OCSP Status and SCT Extensions
[RFC6066] and [RFC6961] provide extensions to negotiate the server
sending OCSP responses to the client. In TLS 1.2 and below, the
server replies with an empty extension to indicate negotiation of
this extension and the OCSP information is carried in a
CertificateStatus message. In TLS 1.3, the server's OCSP information
is carried in an extension in the CertificateEntry containing the
associated certificate. Specifically, the body of the
"status_request" extension from the server MUST be a
CertificateStatus structure as defined in [RFC6066], which is
interpreted as defined in [RFC6960].
Note: The status_request_v2 extension [RFC6961] is deprecated.
TLS 1.3 servers MUST NOT act upon its presence or information in it
when processing ClientHello messages; in particular, they MUST NOT
send the status_request_v2 extension in the EncryptedExtensions,
CertificateRequest, or Certificate messages. TLS 1.3 servers MUST be
able to process ClientHello messages that include it, as it MAY be
sent by clients that wish to use it in earlier protocol versions.
A server MAY request that a client present an OCSP response with its
certificate by sending an empty "status_request" extension in its
CertificateRequest message. If the client opts to send an OCSP
response, the body of its "status_request" extension MUST be a
CertificateStatus structure as defined in [RFC6066].
Similarly, [RFC6962] provides a mechanism for a server to send a
Signed Certificate Timestamp (SCT) as an extension in the ServerHello
in TLS 1.2 and below. In TLS 1.3, the server's SCT information is
carried in an extension in the CertificateEntry.
Rescorla Standards Track [Page 66]
^L
RFC 8446 TLS August 2018
4.4.2.2. Server Certificate Selection
The following rules apply to the certificates sent by the server:
- The certificate type MUST be X.509v3 [RFC5280], unless explicitly
negotiated otherwise (e.g., [RFC7250]).
- The server's end-entity certificate's public key (and associated
restrictions) MUST be compatible with the selected authentication
algorithm from the client's "signature_algorithms" extension
(currently RSA, ECDSA, or EdDSA).
- The certificate MUST allow the key to be used for signing (i.e.,
the digitalSignature bit MUST be set if the Key Usage extension is
present) with a signature scheme indicated in the client's
"signature_algorithms"/"signature_algorithms_cert" extensions (see
Section 4.2.3).
- The "server_name" [RFC6066] and "certificate_authorities"
extensions are used to guide certificate selection. As servers
MAY require the presence of the "server_name" extension, clients
SHOULD send this extension, when applicable.
All certificates provided by the server MUST be signed by a signature
algorithm advertised by the client if it is able to provide such a
chain (see Section 4.2.3). Certificates that are self-signed or
certificates that are expected to be trust anchors are not validated
as part of the chain and therefore MAY be signed with any algorithm.
If the server cannot produce a certificate chain that is signed only
via the indicated supported algorithms, then it SHOULD continue the
handshake by sending the client a certificate chain of its choice
that may include algorithms that are not known to be supported by the
client. This fallback chain SHOULD NOT use the deprecated SHA-1 hash
algorithm in general, but MAY do so if the client's advertisement
permits it, and MUST NOT do so otherwise.
If the client cannot construct an acceptable chain using the provided
certificates and decides to abort the handshake, then it MUST abort
the handshake with an appropriate certificate-related alert (by
default, "unsupported_certificate"; see Section 6.2 for more
information).
If the server has multiple certificates, it chooses one of them based
on the above-mentioned criteria (in addition to other criteria, such
as transport-layer endpoint, local configuration, and preferences).
Rescorla Standards Track [Page 67]
^L
RFC 8446 TLS August 2018
4.4.2.3. Client Certificate Selection
The following rules apply to certificates sent by the client:
- The certificate type MUST be X.509v3 [RFC5280], unless explicitly
negotiated otherwise (e.g., [RFC7250]).
- If the "certificate_authorities" extension in the
CertificateRequest message was present, at least one of the
certificates in the certificate chain SHOULD be issued by one of
the listed CAs.
- The certificates MUST be signed using an acceptable signature
algorithm, as described in Section 4.3.2. Note that this relaxes
the constraints on certificate-signing algorithms found in prior
versions of TLS.
- If the CertificateRequest message contained a non-empty
"oid_filters" extension, the end-entity certificate MUST match the
extension OIDs that are recognized by the client, as described in
Section 4.2.5.
4.4.2.4. Receiving a Certificate Message
In general, detailed certificate validation procedures are out of
scope for TLS (see [RFC5280]). This section provides TLS-specific
requirements.
If the server supplies an empty Certificate message, the client MUST
abort the handshake with a "decode_error" alert.
If the client does not send any certificates (i.e., it sends an empty
Certificate message), the server MAY at its discretion either
continue the handshake without client authentication or abort the
handshake with a "certificate_required" alert. Also, if some aspect
of the certificate chain was unacceptable (e.g., it was not signed by
a known, trusted CA), the server MAY at its discretion either
continue the handshake (considering the client unauthenticated) or
abort the handshake.
Any endpoint receiving any certificate which it would need to
validate using any signature algorithm using an MD5 hash MUST abort
the handshake with a "bad_certificate" alert. SHA-1 is deprecated,
and it is RECOMMENDED that any endpoint receiving any certificate
which it would need to validate using any signature algorithm using a
SHA-1 hash abort the handshake with a "bad_certificate" alert. For
clarity, this means that endpoints can accept these algorithms for
certificates that are self-signed or are trust anchors.
Rescorla Standards Track [Page 68]
^L
RFC 8446 TLS August 2018
All endpoints are RECOMMENDED to transition to SHA-256 or better as
soon as possible to maintain interoperability with implementations
currently in the process of phasing out SHA-1 support.
Note that a certificate containing a key for one signature algorithm
MAY be signed using a different signature algorithm (for instance, an
RSA key signed with an ECDSA key).
4.4.3. Certificate Verify
This message is used to provide explicit proof that an endpoint
possesses the private key corresponding to its certificate. The
CertificateVerify message also provides integrity for the handshake
up to this point. Servers MUST send this message when authenticating
via a certificate. Clients MUST send this message whenever
authenticating via a certificate (i.e., when the Certificate message
is non-empty). When sent, this message MUST appear immediately after
the Certificate message and immediately prior to the Finished
message.
Structure of this message:
struct {
SignatureScheme algorithm;
opaque signature<0..2^16-1>;
} CertificateVerify;
The algorithm field specifies the signature algorithm used (see
Section 4.2.3 for the definition of this type). The signature is a
digital signature using that algorithm. The content that is covered
under the signature is the hash output as described in Section 4.4.1,
namely:
Transcript-Hash(Handshake Context, Certificate)
The digital signature is then computed over the concatenation of:
- A string that consists of octet 32 (0x20) repeated 64 times
- The context string
- A single 0 byte which serves as the separator
- The content to be signed
Rescorla Standards Track [Page 69]
^L
RFC 8446 TLS August 2018
This structure is intended to prevent an attack on previous versions
of TLS in which the ServerKeyExchange format meant that attackers
could obtain a signature of a message with a chosen 32-byte prefix
(ClientHello.random). The initial 64-byte pad clears that prefix
along with the server-controlled ServerHello.random.
The context string for a server signature is
"TLS 1.3, server CertificateVerify". The context string for a
client signature is "TLS 1.3, client CertificateVerify". It is
used to provide separation between signatures made in different
contexts, helping against potential cross-protocol attacks.
For example, if the transcript hash was 32 bytes of 01 (this length
would make sense for SHA-256), the content covered by the digital
signature for a server CertificateVerify would be:
2020202020202020202020202020202020202020202020202020202020202020
2020202020202020202020202020202020202020202020202020202020202020
544c5320312e332c207365727665722043657274696669636174655665726966
79
00
0101010101010101010101010101010101010101010101010101010101010101
On the sender side, the process for computing the signature field of
the CertificateVerify message takes as input:
- The content covered by the digital signature
- The private signing key corresponding to the certificate sent in
the previous message
If the CertificateVerify message is sent by a server, the signature
algorithm MUST be one offered in the client's "signature_algorithms"
extension unless no valid certificate chain can be produced without
unsupported algorithms (see Section 4.2.3).
If sent by a client, the signature algorithm used in the signature
MUST be one of those present in the supported_signature_algorithms
field of the "signature_algorithms" extension in the
CertificateRequest message.
In addition, the signature algorithm MUST be compatible with the key
in the sender's end-entity certificate. RSA signatures MUST use an
RSASSA-PSS algorithm, regardless of whether RSASSA-PKCS1-v1_5
algorithms appear in "signature_algorithms". The SHA-1 algorithm
MUST NOT be used in any signatures of CertificateVerify messages.
Rescorla Standards Track [Page 70]
^L
RFC 8446 TLS August 2018
All SHA-1 signature algorithms in this specification are defined
solely for use in legacy certificates and are not valid for
CertificateVerify signatures.
The receiver of a CertificateVerify message MUST verify the signature
field. The verification process takes as input:
- The content covered by the digital signature
- The public key contained in the end-entity certificate found in
the associated Certificate message
- The digital signature received in the signature field of the
CertificateVerify message
If the verification fails, the receiver MUST terminate the handshake
with a "decrypt_error" alert.
4.4.4. Finished
The Finished message is the final message in the Authentication
Block. It is essential for providing authentication of the handshake
and of the computed keys.
Recipients of Finished messages MUST verify that the contents are
correct and if incorrect MUST terminate the connection with a
"decrypt_error" alert.
Once a side has sent its Finished message and has received and
validated the Finished message from its peer, it may begin to send
and receive Application Data over the connection. There are two
settings in which it is permitted to send data prior to receiving the
peer's Finished:
1. Clients sending 0-RTT data as described in Section 4.2.10.
2. Servers MAY send data after sending their first flight, but
because the handshake is not yet complete, they have no assurance
of either the peer's identity or its liveness (i.e., the
ClientHello might have been replayed).
Rescorla Standards Track [Page 71]
^L
RFC 8446 TLS August 2018
The key used to compute the Finished message is computed from the
Base Key defined in Section 4.4 using HKDF (see Section 7.1).
Specifically:
finished_key =
HKDF-Expand-Label(BaseKey, "finished", "", Hash.length)
Structure of this message:
struct {
opaque verify_data[Hash.length];
} Finished;
The verify_data value is computed as follows:
verify_data =
HMAC(finished_key,
Transcript-Hash(Handshake Context,
Certificate*, CertificateVerify*))
* Only included if present.
HMAC [RFC2104] uses the Hash algorithm for the handshake. As noted
above, the HMAC input can generally be implemented by a running hash,
i.e., just the handshake hash at this point.
In previous versions of TLS, the verify_data was always 12 octets
long. In TLS 1.3, it is the size of the HMAC output for the Hash
used for the handshake.
Note: Alerts and any other non-handshake record types are not
handshake messages and are not included in the hash computations.
Any records following a Finished message MUST be encrypted under the
appropriate application traffic key as described in Section 7.2. In
particular, this includes any alerts sent by the server in response
to client Certificate and CertificateVerify messages.
4.5. End of Early Data
struct {} EndOfEarlyData;
If the server sent an "early_data" extension in EncryptedExtensions,
the client MUST send an EndOfEarlyData message after receiving the
server Finished. If the server does not send an "early_data"
extension in EncryptedExtensions, then the client MUST NOT send an
EndOfEarlyData message. This message indicates that all 0-RTT
application_data messages, if any, have been transmitted and that the
Rescorla Standards Track [Page 72]
^L
RFC 8446 TLS August 2018
following records are protected under handshake traffic keys.
Servers MUST NOT send this message, and clients receiving it MUST
terminate the connection with an "unexpected_message" alert. This
message is encrypted under keys derived from the
client_early_traffic_secret.
4.6. Post-Handshake Messages
TLS also allows other messages to be sent after the main handshake.
These messages use a handshake content type and are encrypted under
the appropriate application traffic key.
4.6.1. New Session Ticket Message
At any time after the server has received the client Finished
message, it MAY send a NewSessionTicket message. This message
creates a unique association between the ticket value and a secret
PSK derived from the resumption master secret (see Section 7).
The client MAY use this PSK for future handshakes by including the
ticket value in the "pre_shared_key" extension in its ClientHello
(Section 4.2.11). Servers MAY send multiple tickets on a single
connection, either immediately after each other or after specific
events (see Appendix C.4). For instance, the server might send a new
ticket after post-handshake authentication in order to encapsulate
the additional client authentication state. Multiple tickets are
useful for clients for a variety of purposes, including:
- Opening multiple parallel HTTP connections.
- Performing connection racing across interfaces and address
families via (for example) Happy Eyeballs [RFC8305] or related
techniques.
Any ticket MUST only be resumed with a cipher suite that has the same
KDF hash algorithm as that used to establish the original connection.
Clients MUST only resume if the new SNI value is valid for the server
certificate presented in the original session and SHOULD only resume
if the SNI value matches the one used in the original session. The
latter is a performance optimization: normally, there is no reason to
expect that different servers covered by a single certificate would
be able to accept each other's tickets; hence, attempting resumption
in that case would waste a single-use ticket. If such an indication
is provided (externally or by any other means), clients MAY resume
with a different SNI value.
Rescorla Standards Track [Page 73]
^L
RFC 8446 TLS August 2018
On resumption, if reporting an SNI value to the calling application,
implementations MUST use the value sent in the resumption ClientHello
rather than the value sent in the previous session. Note that if a
server implementation declines all PSK identities with different SNI
values, these two values are always the same.
Note: Although the resumption master secret depends on the client's
second flight, a server which does not request client authentication
MAY compute the remainder of the transcript independently and then
send a NewSessionTicket immediately upon sending its Finished rather
than waiting for the client Finished. This might be appropriate in
cases where the client is expected to open multiple TLS connections
in parallel and would benefit from the reduced overhead of a
resumption handshake, for example.
struct {
uint32 ticket_lifetime;
uint32 ticket_age_add;
opaque ticket_nonce<0..255>;
opaque ticket<1..2^16-1>;
Extension extensions<0..2^16-2>;
} NewSessionTicket;
ticket_lifetime: Indicates the lifetime in seconds as a 32-bit
unsigned integer in network byte order from the time of ticket
issuance. Servers MUST NOT use any value greater than
604800 seconds (7 days). The value of zero indicates that the
ticket should be discarded immediately. Clients MUST NOT cache
tickets for longer than 7 days, regardless of the ticket_lifetime,
and MAY delete tickets earlier based on local policy. A server
MAY treat a ticket as valid for a shorter period of time than what
is stated in the ticket_lifetime.
ticket_age_add: A securely generated, random 32-bit value that is
used to obscure the age of the ticket that the client includes in
the "pre_shared_key" extension. The client-side ticket age is
added to this value modulo 2^32 to obtain the value that is
transmitted by the client. The server MUST generate a fresh value
for each ticket it sends.
ticket_nonce: A per-ticket value that is unique across all tickets
issued on this connection.
Rescorla Standards Track [Page 74]
^L
RFC 8446 TLS August 2018
ticket: The value of the ticket to be used as the PSK identity. The
ticket itself is an opaque label. It MAY be either a database
lookup key or a self-encrypted and self-authenticated value.
extensions: A set of extension values for the ticket. The
"Extension" format is defined in Section 4.2. Clients MUST ignore
unrecognized extensions.
The sole extension currently defined for NewSessionTicket is
"early_data", indicating that the ticket may be used to send 0-RTT
data (Section 4.2.10). It contains the following value:
max_early_data_size: The maximum amount of 0-RTT data that the
client is allowed to send when using this ticket, in bytes. Only
Application Data payload (i.e., plaintext but not padding or the
inner content type byte) is counted. A server receiving more than
max_early_data_size bytes of 0-RTT data SHOULD terminate the
connection with an "unexpected_message" alert. Note that servers
that reject early data due to lack of cryptographic material will
be unable to differentiate padding from content, so clients
SHOULD NOT depend on being able to send large quantities of
padding in early data records.
The PSK associated with the ticket is computed as:
HKDF-Expand-Label(resumption_master_secret,
"resumption", ticket_nonce, Hash.length)
Because the ticket_nonce value is distinct for each NewSessionTicket
message, a different PSK will be derived for each ticket.
Note that in principle it is possible to continue issuing new tickets
which indefinitely extend the lifetime of the keying material
originally derived from an initial non-PSK handshake (which was most
likely tied to the peer's certificate). It is RECOMMENDED that
implementations place limits on the total lifetime of such keying
material; these limits should take into account the lifetime of the
peer's certificate, the likelihood of intervening revocation, and the
time since the peer's online CertificateVerify signature.
4.6.2. Post-Handshake Authentication
When the client has sent the "post_handshake_auth" extension (see
Section 4.2.6), a server MAY request client authentication at any
time after the handshake has completed by sending a
CertificateRequest message. The client MUST respond with the
appropriate Authentication messages (see Section 4.4). If the client
chooses to authenticate, it MUST send Certificate, CertificateVerify,
Rescorla Standards Track [Page 75]
^L
RFC 8446 TLS August 2018
and Finished. If it declines, it MUST send a Certificate message
containing no certificates followed by Finished. All of the client's
messages for a given response MUST appear consecutively on the wire
with no intervening messages of other types.
A client that receives a CertificateRequest message without having
sent the "post_handshake_auth" extension MUST send an
"unexpected_message" fatal alert.
Note: Because client authentication could involve prompting the user,
servers MUST be prepared for some delay, including receiving an
arbitrary number of other messages between sending the
CertificateRequest and receiving a response. In addition, clients
which receive multiple CertificateRequests in close succession MAY
respond to them in a different order than they were received (the
certificate_request_context value allows the server to disambiguate
the responses).
4.6.3. Key and Initialization Vector Update
The KeyUpdate handshake message is used to indicate that the sender
is updating its sending cryptographic keys. This message can be sent
by either peer after it has sent a Finished message. Implementations
that receive a KeyUpdate message prior to receiving a Finished
message MUST terminate the connection with an "unexpected_message"
alert. After sending a KeyUpdate message, the sender SHALL send all
its traffic using the next generation of keys, computed as described
in Section 7.2. Upon receiving a KeyUpdate, the receiver MUST update
its receiving keys.
enum {
update_not_requested(0), update_requested(1), (255)
} KeyUpdateRequest;
struct {
KeyUpdateRequest request_update;
} KeyUpdate;
request_update: Indicates whether the recipient of the KeyUpdate
should respond with its own KeyUpdate. If an implementation
receives any other value, it MUST terminate the connection with an
"illegal_parameter" alert.
If the request_update field is set to "update_requested", then the
receiver MUST send a KeyUpdate of its own with request_update set to
"update_not_requested" prior to sending its next Application Data
record. This mechanism allows either side to force an update to the
entire connection, but causes an implementation which receives
Rescorla Standards Track [Page 76]
^L
RFC 8446 TLS August 2018
multiple KeyUpdates while it is silent to respond with a single
update. Note that implementations may receive an arbitrary number of
messages between sending a KeyUpdate with request_update set to
"update_requested" and receiving the peer's KeyUpdate, because those
messages may already be in flight. However, because send and receive
keys are derived from independent traffic secrets, retaining the
receive traffic secret does not threaten the forward secrecy of data
sent before the sender changed keys.
If implementations independently send their own KeyUpdates with
request_update set to "update_requested" and they cross in flight,
then each side will also send a response, with the result that each
side increments by two generations.
Both sender and receiver MUST encrypt their KeyUpdate messages with
the old keys. Additionally, both sides MUST enforce that a KeyUpdate
with the old key is received before accepting any messages encrypted
with the new key. Failure to do so may allow message truncation
attacks.
5. Record Protocol
The TLS record protocol takes messages to be transmitted, fragments
the data into manageable blocks, protects the records, and transmits
the result. Received data is verified, decrypted, reassembled, and
then delivered to higher-level clients.
TLS records are typed, which allows multiple higher-level protocols
to be multiplexed over the same record layer. This document
specifies four content types: handshake, application_data, alert, and
change_cipher_spec. The change_cipher_spec record is used only for
compatibility purposes (see Appendix D.4).
An implementation may receive an unencrypted record of type
change_cipher_spec consisting of the single byte value 0x01 at any
time after the first ClientHello message has been sent or received
and before the peer's Finished message has been received and MUST
simply drop it without further processing. Note that this record may
appear at a point at the handshake where the implementation is
expecting protected records, and so it is necessary to detect this
condition prior to attempting to deprotect the record. An
implementation which receives any other change_cipher_spec value or
which receives a protected change_cipher_spec record MUST abort the
handshake with an "unexpected_message" alert. If an implementation
detects a change_cipher_spec record received before the first
ClientHello message or after the peer's Finished message, it MUST be
treated as an unexpected record type (though stateless servers may
not be able to distinguish these cases from allowed cases).
Rescorla Standards Track [Page 77]
^L
RFC 8446 TLS August 2018
Implementations MUST NOT send record types not defined in this
document unless negotiated by some extension. If a TLS
implementation receives an unexpected record type, it MUST terminate
the connection with an "unexpected_message" alert. New record
content type values are assigned by IANA in the TLS ContentType
registry as described in Section 11.
5.1. Record Layer
The record layer fragments information blocks into TLSPlaintext
records carrying data in chunks of 2^14 bytes or less. Message
boundaries are handled differently depending on the underlying
ContentType. Any future content types MUST specify appropriate
rules. Note that these rules are stricter than what was enforced in
TLS 1.2.
Handshake messages MAY be coalesced into a single TLSPlaintext record
or fragmented across several records, provided that:
- Handshake messages MUST NOT be interleaved with other record
types. That is, if a handshake message is split over two or more
records, there MUST NOT be any other records between them.
- Handshake messages MUST NOT span key changes. Implementations
MUST verify that all messages immediately preceding a key change
align with a record boundary; if not, then they MUST terminate the
connection with an "unexpected_message" alert. Because the
ClientHello, EndOfEarlyData, ServerHello, Finished, and KeyUpdate
messages can immediately precede a key change, implementations
MUST send these messages in alignment with a record boundary.
Implementations MUST NOT send zero-length fragments of Handshake
types, even if those fragments contain padding.
Alert messages (Section 6) MUST NOT be fragmented across records, and
multiple alert messages MUST NOT be coalesced into a single
TLSPlaintext record. In other words, a record with an Alert type
MUST contain exactly one message.
Application Data messages contain data that is opaque to TLS.
Application Data messages are always protected. Zero-length
fragments of Application Data MAY be sent, as they are potentially
useful as a traffic analysis countermeasure. Application Data
fragments MAY be split across multiple records or coalesced into a
single record.
Rescorla Standards Track [Page 78]
^L
RFC 8446 TLS August 2018
enum {
invalid(0),
change_cipher_spec(20),
alert(21),
handshake(22),
application_data(23),
(255)
} ContentType;
struct {
ContentType type;
ProtocolVersion legacy_record_version;
uint16 length;
opaque fragment[TLSPlaintext.length];
} TLSPlaintext;
type: The higher-level protocol used to process the enclosed
fragment.
legacy_record_version: MUST be set to 0x0303 for all records
generated by a TLS 1.3 implementation other than an initial
ClientHello (i.e., one not generated after a HelloRetryRequest),
where it MAY also be 0x0301 for compatibility purposes. This
field is deprecated and MUST be ignored for all purposes.
Previous versions of TLS would use other values in this field
under some circumstances.
length: The length (in bytes) of the following
TLSPlaintext.fragment. The length MUST NOT exceed 2^14 bytes. An
endpoint that receives a record that exceeds this length MUST
terminate the connection with a "record_overflow" alert.
fragment: The data being transmitted. This value is transparent and
is treated as an independent block to be dealt with by the higher-
level protocol specified by the type field.
This document describes TLS 1.3, which uses the version 0x0304. This
version value is historical, deriving from the use of 0x0301 for
TLS 1.0 and 0x0300 for SSL 3.0. In order to maximize backward
compatibility, a record containing an initial ClientHello SHOULD have
version 0x0301 (reflecting TLS 1.0) and a record containing a second
ClientHello or a ServerHello MUST have version 0x0303 (reflecting
TLS 1.2). When negotiating prior versions of TLS, endpoints follow
the procedure and requirements provided in Appendix D.
Rescorla Standards Track [Page 79]
^L
RFC 8446 TLS August 2018
When record protection has not yet been engaged, TLSPlaintext
structures are written directly onto the wire. Once record
protection has started, TLSPlaintext records are protected and sent
as described in the following section. Note that Application Data
records MUST NOT be written to the wire unprotected (see Section 2
for details).
5.2. Record Payload Protection
The record protection functions translate a TLSPlaintext structure
into a TLSCiphertext structure. The deprotection functions reverse
the process. In TLS 1.3, as opposed to previous versions of TLS, all
ciphers are modeled as "Authenticated Encryption with Associated
Data" (AEAD) [RFC5116]. AEAD functions provide a unified encryption
and authentication operation which turns plaintext into authenticated
ciphertext and back again. Each encrypted record consists of a
plaintext header followed by an encrypted body, which itself contains
a type and optional padding.
struct {
opaque content[TLSPlaintext.length];
ContentType type;
uint8 zeros[length_of_padding];
} TLSInnerPlaintext;
struct {
ContentType opaque_type = application_data; /* 23 */
ProtocolVersion legacy_record_version = 0x0303; /* TLS v1.2 */
uint16 length;
opaque encrypted_record[TLSCiphertext.length];
} TLSCiphertext;
content: The TLSPlaintext.fragment value, containing the byte
encoding of a handshake or an alert message, or the raw bytes of
the application's data to send.
type: The TLSPlaintext.type value containing the content type of the
record.
zeros: An arbitrary-length run of zero-valued bytes may appear in
the cleartext after the type field. This provides an opportunity
for senders to pad any TLS record by a chosen amount as long as
the total stays within record size limits. See Section 5.4 for
more details.
Rescorla Standards Track [Page 80]
^L
RFC 8446 TLS August 2018
opaque_type: The outer opaque_type field of a TLSCiphertext record
is always set to the value 23 (application_data) for outward
compatibility with middleboxes accustomed to parsing previous
versions of TLS. The actual content type of the record is found
in TLSInnerPlaintext.type after decryption.
legacy_record_version: The legacy_record_version field is always
0x0303. TLS 1.3 TLSCiphertexts are not generated until after
TLS 1.3 has been negotiated, so there are no historical
compatibility concerns where other values might be received. Note
that the handshake protocol, including the ClientHello and
ServerHello messages, authenticates the protocol version, so this
value is redundant.
length: The length (in bytes) of the following
TLSCiphertext.encrypted_record, which is the sum of the lengths of
the content and the padding, plus one for the inner content type,
plus any expansion added by the AEAD algorithm. The length
MUST NOT exceed 2^14 + 256 bytes. An endpoint that receives a
record that exceeds this length MUST terminate the connection with
a "record_overflow" alert.
encrypted_record: The AEAD-encrypted form of the serialized
TLSInnerPlaintext structure.
AEAD algorithms take as input a single key, a nonce, a plaintext, and
"additional data" to be included in the authentication check, as
described in Section 2.1 of [RFC5116]. The key is either the
client_write_key or the server_write_key, the nonce is derived from
the sequence number and the client_write_iv or server_write_iv (see
Section 5.3), and the additional data input is the record header.
I.e.,
additional_data = TLSCiphertext.opaque_type ||
TLSCiphertext.legacy_record_version ||
TLSCiphertext.length
The plaintext input to the AEAD algorithm is the encoded
TLSInnerPlaintext structure. Derivation of traffic keys is defined
in Section 7.3.
The AEAD output consists of the ciphertext output from the AEAD
encryption operation. The length of the plaintext is greater than
the corresponding TLSPlaintext.length due to the inclusion of
TLSInnerPlaintext.type and any padding supplied by the sender. The
length of the AEAD output will generally be larger than the
plaintext, but by an amount that varies with the AEAD algorithm.
Rescorla Standards Track [Page 81]
^L
RFC 8446 TLS August 2018
Since the ciphers might incorporate padding, the amount of overhead
could vary with different lengths of plaintext. Symbolically,
AEADEncrypted =
AEAD-Encrypt(write_key, nonce, additional_data, plaintext)
The encrypted_record field of TLSCiphertext is set to AEADEncrypted.
In order to decrypt and verify, the cipher takes as input the key,
nonce, additional data, and the AEADEncrypted value. The output is
either the plaintext or an error indicating that the decryption
failed. There is no separate integrity check. Symbolically,
plaintext of encrypted_record =
AEAD-Decrypt(peer_write_key, nonce,
additional_data, AEADEncrypted)
If the decryption fails, the receiver MUST terminate the connection
with a "bad_record_mac" alert.
An AEAD algorithm used in TLS 1.3 MUST NOT produce an expansion
greater than 255 octets. An endpoint that receives a record from its
peer with TLSCiphertext.length larger than 2^14 + 256 octets MUST
terminate the connection with a "record_overflow" alert. This limit
is derived from the maximum TLSInnerPlaintext length of 2^14 octets +
1 octet for ContentType + the maximum AEAD expansion of 255 octets.
5.3. Per-Record Nonce
A 64-bit sequence number is maintained separately for reading and
writing records. The appropriate sequence number is incremented by
one after reading or writing each record. Each sequence number is
set to zero at the beginning of a connection and whenever the key is
changed; the first record transmitted under a particular traffic key
MUST use sequence number 0.
Because the size of sequence numbers is 64-bit, they should not wrap.
If a TLS implementation would need to wrap a sequence number, it MUST
either rekey (Section 4.6.3) or terminate the connection.
Rescorla Standards Track [Page 82]
^L
RFC 8446 TLS August 2018
Each AEAD algorithm will specify a range of possible lengths for the
per-record nonce, from N_MIN bytes to N_MAX bytes of input [RFC5116].
The length of the TLS per-record nonce (iv_length) is set to the
larger of 8 bytes and N_MIN for the AEAD algorithm (see [RFC5116],
Section 4). An AEAD algorithm where N_MAX is less than 8 bytes
MUST NOT be used with TLS. The per-record nonce for the AEAD
construction is formed as follows:
1. The 64-bit record sequence number is encoded in network byte
order and padded to the left with zeros to iv_length.
2. The padded sequence number is XORed with either the static
client_write_iv or server_write_iv (depending on the role).
The resulting quantity (of length iv_length) is used as the
per-record nonce.
Note: This is a different construction from that in TLS 1.2, which
specified a partially explicit nonce.
5.4. Record Padding
All encrypted TLS records can be padded to inflate the size of the
TLSCiphertext. This allows the sender to hide the size of the
traffic from an observer.
When generating a TLSCiphertext record, implementations MAY choose to
pad. An unpadded record is just a record with a padding length of
zero. Padding is a string of zero-valued bytes appended to the
ContentType field before encryption. Implementations MUST set the
padding octets to all zeros before encrypting.
Application Data records may contain a zero-length
TLSInnerPlaintext.content if the sender desires. This permits
generation of plausibly sized cover traffic in contexts where the
presence or absence of activity may be sensitive. Implementations
MUST NOT send Handshake and Alert records that have a zero-length
TLSInnerPlaintext.content; if such a message is received, the
receiving implementation MUST terminate the connection with an
"unexpected_message" alert.
Rescorla Standards Track [Page 83]
^L
RFC 8446 TLS August 2018
The padding sent is automatically verified by the record protection
mechanism; upon successful decryption of a
TLSCiphertext.encrypted_record, the receiving implementation scans
the field from the end toward the beginning until it finds a non-zero
octet. This non-zero octet is the content type of the message. This
padding scheme was selected because it allows padding of any
encrypted TLS record by an arbitrary size (from zero up to TLS record
size limits) without introducing new content types. The design also
enforces all-zero padding octets, which allows for quick detection of
padding errors.
Implementations MUST limit their scanning to the cleartext returned
from the AEAD decryption. If a receiving implementation does not
find a non-zero octet in the cleartext, it MUST terminate the
connection with an "unexpected_message" alert.
The presence of padding does not change the overall record size
limitations: the full encoded TLSInnerPlaintext MUST NOT exceed 2^14
+ 1 octets. If the maximum fragment length is reduced -- as, for
example, by the record_size_limit extension from [RFC8449] -- then
the reduced limit applies to the full plaintext, including the
content type and padding.
Selecting a padding policy that suggests when and how much to pad is
a complex topic and is beyond the scope of this specification. If
the application-layer protocol on top of TLS has its own padding, it
may be preferable to pad Application Data TLS records within the
application layer. Padding for encrypted Handshake or Alert records
must still be handled at the TLS layer, though. Later documents may
define padding selection algorithms or define a padding policy
request mechanism through TLS extensions or some other means.
5.5. Limits on Key Usage
There are cryptographic limits on the amount of plaintext which can
be safely encrypted under a given set of keys. [AEAD-LIMITS]
provides an analysis of these limits under the assumption that the
underlying primitive (AES or ChaCha20) has no weaknesses.
Implementations SHOULD do a key update as described in Section 4.6.3
prior to reaching these limits.
For AES-GCM, up to 2^24.5 full-size records (about 24 million) may be
encrypted on a given connection while keeping a safety margin of
approximately 2^-57 for Authenticated Encryption (AE) security. For
ChaCha20/Poly1305, the record sequence number would wrap before the
safety limit is reached.
Rescorla Standards Track [Page 84]
^L
RFC 8446 TLS August 2018
6. Alert Protocol
TLS provides an Alert content type to indicate closure information
and errors. Like other messages, alert messages are encrypted as
specified by the current connection state.
Alert messages convey a description of the alert and a legacy field
that conveyed the severity level of the message in previous versions
of TLS. Alerts are divided into two classes: closure alerts and
error alerts. In TLS 1.3, the severity is implicit in the type of
alert being sent, and the "level" field can safely be ignored. The
"close_notify" alert is used to indicate orderly closure of one
direction of the connection. Upon receiving such an alert, the TLS
implementation SHOULD indicate end-of-data to the application.
Error alerts indicate abortive closure of the connection (see
Section 6.2). Upon receiving an error alert, the TLS implementation
SHOULD indicate an error to the application and MUST NOT allow any
further data to be sent or received on the connection. Servers and
clients MUST forget the secret values and keys established in failed
connections, with the exception of the PSKs associated with session
tickets, which SHOULD be discarded if possible.
All the alerts listed in Section 6.2 MUST be sent with
AlertLevel=fatal and MUST be treated as error alerts when received
regardless of the AlertLevel in the message. Unknown Alert types
MUST be treated as error alerts.
Note: TLS defines two generic alerts (see Section 6) to use upon
failure to parse a message. Peers which receive a message which
cannot be parsed according to the syntax (e.g., have a length
extending beyond the message boundary or contain an out-of-range
length) MUST terminate the connection with a "decode_error" alert.
Peers which receive a message which is syntactically correct but
semantically invalid (e.g., a DHE share of p - 1, or an invalid enum)
MUST terminate the connection with an "illegal_parameter" alert.
Rescorla Standards Track [Page 85]
^L
RFC 8446 TLS August 2018
enum { warning(1), fatal(2), (255) } AlertLevel;
enum {
close_notify(0),
unexpected_message(10),
bad_record_mac(20),
record_overflow(22),
handshake_failure(40),
bad_certificate(42),
unsupported_certificate(43),
certificate_revoked(44),
certificate_expired(45),
certificate_unknown(46),
illegal_parameter(47),
unknown_ca(48),
access_denied(49),
decode_error(50),
decrypt_error(51),
protocol_version(70),
insufficient_security(71),
internal_error(80),
inappropriate_fallback(86),
user_canceled(90),
missing_extension(109),
unsupported_extension(110),
unrecognized_name(112),
bad_certificate_status_response(113),
unknown_psk_identity(115),
certificate_required(116),
no_application_protocol(120),
(255)
} AlertDescription;
struct {
AlertLevel level;
AlertDescription description;
} Alert;
Rescorla Standards Track [Page 86]
^L
RFC 8446 TLS August 2018
6.1. Closure Alerts
The client and the server must share knowledge that the connection is
ending in order to avoid a truncation attack.
close_notify: This alert notifies the recipient that the sender will
not send any more messages on this connection. Any data received
after a closure alert has been received MUST be ignored.
user_canceled: This alert notifies the recipient that the sender is
canceling the handshake for some reason unrelated to a protocol
failure. If a user cancels an operation after the handshake is
complete, just closing the connection by sending a "close_notify"
is more appropriate. This alert SHOULD be followed by a
"close_notify". This alert generally has AlertLevel=warning.
Either party MAY initiate a close of its write side of the connection
by sending a "close_notify" alert. Any data received after a closure
alert has been received MUST be ignored. If a transport-level close
is received prior to a "close_notify", the receiver cannot know that
all the data that was sent has been received.
Each party MUST send a "close_notify" alert before closing its write
side of the connection, unless it has already sent some error alert.
This does not have any effect on its read side of the connection.
Note that this is a change from versions of TLS prior to TLS 1.3 in
which implementations were required to react to a "close_notify" by
discarding pending writes and sending an immediate "close_notify"
alert of their own. That previous requirement could cause truncation
in the read side. Both parties need not wait to receive a
"close_notify" alert before closing their read side of the
connection, though doing so would introduce the possibility of
truncation.
If the application protocol using TLS provides that any data may be
carried over the underlying transport after the TLS connection is
closed, the TLS implementation MUST receive a "close_notify" alert
before indicating end-of-data to the application layer. No part of
this standard should be taken to dictate the manner in which a usage
profile for TLS manages its data transport, including when
connections are opened or closed.
Note: It is assumed that closing the write side of a connection
reliably delivers pending data before destroying the transport.
Rescorla Standards Track [Page 87]
^L
RFC 8446 TLS August 2018
6.2. Error Alerts
Error handling in TLS is very simple. When an error is detected, the
detecting party sends a message to its peer. Upon transmission or
receipt of a fatal alert message, both parties MUST immediately close
the connection.
Whenever an implementation encounters a fatal error condition, it
SHOULD send an appropriate fatal alert and MUST close the connection
without sending or receiving any additional data. In the rest of
this specification, when the phrases "terminate the connection" and
"abort the handshake" are used without a specific alert it means that
the implementation SHOULD send the alert indicated by the
descriptions below. The phrases "terminate the connection with an X
alert" and "abort the handshake with an X alert" mean that the
implementation MUST send alert X if it sends any alert. All alerts
defined below in this section, as well as all unknown alerts, are
universally considered fatal as of TLS 1.3 (see Section 6). The
implementation SHOULD provide a way to facilitate logging the sending
and receiving of alerts.
The following error alerts are defined:
unexpected_message: An inappropriate message (e.g., the wrong
handshake message, premature Application Data, etc.) was received.
This alert should never be observed in communication between
proper implementations.
bad_record_mac: This alert is returned if a record is received which
cannot be deprotected. Because AEAD algorithms combine decryption
and verification, and also to avoid side-channel attacks, this
alert is used for all deprotection failures. This alert should
never be observed in communication between proper implementations,
except when messages were corrupted in the network.
record_overflow: A TLSCiphertext record was received that had a
length more than 2^14 + 256 bytes, or a record decrypted to a
TLSPlaintext record with more than 2^14 bytes (or some other
negotiated limit). This alert should never be observed in
communication between proper implementations, except when messages
were corrupted in the network.
handshake_failure: Receipt of a "handshake_failure" alert message
indicates that the sender was unable to negotiate an acceptable
set of security parameters given the options available.
bad_certificate: A certificate was corrupt, contained signatures
that did not verify correctly, etc.
Rescorla Standards Track [Page 88]
^L
RFC 8446 TLS August 2018
unsupported_certificate: A certificate was of an unsupported type.
certificate_revoked: A certificate was revoked by its signer.
certificate_expired: A certificate has expired or is not currently
valid.
certificate_unknown: Some other (unspecified) issue arose in
processing the certificate, rendering it unacceptable.
illegal_parameter: A field in the handshake was incorrect or
inconsistent with other fields. This alert is used for errors
which conform to the formal protocol syntax but are otherwise
incorrect.
unknown_ca: A valid certificate chain or partial chain was received,
but the certificate was not accepted because the CA certificate
could not be located or could not be matched with a known trust
anchor.
access_denied: A valid certificate or PSK was received, but when
access control was applied, the sender decided not to proceed with
negotiation.
decode_error: A message could not be decoded because some field was
out of the specified range or the length of the message was
incorrect. This alert is used for errors where the message does
not conform to the formal protocol syntax. This alert should
never be observed in communication between proper implementations,
except when messages were corrupted in the network.
decrypt_error: A handshake (not record layer) cryptographic
operation failed, including being unable to correctly verify a
signature or validate a Finished message or a PSK binder.
protocol_version: The protocol version the peer has attempted to
negotiate is recognized but not supported (see Appendix D).
insufficient_security: Returned instead of "handshake_failure" when
a negotiation has failed specifically because the server requires
parameters more secure than those supported by the client.
internal_error: An internal error unrelated to the peer or the
correctness of the protocol (such as a memory allocation failure)
makes it impossible to continue.
inappropriate_fallback: Sent by a server in response to an invalid
connection retry attempt from a client (see [RFC7507]).
Rescorla Standards Track [Page 89]
^L
RFC 8446 TLS August 2018
missing_extension: Sent by endpoints that receive a handshake
message not containing an extension that is mandatory to send for
the offered TLS version or other negotiated parameters.
unsupported_extension: Sent by endpoints receiving any handshake
message containing an extension known to be prohibited for
inclusion in the given handshake message, or including any
extensions in a ServerHello or Certificate not first offered in
the corresponding ClientHello or CertificateRequest.
unrecognized_name: Sent by servers when no server exists identified
by the name provided by the client via the "server_name" extension
(see [RFC6066]).
bad_certificate_status_response: Sent by clients when an invalid or
unacceptable OCSP response is provided by the server via the
"status_request" extension (see [RFC6066]).
unknown_psk_identity: Sent by servers when PSK key establishment is
desired but no acceptable PSK identity is provided by the client.
Sending this alert is OPTIONAL; servers MAY instead choose to send
a "decrypt_error" alert to merely indicate an invalid PSK
identity.
certificate_required: Sent by servers when a client certificate is
desired but none was provided by the client.
no_application_protocol: Sent by servers when a client
"application_layer_protocol_negotiation" extension advertises only
protocols that the server does not support (see [RFC7301]).
New Alert values are assigned by IANA as described in Section 11.
7. Cryptographic Computations
The TLS handshake establishes one or more input secrets which are
combined to create the actual working keying material, as detailed
below. The key derivation process incorporates both the input
secrets and the handshake transcript. Note that because the
handshake transcript includes the random values from the Hello
messages, any given handshake will have different traffic secrets,
even if the same input secrets are used, as is the case when the same
PSK is used for multiple connections.
Rescorla Standards Track [Page 90]
^L
RFC 8446 TLS August 2018
7.1. Key Schedule
The key derivation process makes use of the HKDF-Extract and
HKDF-Expand functions as defined for HKDF [RFC5869], as well as the
functions defined below:
HKDF-Expand-Label(Secret, Label, Context, Length) =
HKDF-Expand(Secret, HkdfLabel, Length)
Where HkdfLabel is specified as:
struct {
uint16 length = Length;
opaque label<7..255> = "tls13 " + Label;
opaque context<0..255> = Context;
} HkdfLabel;
Derive-Secret(Secret, Label, Messages) =
HKDF-Expand-Label(Secret, Label,
Transcript-Hash(Messages), Hash.length)
The Hash function used by Transcript-Hash and HKDF is the cipher
suite hash algorithm. Hash.length is its output length in bytes.
Messages is the concatenation of the indicated handshake messages,
including the handshake message type and length fields, but not
including record layer headers. Note that in some cases a zero-
length Context (indicated by "") is passed to HKDF-Expand-Label. The
labels specified in this document are all ASCII strings and do not
include a trailing NUL byte.
Note: With common hash functions, any label longer than 12 characters
requires an additional iteration of the hash function to compute.
The labels in this specification have all been chosen to fit within
this limit.
Rescorla Standards Track [Page 91]
^L
RFC 8446 TLS August 2018
Keys are derived from two input secrets using the HKDF-Extract and
Derive-Secret functions. The general pattern for adding a new secret
is to use HKDF-Extract with the Salt being the current secret state
and the Input Keying Material (IKM) being the new secret to be added.
In this version of TLS 1.3, the two input secrets are:
- PSK (a pre-shared key established externally or derived from the
resumption_master_secret value from a previous connection)
- (EC)DHE shared secret (Section 7.4)
This produces a full key derivation schedule shown in the diagram
below. In this diagram, the following formatting conventions apply:
- HKDF-Extract is drawn as taking the Salt argument from the top and
the IKM argument from the left, with its output to the bottom and
the name of the output on the right.
- Derive-Secret's Secret argument is indicated by the incoming
arrow. For instance, the Early Secret is the Secret for
generating the client_early_traffic_secret.
- "0" indicates a string of Hash.length bytes set to zero.
Rescorla Standards Track [Page 92]
^L
RFC 8446 TLS August 2018
0
|
v
PSK -> HKDF-Extract = Early Secret
|
+-----> Derive-Secret(., "ext binder" | "res binder", "")
| = binder_key
|
+-----> Derive-Secret(., "c e traffic", ClientHello)
| = client_early_traffic_secret
|
+-----> Derive-Secret(., "e exp master", ClientHello)
| = early_exporter_master_secret
v
Derive-Secret(., "derived", "")
|
v
(EC)DHE -> HKDF-Extract = Handshake Secret
|
+-----> Derive-Secret(., "c hs traffic",
| ClientHello...ServerHello)
| = client_handshake_traffic_secret
|
+-----> Derive-Secret(., "s hs traffic",
| ClientHello...ServerHello)
| = server_handshake_traffic_secret
v
Derive-Secret(., "derived", "")
|
v
0 -> HKDF-Extract = Master Secret
|
+-----> Derive-Secret(., "c ap traffic",
| ClientHello...server Finished)
| = client_application_traffic_secret_0
|
+-----> Derive-Secret(., "s ap traffic",
| ClientHello...server Finished)
| = server_application_traffic_secret_0
|
+-----> Derive-Secret(., "exp master",
| ClientHello...server Finished)
| = exporter_master_secret
|
+-----> Derive-Secret(., "res master",
ClientHello...client Finished)
= resumption_master_secret
Rescorla Standards Track [Page 93]
^L
RFC 8446 TLS August 2018
The general pattern here is that the secrets shown down the left side
of the diagram are just raw entropy without context, whereas the
secrets down the right side include Handshake Context and therefore
can be used to derive working keys without additional context. Note
that the different calls to Derive-Secret may take different Messages
arguments, even with the same secret. In a 0-RTT exchange,
Derive-Secret is called with four distinct transcripts; in a
1-RTT-only exchange, it is called with three distinct transcripts.
If a given secret is not available, then the 0-value consisting of a
string of Hash.length bytes set to zeros is used. Note that this
does not mean skipping rounds, so if PSK is not in use, Early Secret
will still be HKDF-Extract(0, 0). For the computation of the
binder_key, the label is "ext binder" for external PSKs (those
provisioned outside of TLS) and "res binder" for resumption PSKs
(those provisioned as the resumption master secret of a previous
handshake). The different labels prevent the substitution of one
type of PSK for the other.
There are multiple potential Early Secret values, depending on which
PSK the server ultimately selects. The client will need to compute
one for each potential PSK; if no PSK is selected, it will then need
to compute the Early Secret corresponding to the zero PSK.
Once all the values which are to be derived from a given secret have
been computed, that secret SHOULD be erased.
7.2. Updating Traffic Secrets
Once the handshake is complete, it is possible for either side to
update its sending traffic keys using the KeyUpdate handshake message
defined in Section 4.6.3. The next generation of traffic keys is
computed by generating client_/server_application_traffic_secret_N+1
from client_/server_application_traffic_secret_N as described in this
section and then re-deriving the traffic keys as described in
Section 7.3.
The next-generation application_traffic_secret is computed as:
application_traffic_secret_N+1 =
HKDF-Expand-Label(application_traffic_secret_N,
"traffic upd", "", Hash.length)
Once client_/server_application_traffic_secret_N+1 and its associated
traffic keys have been computed, implementations SHOULD delete
client_/server_application_traffic_secret_N and its associated
traffic keys.
Rescorla Standards Track [Page 94]
^L
RFC 8446 TLS August 2018
7.3. Traffic Key Calculation
The traffic keying material is generated from the following input
values:
- A secret value
- A purpose value indicating the specific value being generated
- The length of the key being generated
The traffic keying material is generated from an input traffic secret
value using:
[sender]_write_key = HKDF-Expand-Label(Secret, "key", "", key_length)
[sender]_write_iv = HKDF-Expand-Label(Secret, "iv", "", iv_length)
[sender] denotes the sending side. The value of Secret for each
record type is shown in the table below.
+-------------------+---------------------------------------+
| Record Type | Secret |
+-------------------+---------------------------------------+
| 0-RTT Application | client_early_traffic_secret |
| | |
| Handshake | [sender]_handshake_traffic_secret |
| | |
| Application Data | [sender]_application_traffic_secret_N |
+-------------------+---------------------------------------+
All the traffic keying material is recomputed whenever the underlying
Secret changes (e.g., when changing from the handshake to Application
Data keys or upon a key update).
7.4. (EC)DHE Shared Secret Calculation
7.4.1. Finite Field Diffie-Hellman
For finite field groups, a conventional Diffie-Hellman [DH76]
computation is performed. The negotiated key (Z) is converted to a
byte string by encoding in big-endian form and left-padded with zeros
up to the size of the prime. This byte string is used as the shared
secret in the key schedule as specified above.
Note that this construction differs from previous versions of TLS
which removed leading zeros.
Rescorla Standards Track [Page 95]
^L
RFC 8446 TLS August 2018
7.4.2. Elliptic Curve Diffie-Hellman
For secp256r1, secp384r1, and secp521r1, ECDH calculations (including
parameter and key generation as well as the shared secret
calculation) are performed according to [IEEE1363] using the
ECKAS-DH1 scheme with the identity map as the key derivation function
(KDF), so that the shared secret is the x-coordinate of the ECDH
shared secret elliptic curve point represented as an octet string.
Note that this octet string ("Z" in IEEE 1363 terminology) as output
by FE2OSP (the Field Element to Octet String Conversion Primitive)
has constant length for any given field; leading zeros found in this
octet string MUST NOT be truncated.
(Note that this use of the identity KDF is a technicality. The
complete picture is that ECDH is employed with a non-trivial KDF
because TLS does not directly use this secret for anything other than
for computing other secrets.)
For X25519 and X448, the ECDH calculations are as follows:
- The public key to put into the KeyShareEntry.key_exchange
structure is the result of applying the ECDH scalar multiplication
function to the secret key of appropriate length (into scalar
input) and the standard public basepoint (into u-coordinate point
input).
- The ECDH shared secret is the result of applying the ECDH scalar
multiplication function to the secret key (into scalar input) and
the peer's public key (into u-coordinate point input). The output
is used raw, with no processing.
For these curves, implementations SHOULD use the approach specified
in [RFC7748] to calculate the Diffie-Hellman shared secret.
Implementations MUST check whether the computed Diffie-Hellman shared
secret is the all-zero value and abort if so, as described in
Section 6 of [RFC7748]. If implementors use an alternative
implementation of these elliptic curves, they SHOULD perform the
additional checks specified in Section 7 of [RFC7748].
Rescorla Standards Track [Page 96]
^L
RFC 8446 TLS August 2018
7.5. Exporters
[RFC5705] defines keying material exporters for TLS in terms of the
TLS pseudorandom function (PRF). This document replaces the PRF with
HKDF, thus requiring a new construction. The exporter interface
remains the same.
The exporter value is computed as:
TLS-Exporter(label, context_value, key_length) =
HKDF-Expand-Label(Derive-Secret(Secret, label, ""),
"exporter", Hash(context_value), key_length)
Where Secret is either the early_exporter_master_secret or the
exporter_master_secret. Implementations MUST use the
exporter_master_secret unless explicitly specified by the
application. The early_exporter_master_secret is defined for use in
settings where an exporter is needed for 0-RTT data. A separate
interface for the early exporter is RECOMMENDED; this avoids the
exporter user accidentally using an early exporter when a regular one
is desired or vice versa.
If no context is provided, the context_value is zero length.
Consequently, providing no context computes the same value as
providing an empty context. This is a change from previous versions
of TLS where an empty context produced a different output than an
absent context. As of this document's publication, no allocated
exporter label is used both with and without a context. Future
specifications MUST NOT define a use of exporters that permit both an
empty context and no context with the same label. New uses of
exporters SHOULD provide a context in all exporter computations,
though the value could be empty.
Requirements for the format of exporter labels are defined in
Section 4 of [RFC5705].
Rescorla Standards Track [Page 97]
^L
RFC 8446 TLS August 2018
8. 0-RTT and Anti-Replay
As noted in Section 2.3 and Appendix E.5, TLS does not provide
inherent replay protections for 0-RTT data. There are two potential
threats to be concerned with:
- Network attackers who mount a replay attack by simply duplicating
a flight of 0-RTT data.
- Network attackers who take advantage of client retry behavior to
arrange for the server to receive multiple copies of an
application message. This threat already exists to some extent
because clients that value robustness respond to network errors by
attempting to retry requests. However, 0-RTT adds an additional
dimension for any server system which does not maintain globally
consistent server state. Specifically, if a server system has
multiple zones where tickets from zone A will not be accepted in
zone B, then an attacker can duplicate a ClientHello and early
data intended for A to both A and B. At A, the data will be
accepted in 0-RTT, but at B the server will reject 0-RTT data and
instead force a full handshake. If the attacker blocks the
ServerHello from A, then the client will complete the handshake
with B and probably retry the request, leading to duplication on
the server system as a whole.
The first class of attack can be prevented by sharing state to
guarantee that the 0-RTT data is accepted at most once. Servers
SHOULD provide that level of replay safety by implementing one of the
methods described in this section or by equivalent means. It is
understood, however, that due to operational concerns not all
deployments will maintain state at that level. Therefore, in normal
operation, clients will not know which, if any, of these mechanisms
servers actually implement and hence MUST only send early data which
they deem safe to be replayed.
In addition to the direct effects of replays, there is a class of
attacks where even operations normally considered idempotent could be
exploited by a large number of replays (timing attacks, resource
limit exhaustion and others, as described in Appendix E.5). Those
can be mitigated by ensuring that every 0-RTT payload can be replayed
only a limited number of times. The server MUST ensure that any
instance of it (be it a machine, a thread, or any other entity within
the relevant serving infrastructure) would accept 0-RTT for the same
0-RTT handshake at most once; this limits the number of replays to
the number of server instances in the deployment. Such a guarantee
can be accomplished by locally recording data from recently received
ClientHellos and rejecting repeats, or by any other method that
Rescorla Standards Track [Page 98]
^L
RFC 8446 TLS August 2018
provides the same or a stronger guarantee. The "at most once per
server instance" guarantee is a minimum requirement; servers SHOULD
limit 0-RTT replays further when feasible.
The second class of attack cannot be prevented at the TLS layer and
MUST be dealt with by any application. Note that any application
whose clients implement any kind of retry behavior already needs to
implement some sort of anti-replay defense.
8.1. Single-Use Tickets
The simplest form of anti-replay defense is for the server to only
allow each session ticket to be used once. For instance, the server
can maintain a database of all outstanding valid tickets, deleting
each ticket from the database as it is used. If an unknown ticket is
provided, the server would then fall back to a full handshake.
If the tickets are not self-contained but rather are database keys,
and the corresponding PSKs are deleted upon use, then connections
established using PSKs enjoy forward secrecy. This improves security
for all 0-RTT data and PSK usage when PSK is used without (EC)DHE.
Because this mechanism requires sharing the session database between
server nodes in environments with multiple distributed servers, it
may be hard to achieve high rates of successful PSK 0-RTT connections
when compared to self-encrypted tickets. Unlike session databases,
session tickets can successfully do PSK-based session establishment
even without consistent storage, though when 0-RTT is allowed they
still require consistent storage for anti-replay of 0-RTT data, as
detailed in the following section.
8.2. Client Hello Recording
An alternative form of anti-replay is to record a unique value
derived from the ClientHello (generally either the random value or
the PSK binder) and reject duplicates. Recording all ClientHellos
causes state to grow without bound, but a server can instead record
ClientHellos within a given time window and use the
"obfuscated_ticket_age" to ensure that tickets aren't reused outside
that window.
In order to implement this, when a ClientHello is received, the
server first verifies the PSK binder as described in Section 4.2.11.
It then computes the expected_arrival_time as described in the next
section and rejects 0-RTT if it is outside the recording window,
falling back to the 1-RTT handshake.
Rescorla Standards Track [Page 99]
^L
RFC 8446 TLS August 2018
If the expected_arrival_time is in the window, then the server checks
to see if it has recorded a matching ClientHello. If one is found,
it either aborts the handshake with an "illegal_parameter" alert or
accepts the PSK but rejects 0-RTT. If no matching ClientHello is
found, then it accepts 0-RTT and then stores the ClientHello for as
long as the expected_arrival_time is inside the window. Servers MAY
also implement data stores with false positives, such as Bloom
filters, in which case they MUST respond to apparent replay by
rejecting 0-RTT but MUST NOT abort the handshake.
The server MUST derive the storage key only from validated sections
of the ClientHello. If the ClientHello contains multiple PSK
identities, then an attacker can create multiple ClientHellos with
different binder values for the less-preferred identity on the
assumption that the server will not verify it (as recommended by
Section 4.2.11). I.e., if the client sends PSKs A and B but the
server prefers A, then the attacker can change the binder for B
without affecting the binder for A. If the binder for B is part of
the storage key, then this ClientHello will not appear as a
duplicate, which will cause the ClientHello to be accepted, and may
cause side effects such as replay cache pollution, although any 0-RTT
data will not be decryptable because it will use different keys. If
the validated binder or the ClientHello.random is used as the storage
key, then this attack is not possible.
Because this mechanism does not require storing all outstanding
tickets, it may be easier to implement in distributed systems with
high rates of resumption and 0-RTT, at the cost of potentially weaker
anti-replay defense because of the difficulty of reliably storing and
retrieving the received ClientHello messages. In many such systems,
it is impractical to have globally consistent storage of all the
received ClientHellos. In this case, the best anti-replay protection
is provided by having a single storage zone be authoritative for a
given ticket and refusing 0-RTT for that ticket in any other zone.
This approach prevents simple replay by the attacker because only one
zone will accept 0-RTT data. A weaker design is to implement
separate storage for each zone but allow 0-RTT in any zone. This
approach limits the number of replays to once per zone. Application
message duplication of course remains possible with either design.
When implementations are freshly started, they SHOULD reject 0-RTT as
long as any portion of their recording window overlaps the startup
time. Otherwise, they run the risk of accepting replays which were
originally sent during that period.
Rescorla Standards Track [Page 100]
^L
RFC 8446 TLS August 2018
Note: If the client's clock is running much faster than the server's,
then a ClientHello may be received that is outside the window in the
future, in which case it might be accepted for 1-RTT, causing a
client retry, and then acceptable later for 0-RTT. This is another
variant of the second form of attack described in Section 8.
8.3. Freshness Checks
Because the ClientHello indicates the time at which the client sent
it, it is possible to efficiently determine whether a ClientHello was
likely sent reasonably recently and only accept 0-RTT for such a
ClientHello, otherwise falling back to a 1-RTT handshake. This is
necessary for the ClientHello storage mechanism described in
Section 8.2 because otherwise the server needs to store an unlimited
number of ClientHellos, and is a useful optimization for self-
contained single-use tickets because it allows efficient rejection of
ClientHellos which cannot be used for 0-RTT.
In order to implement this mechanism, a server needs to store the
time that the server generated the session ticket, offset by an
estimate of the round-trip time between client and server. I.e.,
adjusted_creation_time = creation_time + estimated_RTT
This value can be encoded in the ticket, thus avoiding the need to
keep state for each outstanding ticket. The server can determine the
client's view of the age of the ticket by subtracting the ticket's
"ticket_age_add" value from the "obfuscated_ticket_age" parameter in
the client's "pre_shared_key" extension. The server can determine
the expected_arrival_time of the ClientHello as:
expected_arrival_time = adjusted_creation_time + clients_ticket_age
When a new ClientHello is received, the expected_arrival_time is then
compared against the current server wall clock time and if they
differ by more than a certain amount, 0-RTT is rejected, though the
1-RTT handshake can be allowed to complete.
Rescorla Standards Track [Page 101]
^L
RFC 8446 TLS August 2018
There are several potential sources of error that might cause
mismatches between the expected_arrival_time and the measured time.
Variations in client and server clock rates are likely to be minimal,
though potentially the absolute times may be off by large values.
Network propagation delays are the most likely causes of a mismatch
in legitimate values for elapsed time. Both the NewSessionTicket and
ClientHello messages might be retransmitted and therefore delayed,
which might be hidden by TCP. For clients on the Internet, this
implies windows on the order of ten seconds to account for errors in
clocks and variations in measurements; other deployment scenarios may
have different needs. Clock skew distributions are not symmetric, so
the optimal tradeoff may involve an asymmetric range of permissible
mismatch values.
Note that freshness checking alone is not sufficient to prevent
replays because it does not detect them during the error window,
which -- depending on bandwidth and system capacity -- could include
billions of replays in real-world settings. In addition, this
freshness checking is only done at the time the ClientHello is
received and not when subsequent early Application Data records are
received. After early data is accepted, records may continue to be
streamed to the server over a longer time period.
9. Compliance Requirements
9.1. Mandatory-to-Implement Cipher Suites
In the absence of an application profile standard specifying
otherwise:
A TLS-compliant application MUST implement the TLS_AES_128_GCM_SHA256
[GCM] cipher suite and SHOULD implement the TLS_AES_256_GCM_SHA384
[GCM] and TLS_CHACHA20_POLY1305_SHA256 [RFC8439] cipher suites (see
Appendix B.4).
A TLS-compliant application MUST support digital signatures with
rsa_pkcs1_sha256 (for certificates), rsa_pss_rsae_sha256 (for
CertificateVerify and certificates), and ecdsa_secp256r1_sha256. A
TLS-compliant application MUST support key exchange with secp256r1
(NIST P-256) and SHOULD support key exchange with X25519 [RFC7748].
Rescorla Standards Track [Page 102]
^L
RFC 8446 TLS August 2018
9.2. Mandatory-to-Implement Extensions
In the absence of an application profile standard specifying
otherwise, a TLS-compliant application MUST implement the following
TLS extensions:
- Supported Versions ("supported_versions"; Section 4.2.1)
- Cookie ("cookie"; Section 4.2.2)
- Signature Algorithms ("signature_algorithms"; Section 4.2.3)
- Signature Algorithms Certificate ("signature_algorithms_cert";
Section 4.2.3)
- Negotiated Groups ("supported_groups"; Section 4.2.7)
- Key Share ("key_share"; Section 4.2.8)
- Server Name Indication ("server_name"; Section 3 of [RFC6066])
All implementations MUST send and use these extensions when offering
applicable features:
- "supported_versions" is REQUIRED for all ClientHello, ServerHello,
and HelloRetryRequest messages.
- "signature_algorithms" is REQUIRED for certificate authentication.
- "supported_groups" is REQUIRED for ClientHello messages using DHE
or ECDHE key exchange.
- "key_share" is REQUIRED for DHE or ECDHE key exchange.
- "pre_shared_key" is REQUIRED for PSK key agreement.
- "psk_key_exchange_modes" is REQUIRED for PSK key agreement.
Rescorla Standards Track [Page 103]
^L
RFC 8446 TLS August 2018
A client is considered to be attempting to negotiate using this
specification if the ClientHello contains a "supported_versions"
extension with 0x0304 contained in its body. Such a ClientHello
message MUST meet the following requirements:
- If not containing a "pre_shared_key" extension, it MUST contain
both a "signature_algorithms" extension and a "supported_groups"
extension.
- If containing a "supported_groups" extension, it MUST also contain
a "key_share" extension, and vice versa. An empty
KeyShare.client_shares vector is permitted.
Servers receiving a ClientHello which does not conform to these
requirements MUST abort the handshake with a "missing_extension"
alert.
Additionally, all implementations MUST support the use of the
"server_name" extension with applications capable of using it.
Servers MAY require clients to send a valid "server_name" extension.
Servers requiring this extension SHOULD respond to a ClientHello
lacking a "server_name" extension by terminating the connection with
a "missing_extension" alert.
9.3. Protocol Invariants
This section describes invariants that TLS endpoints and middleboxes
MUST follow. It also applies to earlier versions of TLS.
TLS is designed to be securely and compatibly extensible. Newer
clients or servers, when communicating with newer peers, should
negotiate the most preferred common parameters. The TLS handshake
provides downgrade protection: Middleboxes passing traffic between a
newer client and newer server without terminating TLS should be
unable to influence the handshake (see Appendix E.1). At the same
time, deployments update at different rates, so a newer client or
server MAY continue to support older parameters, which would allow it
to interoperate with older endpoints.
Rescorla Standards Track [Page 104]
^L
RFC 8446 TLS August 2018
For this to work, implementations MUST correctly handle extensible
fields:
- A client sending a ClientHello MUST support all parameters
advertised in it. Otherwise, the server may fail to interoperate
by selecting one of those parameters.
- A server receiving a ClientHello MUST correctly ignore all
unrecognized cipher suites, extensions, and other parameters.
Otherwise, it may fail to interoperate with newer clients. In
TLS 1.3, a client receiving a CertificateRequest or
NewSessionTicket MUST also ignore all unrecognized extensions.
- A middlebox which terminates a TLS connection MUST behave as a
compliant TLS server (to the original client), including having a
certificate which the client is willing to accept, and also as a
compliant TLS client (to the original server), including verifying
the original server's certificate. In particular, it MUST
generate its own ClientHello containing only parameters it
understands, and it MUST generate a fresh ServerHello random
value, rather than forwarding the endpoint's value.
Note that TLS's protocol requirements and security analysis only
apply to the two connections separately. Safely deploying a TLS
terminator requires additional security considerations which are
beyond the scope of this document.
- A middlebox which forwards ClientHello parameters it does not
understand MUST NOT process any messages beyond that ClientHello.
It MUST forward all subsequent traffic unmodified. Otherwise, it
may fail to interoperate with newer clients and servers.
Forwarded ClientHellos may contain advertisements for features not
supported by the middlebox, so the response may include future TLS
additions the middlebox does not recognize. These additions MAY
change any message beyond the ClientHello arbitrarily. In
particular, the values sent in the ServerHello might change, the
ServerHello format might change, and the TLSCiphertext format
might change.
The design of TLS 1.3 was constrained by widely deployed
non-compliant TLS middleboxes (see Appendix D.4); however, it does
not relax the invariants. Those middleboxes continue to be
non-compliant.
Rescorla Standards Track [Page 105]
^L
RFC 8446 TLS August 2018
10. Security Considerations
Security issues are discussed throughout this memo, especially in
Appendices C, D, and E.
11. IANA Considerations
This document uses several registries that were originally created in
[RFC4346] and updated in [RFC8447]. IANA has updated these to
reference this document. The registries and their allocation
policies are below:
- TLS Cipher Suites registry: values with the first byte in the
range 0-254 (decimal) are assigned via Specification Required
[RFC8126]. Values with the first byte 255 (decimal) are reserved
for Private Use [RFC8126].
IANA has added the cipher suites listed in Appendix B.4 to the
registry. The "Value" and "Description" columns are taken from
the table. The "DTLS-OK" and "Recommended" columns are both
marked as "Y" for each new cipher suite.
- TLS ContentType registry: Future values are allocated via
Standards Action [RFC8126].
- TLS Alerts registry: Future values are allocated via Standards
Action [RFC8126]. IANA has populated this registry with the
values from Appendix B.2. The "DTLS-OK" column is marked as "Y"
for all such values. Values marked as "_RESERVED" have comments
describing their previous usage.
- TLS HandshakeType registry: Future values are allocated via
Standards Action [RFC8126]. IANA has updated this registry to
rename item 4 from "NewSessionTicket" to "new_session_ticket" and
populated this registry with the values from Appendix B.3. The
"DTLS-OK" column is marked as "Y" for all such values. Values
marked "_RESERVED" have comments describing their previous or
temporary usage.
Rescorla Standards Track [Page 106]
^L
RFC 8446 TLS August 2018
This document also uses the TLS ExtensionType Values registry
originally created in [RFC4366]. IANA has updated it to reference
this document. Changes to the registry follow:
- IANA has updated the registration policy as follows:
Values with the first byte in the range 0-254 (decimal) are
assigned via Specification Required [RFC8126]. Values with the
first byte 255 (decimal) are reserved for Private Use [RFC8126].
- IANA has updated this registry to include the "key_share",
"pre_shared_key", "psk_key_exchange_modes", "early_data",
"cookie", "supported_versions", "certificate_authorities",
"oid_filters", "post_handshake_auth", and
"signature_algorithms_cert" extensions with the values defined in
this document and the "Recommended" value of "Y".
- IANA has updated this registry to include a "TLS 1.3" column which
lists the messages in which the extension may appear. This column
has been initially populated from the table in Section 4.2, with
any extension not listed there marked as "-" to indicate that it
is not used by TLS 1.3.
This document updates an entry in the TLS Certificate Types registry
originally created in [RFC6091] and updated in [RFC8447]. IANA has
updated the entry for value 1 to have the name "OpenPGP_RESERVED",
"Recommended" value "N", and comment "Used in TLS versions prior
to 1.3."
This document updates an entry in the TLS Certificate Status Types
registry originally created in [RFC6961]. IANA has updated the entry
for value 2 to have the name "ocsp_multi_RESERVED" and comment "Used
in TLS versions prior to 1.3".
This document updates two entries in the TLS Supported Groups
registry (created under a different name by [RFC4492]; now maintained
by [RFC8422]) and updated by [RFC7919] and [RFC8447]. The entries
for values 29 and 30 (x25519 and x448) have been updated to also
refer to this document.
Rescorla Standards Track [Page 107]
^L
RFC 8446 TLS August 2018
In addition, this document defines two new registries that are
maintained by IANA:
- TLS SignatureScheme registry: Values with the first byte in the
range 0-253 (decimal) are assigned via Specification Required
[RFC8126]. Values with the first byte 254 or 255 (decimal) are
reserved for Private Use [RFC8126]. Values with the first byte in
the range 0-6 or with the second byte in the range 0-3 that are
not currently allocated are reserved for backward compatibility.
This registry has a "Recommended" column. The registry has been
initially populated with the values described in Section 4.2.3.
The following values are marked as "Recommended":
ecdsa_secp256r1_sha256, ecdsa_secp384r1_sha384,
rsa_pss_rsae_sha256, rsa_pss_rsae_sha384, rsa_pss_rsae_sha512,
rsa_pss_pss_sha256, rsa_pss_pss_sha384, rsa_pss_pss_sha512, and
ed25519. The "Recommended" column is assigned a value of "N"
unless explicitly requested, and adding a value with a
"Recommended" value of "Y" requires Standards Action [RFC8126].
IESG Approval is REQUIRED for a Y->N transition.
- TLS PskKeyExchangeMode registry: Values in the range 0-253
(decimal) are assigned via Specification Required [RFC8126].
The values 254 and 255 (decimal) are reserved for Private Use
[RFC8126]. This registry has a "Recommended" column. The
registry has been initially populated with psk_ke (0) and
psk_dhe_ke (1). Both are marked as "Recommended". The
"Recommended" column is assigned a value of "N" unless explicitly
requested, and adding a value with a "Recommended" value of "Y"
requires Standards Action [RFC8126]. IESG Approval is REQUIRED
for a Y->N transition.
Rescorla Standards Track [Page 108]
^L
RFC 8446 TLS August 2018
12. References
12.1. Normative References
[DH76] Diffie, W. and M. Hellman, "New directions in
cryptography", IEEE Transactions on Information
Theory, Vol. 22 No. 6, pp. 644-654,
DOI 10.1109/TIT.1976.1055638, November 1976.
[ECDSA] American National Standards Institute, "Public Key
Cryptography for the Financial Services Industry: The
Elliptic Curve Digital Signature Algorithm (ECDSA)",
ANSI ANS X9.62-2005, November 2005.
[GCM] Dworkin, M., "Recommendation for Block Cipher Modes of
Operation: Galois/Counter Mode (GCM) and GMAC",
NIST Special Publication 800-38D,
DOI 10.6028/NIST.SP.800-38D, November 2007.
[RFC2104] Krawczyk, H., Bellare, M., and R. Canetti, "HMAC: Keyed-
Hashing for Message Authentication", RFC 2104,
DOI 10.17487/RFC2104, February 1997,
<https://www.rfc-editor.org/info/rfc2104>.
[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate
Requirement Levels", BCP 14, RFC 2119,
DOI 10.17487/RFC2119, March 1997,
<https://www.rfc-editor.org/info/rfc2119>.
[RFC5116] McGrew, D., "An Interface and Algorithms for Authenticated
Encryption", RFC 5116, DOI 10.17487/RFC5116, January 2008,
<https://www.rfc-editor.org/info/rfc5116>.
[RFC5280] Cooper, D., Santesson, S., Farrell, S., Boeyen, S.,
Housley, R., and W. Polk, "Internet X.509 Public Key
Infrastructure Certificate and Certificate Revocation List
(CRL) Profile", RFC 5280, DOI 10.17487/RFC5280, May 2008,
<https://www.rfc-editor.org/info/rfc5280>.
[RFC5705] Rescorla, E., "Keying Material Exporters for Transport
Layer Security (TLS)", RFC 5705, DOI 10.17487/RFC5705,
March 2010, <https://www.rfc-editor.org/info/rfc5705>.
[RFC5756] Turner, S., Brown, D., Yiu, K., Housley, R., and T. Polk,
"Updates for RSAES-OAEP and RSASSA-PSS Algorithm
Parameters", RFC 5756, DOI 10.17487/RFC5756, January 2010,
<https://www.rfc-editor.org/info/rfc5756>.
Rescorla Standards Track [Page 109]
^L
RFC 8446 TLS August 2018
[RFC5869] Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand
Key Derivation Function (HKDF)", RFC 5869,
DOI 10.17487/RFC5869, May 2010,
<https://www.rfc-editor.org/info/rfc5869>.
[RFC6066] Eastlake 3rd, D., "Transport Layer Security (TLS)
Extensions: Extension Definitions", RFC 6066,
DOI 10.17487/RFC6066, January 2011,
<https://www.rfc-editor.org/info/rfc6066>.
[RFC6655] McGrew, D. and D. Bailey, "AES-CCM Cipher Suites for
Transport Layer Security (TLS)", RFC 6655,
DOI 10.17487/RFC6655, July 2012,
<https://www.rfc-editor.org/info/rfc6655>.
[RFC6960] Santesson, S., Myers, M., Ankney, R., Malpani, A.,
Galperin, S., and C. Adams, "X.509 Internet Public Key
Infrastructure Online Certificate Status Protocol - OCSP",
RFC 6960, DOI 10.17487/RFC6960, June 2013,
<https://www.rfc-editor.org/info/rfc6960>.
[RFC6961] Pettersen, Y., "The Transport Layer Security (TLS)
Multiple Certificate Status Request Extension", RFC 6961,
DOI 10.17487/RFC6961, June 2013,
<https://www.rfc-editor.org/info/rfc6961>.
[RFC6962] Laurie, B., Langley, A., and E. Kasper, "Certificate
Transparency", RFC 6962, DOI 10.17487/RFC6962, June 2013,
<https://www.rfc-editor.org/info/rfc6962>.
[RFC6979] Pornin, T., "Deterministic Usage of the Digital Signature
Algorithm (DSA) and Elliptic Curve Digital Signature
Algorithm (ECDSA)", RFC 6979, DOI 10.17487/RFC6979,
August 2013, <https://www.rfc-editor.org/info/rfc6979>.
[RFC7301] Friedl, S., Popov, A., Langley, A., and E. Stephan,
"Transport Layer Security (TLS) Application-Layer Protocol
Negotiation Extension", RFC 7301, DOI 10.17487/RFC7301,
July 2014, <https://www.rfc-editor.org/info/rfc7301>.
[RFC7507] Moeller, B. and A. Langley, "TLS Fallback Signaling Cipher
Suite Value (SCSV) for Preventing Protocol Downgrade
Attacks", RFC 7507, DOI 10.17487/RFC7507, April 2015,
<https://www.rfc-editor.org/info/rfc7507>.
[RFC7748] Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves
for Security", RFC 7748, DOI 10.17487/RFC7748,
January 2016, <https://www.rfc-editor.org/info/rfc7748>.
Rescorla Standards Track [Page 110]
^L
RFC 8446 TLS August 2018
[RFC7919] Gillmor, D., "Negotiated Finite Field Diffie-Hellman
Ephemeral Parameters for Transport Layer Security (TLS)",
RFC 7919, DOI 10.17487/RFC7919, August 2016,
<https://www.rfc-editor.org/info/rfc7919>.
[RFC8017] Moriarty, K., Ed., Kaliski, B., Jonsson, J., and A. Rusch,
"PKCS #1: RSA Cryptography Specifications Version 2.2",
RFC 8017, DOI 10.17487/RFC8017, November 2016,
<https://www.rfc-editor.org/info/rfc8017>.
[RFC8032] Josefsson, S. and I. Liusvaara, "Edwards-Curve Digital
Signature Algorithm (EdDSA)", RFC 8032,
DOI 10.17487/RFC8032, January 2017,
<https://www.rfc-editor.org/info/rfc8032>.
[RFC8126] Cotton, M., Leiba, B., and T. Narten, "Guidelines for
Writing an IANA Considerations Section in RFCs", BCP 26,
RFC 8126, DOI 10.17487/RFC8126, June 2017,
<https://www.rfc-editor.org/info/rfc8126>.
[RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in
RFC 2119 Key Words", BCP 14, RFC 8174,
DOI 10.17487/RFC8174, May 2017,
<https://www.rfc-editor.org/info/rfc8174>.
[RFC8439] Nir, Y. and A. Langley, "ChaCha20 and Poly1305 for IETF
Protocols", RFC 8439, DOI 10.17487/RFC8439, June 2018,
<https://www.rfc-editor.org/info/rfc8439>.
[SHS] Dang, Q., "Secure Hash Standard (SHS)", National Institute
of Standards and Technology report,
DOI 10.6028/NIST.FIPS.180-4, August 2015.
[X690] ITU-T, "Information technology -- ASN.1 encoding rules:
Specification of Basic Encoding Rules (BER), Canonical
Encoding Rules (CER) and Distinguished Encoding Rules
(DER)", ISO/IEC 8825-1:2015, November 2015.
Rescorla Standards Track [Page 111]
^L
RFC 8446 TLS August 2018
12.2. Informative References
[AEAD-LIMITS]
Luykx, A. and K. Paterson, "Limits on Authenticated
Encryption Use in TLS", August 2017,
<http://www.isg.rhul.ac.uk/~kp/TLS-AEbounds.pdf>.
[BBFGKZ16]
Bhargavan, K., Brzuska, C., Fournet, C., Green, M.,
Kohlweiss, M., and S. Zanella-Beguelin, "Downgrade
Resilience in Key-Exchange Protocols", Proceedings of IEEE
Symposium on Security and Privacy (San Jose),
DOI 10.1109/SP.2016.37, May 2016.
[BBK17] Bhargavan, K., Blanchet, B., and N. Kobeissi, "Verified
Models and Reference Implementations for the TLS 1.3
Standard Candidate", Proceedings of IEEE Symposium on
Security and Privacy (San Jose), DOI 10.1109/SP.2017.26,
May 2017.
[BDFKPPRSZZ16]
Bhargavan, K., Delignat-Lavaud, A., Fournet, C.,
Kohlweiss, M., Pan, J., Protzenko, J., Rastogi, A., Swamy,
N., Zanella-Beguelin, S., and J. Zinzindohoue,
"Implementing and Proving the TLS 1.3 Record Layer",
Proceedings of IEEE Symposium on Security and Privacy (San
Jose), May 2017, <https://eprint.iacr.org/2016/1178>.
[Ben17a] Benjamin, D., "Presentation before the TLS WG at
IETF 100", November 2017,
<https://datatracker.ietf.org/meeting/100/materials/
slides-100-tls-sessa-tls13/>.
[Ben17b] Benjamin, D., "Additional TLS 1.3 results from Chrome",
message to the TLS mailing list, 18 December 2017,
<https://www.ietf.org/mail-archive/web/tls/current/
msg25168.html>.
[Blei98] Bleichenbacher, D., "Chosen Ciphertext Attacks against
Protocols Based on RSA Encryption Standard PKCS #1",
Proceedings of CRYPTO '98, 1998.
[BMMRT15] Badertscher, C., Matt, C., Maurer, U., Rogaway, P., and B.
Tackmann, "Augmented Secure Channels and the Goal of the
TLS 1.3 Record Layer", ProvSec 2015, September 2015,
<https://eprint.iacr.org/2015/394>.
Rescorla Standards Track [Page 112]
^L
RFC 8446 TLS August 2018
[BT16] Bellare, M. and B. Tackmann, "The Multi-User Security of
Authenticated Encryption: AES-GCM in TLS 1.3", Proceedings
of CRYPTO 2016, July 2016,
<https://eprint.iacr.org/2016/564>.
[CCG16] Cohn-Gordon, K., Cremers, C., and L. Garratt, "On
Post-compromise Security", IEEE Computer Security
Foundations Symposium, DOI 10.1109/CSF.2016.19, July 2015.
[CHECKOWAY]
Checkoway, S., Maskiewicz, J., Garman, C., Fried, J.,
Cohney, S., Green, M., Heninger, N., Weinmann, R.,
Rescorla, E., and H. Shacham, "A Systematic Analysis of
the Juniper Dual EC Incident", Proceedings of the 2016 ACM
SIGSAC Conference on Computer and Communications Security
- CCS '16, DOI 10.1145/2976749.2978395, October 2016.
[CHHSV17] Cremers, C., Horvat, M., Hoyland, J., Scott, S., and T.
van der Merwe, "Awkward Handshake: Possible mismatch of
client/server view on client authentication in
post-handshake mode in Revision 18", message to the TLS
mailing list, 10 February 2017, <https://www.ietf.org/
mail-archive/web/tls/current/msg22382.html>.
[CHSV16] Cremers, C., Horvat, M., Scott, S., and T. van der Merwe,
"Automated Analysis and Verification of TLS 1.3: 0-RTT,
Resumption and Delayed Authentication", Proceedings of
IEEE Symposium on Security and Privacy (San Jose),
DOI 10.1109/SP.2016.35, May 2016,
<https://ieeexplore.ieee.org/document/7546518/>.
[CK01] Canetti, R. and H. Krawczyk, "Analysis of Key-Exchange
Protocols and Their Use for Building Secure Channels",
Proceedings of Eurocrypt 2001,
DOI 10.1007/3-540-44987-6_28, April 2001.
[CLINIC] Miller, B., Huang, L., Joseph, A., and J. Tygar, "I Know
Why You Went to the Clinic: Risks and Realization of HTTPS
Traffic Analysis", Privacy Enhancing Technologies, pp.
143-163, DOI 10.1007/978-3-319-08506-7_8, 2014.
[DFGS15] Dowling, B., Fischlin, M., Guenther, F., and D. Stebila,
"A Cryptographic Analysis of the TLS 1.3 Handshake
Protocol Candidates", Proceedings of ACM CCS 2015,
October 2015, <https://eprint.iacr.org/2015/914>.
Rescorla Standards Track [Page 113]
^L
RFC 8446 TLS August 2018
[DFGS16] Dowling, B., Fischlin, M., Guenther, F., and D. Stebila,
"A Cryptographic Analysis of the TLS 1.3 Full and
Pre-shared Key Handshake Protocol", TRON 2016,
February 2016, <https://eprint.iacr.org/2016/081>.
[DOW92] Diffie, W., van Oorschot, P., and M. Wiener,
"Authentication and authenticated key exchanges", Designs,
Codes and Cryptography, DOI 10.1007/BF00124891, June 1992.
[DSS] National Institute of Standards and Technology, U.S.
Department of Commerce, "Digital Signature Standard
(DSS)", NIST FIPS PUB 186-4, DOI 10.6028/NIST.FIPS.186-4,
July 2013.
[FG17] Fischlin, M. and F. Guenther, "Replay Attacks on Zero
Round-Trip Time: The Case of the TLS 1.3 Handshake
Candidates", Proceedings of EuroS&P 2017, April 2017,
<https://eprint.iacr.org/2017/082>.
[FGSW16] Fischlin, M., Guenther, F., Schmidt, B., and B. Warinschi,
"Key Confirmation in Key Exchange: A Formal Treatment and
Implications for TLS 1.3", Proceedings of IEEE Symposium
on Security and Privacy (San Jose),
DOI 10.1109/SP.2016.34, May 2016,
<https://ieeexplore.ieee.org/document/7546517/>.
[FW15] Weimer, F., "Factoring RSA Keys With TLS Perfect Forward
Secrecy", September 2015.
[HCJC16] Husak, M., Cermak, M., Jirsik, T., and P. Celeda, "HTTPS
traffic analysis and client identification using passive
SSL/TLS fingerprinting", EURASIP Journal on Information
Security, Vol. 2016, DOI 10.1186/s13635-016-0030-7,
February 2016.
[HGFS15] Hlauschek, C., Gruber, M., Fankhauser, F., and C. Schanes,
"Prying Open Pandora's Box: KCI Attacks against TLS",
Proceedings of USENIX Workshop on Offensive Technologies,
August 2015.
[IEEE1363]
IEEE, "IEEE Standard Specifications for Public Key
Cryptography", IEEE Std. 1363-2000,
DOI 10.1109/IEEESTD.2000.92292.
Rescorla Standards Track [Page 114]
^L
RFC 8446 TLS August 2018
[JSS15] Jager, T., Schwenk, J., and J. Somorovsky, "On the
Security of TLS 1.3 and QUIC Against Weaknesses in PKCS#1
v1.5 Encryption", Proceedings of ACM CCS 2015,
DOI 10.1145/2810103.2813657, October 2015,
<https://www.nds.rub.de/media/nds/
veroeffentlichungen/2015/08/21/Tls13QuicAttacks.pdf>.
[KEYAGREEMENT]
Barker, E., Chen, L., Roginsky, A., Vassilev, A., and R.
Davis, "Recommendation for Pair-Wise Key Establishment
Schemes Using Discrete Logarithm Cryptography", National
Institute of Standards and Technology,
DOI 10.6028/NIST.SP.800-56Ar3, April 2018.
[Kraw10] Krawczyk, H., "Cryptographic Extraction and Key
Derivation: The HKDF Scheme", Proceedings of CRYPTO 2010,
August 2010, <https://eprint.iacr.org/2010/264>.
[Kraw16] Krawczyk, H., "A Unilateral-to-Mutual Authentication
Compiler for Key Exchange (with Applications to Client
Authentication in TLS 1.3", Proceedings of ACM CCS 2016,
October 2016, <https://eprint.iacr.org/2016/711>.
[KW16] Krawczyk, H. and H. Wee, "The OPTLS Protocol and TLS 1.3",
Proceedings of EuroS&P 2016, March 2016,
<https://eprint.iacr.org/2015/978>.
[LXZFH16] Li, X., Xu, J., Zhang, Z., Feng, D., and H. Hu, "Multiple
Handshakes Security of TLS 1.3 Candidates", Proceedings of
IEEE Symposium on Security and Privacy (San Jose),
DOI 10.1109/SP.2016.36, May 2016,
<https://ieeexplore.ieee.org/document/7546519/>.
[Mac17] MacCarthaigh, C., "Security Review of TLS1.3 0-RTT",
March 2017, <https://github.com/tlswg/tls13-spec/
issues/1001>.
[PS18] Patton, C. and T. Shrimpton, "Partially specified
channels: The TLS 1.3 record layer without elision", 2018,
<https://eprint.iacr.org/2018/634>.
[PSK-FINISHED]
Scott, S., Cremers, C., Horvat, M., and T. van der Merwe,
"Revision 10: possible attack if client authentication is
allowed during PSK", message to the TLS mailing list,
31 October 2015, <https://www.ietf.org/
mail-archive/web/tls/current/msg18215.html>.
Rescorla Standards Track [Page 115]
^L
RFC 8446 TLS August 2018
[REKEY] Abdalla, M. and M. Bellare, "Increasing the Lifetime of a
Key: A Comparative Analysis of the Security of Re-keying
Techniques", ASIACRYPT 2000, DOI 10.1007/3-540-44448-3_42,
October 2000.
[Res17a] Rescorla, E., "Preliminary data on Firefox TLS 1.3
Middlebox experiment", message to the TLS mailing list,
5 December 2017, <https://www.ietf.org/
mail-archive/web/tls/current/msg25091.html>.
[Res17b] Rescorla, E., "More compatibility measurement results",
message to the TLS mailing list, 22 December 2017,
<https://www.ietf.org/mail-archive/web/tls/current/
msg25179.html>.
[RFC3552] Rescorla, E. and B. Korver, "Guidelines for Writing RFC
Text on Security Considerations", BCP 72, RFC 3552,
DOI 10.17487/RFC3552, July 2003,
<https://www.rfc-editor.org/info/rfc3552>.
[RFC4086] Eastlake 3rd, D., Schiller, J., and S. Crocker,
"Randomness Requirements for Security", BCP 106, RFC 4086,
DOI 10.17487/RFC4086, June 2005,
<https://www.rfc-editor.org/info/rfc4086>.
[RFC4346] Dierks, T. and E. Rescorla, "The Transport Layer Security
(TLS) Protocol Version 1.1", RFC 4346,
DOI 10.17487/RFC4346, April 2006,
<https://www.rfc-editor.org/info/rfc4346>.
[RFC4366] Blake-Wilson, S., Nystrom, M., Hopwood, D., Mikkelsen, J.,
and T. Wright, "Transport Layer Security (TLS)
Extensions", RFC 4366, DOI 10.17487/RFC4366, April 2006,
<https://www.rfc-editor.org/info/rfc4366>.
[RFC4492] Blake-Wilson, S., Bolyard, N., Gupta, V., Hawk, C., and B.
Moeller, "Elliptic Curve Cryptography (ECC) Cipher Suites
for Transport Layer Security (TLS)", RFC 4492,
DOI 10.17487/RFC4492, May 2006,
<https://www.rfc-editor.org/info/rfc4492>.
[RFC5077] Salowey, J., Zhou, H., Eronen, P., and H. Tschofenig,
"Transport Layer Security (TLS) Session Resumption without
Server-Side State", RFC 5077, DOI 10.17487/RFC5077,
January 2008, <https://www.rfc-editor.org/info/rfc5077>.
Rescorla Standards Track [Page 116]
^L
RFC 8446 TLS August 2018
[RFC5246] Dierks, T. and E. Rescorla, "The Transport Layer Security
(TLS) Protocol Version 1.2", RFC 5246,
DOI 10.17487/RFC5246, August 2008,
<https://www.rfc-editor.org/info/rfc5246>.
[RFC5764] McGrew, D. and E. Rescorla, "Datagram Transport Layer
Security (DTLS) Extension to Establish Keys for the Secure
Real-time Transport Protocol (SRTP)", RFC 5764,
DOI 10.17487/RFC5764, May 2010,
<https://www.rfc-editor.org/info/rfc5764>.
[RFC5929] Altman, J., Williams, N., and L. Zhu, "Channel Bindings
for TLS", RFC 5929, DOI 10.17487/RFC5929, July 2010,
<https://www.rfc-editor.org/info/rfc5929>.
[RFC6091] Mavrogiannopoulos, N. and D. Gillmor, "Using OpenPGP Keys
for Transport Layer Security (TLS) Authentication",
RFC 6091, DOI 10.17487/RFC6091, February 2011,
<https://www.rfc-editor.org/info/rfc6091>.
[RFC6101] Freier, A., Karlton, P., and P. Kocher, "The Secure
Sockets Layer (SSL) Protocol Version 3.0", RFC 6101,
DOI 10.17487/RFC6101, August 2011,
<https://www.rfc-editor.org/info/rfc6101>.
[RFC6176] Turner, S. and T. Polk, "Prohibiting Secure Sockets Layer
(SSL) Version 2.0", RFC 6176, DOI 10.17487/RFC6176,
March 2011, <https://www.rfc-editor.org/info/rfc6176>.
[RFC6347] Rescorla, E. and N. Modadugu, "Datagram Transport Layer
Security Version 1.2", RFC 6347, DOI 10.17487/RFC6347,
January 2012, <https://www.rfc-editor.org/info/rfc6347>.
[RFC6520] Seggelmann, R., Tuexen, M., and M. Williams, "Transport
Layer Security (TLS) and Datagram Transport Layer Security
(DTLS) Heartbeat Extension", RFC 6520,
DOI 10.17487/RFC6520, February 2012,
<https://www.rfc-editor.org/info/rfc6520>.
[RFC7230] Fielding, R., Ed. and J. Reschke, Ed., "Hypertext Transfer
Protocol (HTTP/1.1): Message Syntax and Routing",
RFC 7230, DOI 10.17487/RFC7230, June 2014,
<https://www.rfc-editor.org/info/rfc7230>.
Rescorla Standards Track [Page 117]
^L
RFC 8446 TLS August 2018
[RFC7250] Wouters, P., Ed., Tschofenig, H., Ed., Gilmore, J.,
Weiler, S., and T. Kivinen, "Using Raw Public Keys in
Transport Layer Security (TLS) and Datagram Transport
Layer Security (DTLS)", RFC 7250, DOI 10.17487/RFC7250,
June 2014, <https://www.rfc-editor.org/info/rfc7250>.
[RFC7465] Popov, A., "Prohibiting RC4 Cipher Suites", RFC 7465,
DOI 10.17487/RFC7465, February 2015,
<https://www.rfc-editor.org/info/rfc7465>.
[RFC7568] Barnes, R., Thomson, M., Pironti, A., and A. Langley,
"Deprecating Secure Sockets Layer Version 3.0", RFC 7568,
DOI 10.17487/RFC7568, June 2015,
<https://www.rfc-editor.org/info/rfc7568>.
[RFC7627] Bhargavan, K., Ed., Delignat-Lavaud, A., Pironti, A.,
Langley, A., and M. Ray, "Transport Layer Security (TLS)
Session Hash and Extended Master Secret Extension",
RFC 7627, DOI 10.17487/RFC7627, September 2015,
<https://www.rfc-editor.org/info/rfc7627>.
[RFC7685] Langley, A., "A Transport Layer Security (TLS) ClientHello
Padding Extension", RFC 7685, DOI 10.17487/RFC7685,
October 2015, <https://www.rfc-editor.org/info/rfc7685>.
[RFC7924] Santesson, S. and H. Tschofenig, "Transport Layer Security
(TLS) Cached Information Extension", RFC 7924,
DOI 10.17487/RFC7924, July 2016,
<https://www.rfc-editor.org/info/rfc7924>.
[RFC8305] Schinazi, D. and T. Pauly, "Happy Eyeballs Version 2:
Better Connectivity Using Concurrency", RFC 8305,
DOI 10.17487/RFC8305, December 2017,
<https://www.rfc-editor.org/info/rfc8305>.
[RFC8422] Nir, Y., Josefsson, S., and M. Pegourie-Gonnard, "Elliptic
Curve Cryptography (ECC) Cipher Suites for Transport Layer
Security (TLS) Versions 1.2 and Earlier", RFC 8422,
DOI 10.17487/RFC8422, August 2018,
<https://www.rfc-editor.org/info/rfc8422>.
[RFC8447] Salowey, J. and S. Turner, "IANA Registry Updates for TLS
and DTLS", RFC 8447, DOI 10.17487/RFC8447, August 2018,
<https://www.rfc-editor.org/info/rfc8447>.
[RFC8449] Thomson, M., "Record Size Limit Extension for TLS",
RFC 8449, DOI 10.17487/RFC8449, August 2018,
<https://www.rfc-editor.org/info/rfc8449>.
Rescorla Standards Track [Page 118]
^L
RFC 8446 TLS August 2018
[RSA] Rivest, R., Shamir, A., and L. Adleman, "A Method for
Obtaining Digital Signatures and Public-Key
Cryptosystems", Communications of the ACM, Vol. 21 No. 2,
pp. 120-126, DOI 10.1145/359340.359342, February 1978.
[SIGMA] Krawczyk, H., "SIGMA: The 'SIGn-and-MAc' Approach to
Authenticated Diffie-Hellman and its Use in the IKE
Protocols", Proceedings of CRYPTO 2003,
DOI 10.1007/978-3-540-45146-4_24, August 2003.
[SLOTH] Bhargavan, K. and G. Leurent, "Transcript Collision
Attacks: Breaking Authentication in TLS, IKE, and SSH",
Network and Distributed System Security
Symposium (NDSS 2016), DOI 10.14722/ndss.2016.23418,
February 2016.
[SSL2] Hickman, K., "The SSL Protocol", February 1995.
[TIMING] Boneh, D. and D. Brumley, "Remote Timing Attacks Are
Practical", USENIX Security Symposium, August 2003.
[TLS13-TRACES]
Thomson, M., "Example Handshake Traces for TLS 1.3", Work
in Progress, draft-ietf-tls-tls13-vectors-06, July 2018.
[X501] ITU-T, "Information Technology - Open Systems
Interconnection - The Directory: Models", ITU-T X.501,
October 2016, <https://www.itu.int/rec/T-REC-X.501/en>.
Rescorla Standards Track [Page 119]
^L
RFC 8446 TLS August 2018
Appendix A. State Machine
This appendix provides a summary of the legal state transitions for
the client and server handshakes. State names (in all capitals,
e.g., START) have no formal meaning but are provided for ease of
comprehension. Actions which are taken only in certain circumstances
are indicated in []. The notation "K_{send,recv} = foo" means "set
the send/recv key to the given key".
A.1. Client
START <----+
Send ClientHello | | Recv HelloRetryRequest
[K_send = early data] | |
v |
/ WAIT_SH ----+
| | Recv ServerHello
| | K_recv = handshake
Can | V
send | WAIT_EE
early | | Recv EncryptedExtensions
data | +--------+--------+
| Using | | Using certificate
| PSK | v
| | WAIT_CERT_CR
| | Recv | | Recv CertificateRequest
| | Certificate | v
| | | WAIT_CERT
| | | | Recv Certificate
| | v v
| | WAIT_CV
| | | Recv CertificateVerify
| +> WAIT_FINISHED <+
| | Recv Finished
\ | [Send EndOfEarlyData]
| K_send = handshake
| [Send Certificate [+ CertificateVerify]]
Can send | Send Finished
app data --> | K_send = K_recv = application
after here v
CONNECTED
Note that with the transitions as shown above, clients may send
alerts that derive from post-ServerHello messages in the clear or
with the early data keys. If clients need to send such alerts, they
SHOULD first rekey to the handshake keys if possible.
Rescorla Standards Track [Page 120]
^L
RFC 8446 TLS August 2018
A.2. Server
START <-----+
Recv ClientHello | | Send HelloRetryRequest
v |
RECVD_CH ----+
| Select parameters
v
NEGOTIATED
| Send ServerHello
| K_send = handshake
| Send EncryptedExtensions
| [Send CertificateRequest]
Can send | [Send Certificate + CertificateVerify]
app data | Send Finished
after --> | K_send = application
here +--------+--------+
No 0-RTT | | 0-RTT
| |
K_recv = handshake | | K_recv = early data
[Skip decrypt errors] | +------> WAIT_EOED -+
| | Recv | | Recv EndOfEarlyData
| | early data | | K_recv = handshake
| +------------+ |
| |
+> WAIT_FLIGHT2 <--------+
|
+--------+--------+
No auth | | Client auth
| |
| v
| WAIT_CERT
| Recv | | Recv Certificate
| empty | v
| Certificate | WAIT_CV
| | | Recv
| v | CertificateVerify
+-> WAIT_FINISHED <---+
| Recv Finished
| K_recv = application
v
CONNECTED
Rescorla Standards Track [Page 121]
^L
RFC 8446 TLS August 2018
Appendix B. Protocol Data Structures and Constant Values
This appendix provides the normative protocol types and the
definitions for constants. Values listed as "_RESERVED" were used in
previous versions of TLS and are listed here for completeness.
TLS 1.3 implementations MUST NOT send them but might receive them
from older TLS implementations.
B.1. Record Layer
enum {
invalid(0),
change_cipher_spec(20),
alert(21),
handshake(22),
application_data(23),
heartbeat(24), /* RFC 6520 */
(255)
} ContentType;
struct {
ContentType type;
ProtocolVersion legacy_record_version;
uint16 length;
opaque fragment[TLSPlaintext.length];
} TLSPlaintext;
struct {
opaque content[TLSPlaintext.length];
ContentType type;
uint8 zeros[length_of_padding];
} TLSInnerPlaintext;
struct {
ContentType opaque_type = application_data; /* 23 */
ProtocolVersion legacy_record_version = 0x0303; /* TLS v1.2 */
uint16 length;
opaque encrypted_record[TLSCiphertext.length];
} TLSCiphertext;
Rescorla Standards Track [Page 122]
^L
RFC 8446 TLS August 2018
B.2. Alert Messages
enum { warning(1), fatal(2), (255) } AlertLevel;
enum {
close_notify(0),
unexpected_message(10),
bad_record_mac(20),
decryption_failed_RESERVED(21),
record_overflow(22),
decompression_failure_RESERVED(30),
handshake_failure(40),
no_certificate_RESERVED(41),
bad_certificate(42),
unsupported_certificate(43),
certificate_revoked(44),
certificate_expired(45),
certificate_unknown(46),
illegal_parameter(47),
unknown_ca(48),
access_denied(49),
decode_error(50),
decrypt_error(51),
export_restriction_RESERVED(60),
protocol_version(70),
insufficient_security(71),
internal_error(80),
inappropriate_fallback(86),
user_canceled(90),
no_renegotiation_RESERVED(100),
missing_extension(109),
unsupported_extension(110),
certificate_unobtainable_RESERVED(111),
unrecognized_name(112),
bad_certificate_status_response(113),
bad_certificate_hash_value_RESERVED(114),
unknown_psk_identity(115),
certificate_required(116),
no_application_protocol(120),
(255)
} AlertDescription;
struct {
AlertLevel level;
AlertDescription description;
} Alert;
Rescorla Standards Track [Page 123]
^L
RFC 8446 TLS August 2018
B.3. Handshake Protocol
enum {
hello_request_RESERVED(0),
client_hello(1),
server_hello(2),
hello_verify_request_RESERVED(3),
new_session_ticket(4),
end_of_early_data(5),
hello_retry_request_RESERVED(6),
encrypted_extensions(8),
certificate(11),
server_key_exchange_RESERVED(12),
certificate_request(13),
server_hello_done_RESERVED(14),
certificate_verify(15),
client_key_exchange_RESERVED(16),
finished(20),
certificate_url_RESERVED(21),
certificate_status_RESERVED(22),
supplemental_data_RESERVED(23),
key_update(24),
message_hash(254),
(255)
} HandshakeType;
struct {
HandshakeType msg_type; /* handshake type */
uint24 length; /* bytes in message */
select (Handshake.msg_type) {
case client_hello: ClientHello;
case server_hello: ServerHello;
case end_of_early_data: EndOfEarlyData;
case encrypted_extensions: EncryptedExtensions;
case certificate_request: CertificateRequest;
case certificate: Certificate;
case certificate_verify: CertificateVerify;
case finished: Finished;
case new_session_ticket: NewSessionTicket;
case key_update: KeyUpdate;
};
} Handshake;
Rescorla Standards Track [Page 124]
^L
RFC 8446 TLS August 2018
B.3.1. Key Exchange Messages
uint16 ProtocolVersion;
opaque Random[32];
uint8 CipherSuite[2]; /* Cryptographic suite selector */
struct {
ProtocolVersion legacy_version = 0x0303; /* TLS v1.2 */
Random random;
opaque legacy_session_id<0..32>;
CipherSuite cipher_suites<2..2^16-2>;
opaque legacy_compression_methods<1..2^8-1>;
Extension extensions<8..2^16-1>;
} ClientHello;
struct {
ProtocolVersion legacy_version = 0x0303; /* TLS v1.2 */
Random random;
opaque legacy_session_id_echo<0..32>;
CipherSuite cipher_suite;
uint8 legacy_compression_method = 0;
Extension extensions<6..2^16-1>;
} ServerHello;
Rescorla Standards Track [Page 125]
^L
RFC 8446 TLS August 2018
struct {
ExtensionType extension_type;
opaque extension_data<0..2^16-1>;
} Extension;
enum {
server_name(0), /* RFC 6066 */
max_fragment_length(1), /* RFC 6066 */
status_request(5), /* RFC 6066 */
supported_groups(10), /* RFC 8422, 7919 */
signature_algorithms(13), /* RFC 8446 */
use_srtp(14), /* RFC 5764 */
heartbeat(15), /* RFC 6520 */
application_layer_protocol_negotiation(16), /* RFC 7301 */
signed_certificate_timestamp(18), /* RFC 6962 */
client_certificate_type(19), /* RFC 7250 */
server_certificate_type(20), /* RFC 7250 */
padding(21), /* RFC 7685 */
RESERVED(40), /* Used but never
assigned */
pre_shared_key(41), /* RFC 8446 */
early_data(42), /* RFC 8446 */
supported_versions(43), /* RFC 8446 */
cookie(44), /* RFC 8446 */
psk_key_exchange_modes(45), /* RFC 8446 */
RESERVED(46), /* Used but never
assigned */
certificate_authorities(47), /* RFC 8446 */
oid_filters(48), /* RFC 8446 */
post_handshake_auth(49), /* RFC 8446 */
signature_algorithms_cert(50), /* RFC 8446 */
key_share(51), /* RFC 8446 */
(65535)
} ExtensionType;
struct {
NamedGroup group;
opaque key_exchange<1..2^16-1>;
} KeyShareEntry;
struct {
KeyShareEntry client_shares<0..2^16-1>;
} KeyShareClientHello;
struct {
NamedGroup selected_group;
} KeyShareHelloRetryRequest;
Rescorla Standards Track [Page 126]
^L
RFC 8446 TLS August 2018
struct {
KeyShareEntry server_share;
} KeyShareServerHello;
struct {
uint8 legacy_form = 4;
opaque X[coordinate_length];
opaque Y[coordinate_length];
} UncompressedPointRepresentation;
enum { psk_ke(0), psk_dhe_ke(1), (255) } PskKeyExchangeMode;
struct {
PskKeyExchangeMode ke_modes<1..255>;
} PskKeyExchangeModes;
struct {} Empty;
struct {
select (Handshake.msg_type) {
case new_session_ticket: uint32 max_early_data_size;
case client_hello: Empty;
case encrypted_extensions: Empty;
};
} EarlyDataIndication;
struct {
opaque identity<1..2^16-1>;
uint32 obfuscated_ticket_age;
} PskIdentity;
opaque PskBinderEntry<32..255>;
struct {
PskIdentity identities<7..2^16-1>;
PskBinderEntry binders<33..2^16-1>;
} OfferedPsks;
struct {
select (Handshake.msg_type) {
case client_hello: OfferedPsks;
case server_hello: uint16 selected_identity;
};
} PreSharedKeyExtension;
Rescorla Standards Track [Page 127]
^L
RFC 8446 TLS August 2018
B.3.1.1. Version Extension
struct {
select (Handshake.msg_type) {
case client_hello:
ProtocolVersion versions<2..254>;
case server_hello: /* and HelloRetryRequest */
ProtocolVersion selected_version;
};
} SupportedVersions;
B.3.1.2. Cookie Extension
struct {
opaque cookie<1..2^16-1>;
} Cookie;
Rescorla Standards Track [Page 128]
^L
RFC 8446 TLS August 2018
B.3.1.3. Signature Algorithm Extension
enum {
/* RSASSA-PKCS1-v1_5 algorithms */
rsa_pkcs1_sha256(0x0401),
rsa_pkcs1_sha384(0x0501),
rsa_pkcs1_sha512(0x0601),
/* ECDSA algorithms */
ecdsa_secp256r1_sha256(0x0403),
ecdsa_secp384r1_sha384(0x0503),
ecdsa_secp521r1_sha512(0x0603),
/* RSASSA-PSS algorithms with public key OID rsaEncryption */
rsa_pss_rsae_sha256(0x0804),
rsa_pss_rsae_sha384(0x0805),
rsa_pss_rsae_sha512(0x0806),
/* EdDSA algorithms */
ed25519(0x0807),
ed448(0x0808),
/* RSASSA-PSS algorithms with public key OID RSASSA-PSS */
rsa_pss_pss_sha256(0x0809),
rsa_pss_pss_sha384(0x080a),
rsa_pss_pss_sha512(0x080b),
/* Legacy algorithms */
rsa_pkcs1_sha1(0x0201),
ecdsa_sha1(0x0203),
/* Reserved Code Points */
obsolete_RESERVED(0x0000..0x0200),
dsa_sha1_RESERVED(0x0202),
obsolete_RESERVED(0x0204..0x0400),
dsa_sha256_RESERVED(0x0402),
obsolete_RESERVED(0x0404..0x0500),
dsa_sha384_RESERVED(0x0502),
obsolete_RESERVED(0x0504..0x0600),
dsa_sha512_RESERVED(0x0602),
obsolete_RESERVED(0x0604..0x06FF),
private_use(0xFE00..0xFFFF),
(0xFFFF)
} SignatureScheme;
struct {
SignatureScheme supported_signature_algorithms<2..2^16-2>;
} SignatureSchemeList;
Rescorla Standards Track [Page 129]
^L
RFC 8446 TLS August 2018
B.3.1.4. Supported Groups Extension
enum {
unallocated_RESERVED(0x0000),
/* Elliptic Curve Groups (ECDHE) */
obsolete_RESERVED(0x0001..0x0016),
secp256r1(0x0017), secp384r1(0x0018), secp521r1(0x0019),
obsolete_RESERVED(0x001A..0x001C),
x25519(0x001D), x448(0x001E),
/* Finite Field Groups (DHE) */
ffdhe2048(0x0100), ffdhe3072(0x0101), ffdhe4096(0x0102),
ffdhe6144(0x0103), ffdhe8192(0x0104),
/* Reserved Code Points */
ffdhe_private_use(0x01FC..0x01FF),
ecdhe_private_use(0xFE00..0xFEFF),
obsolete_RESERVED(0xFF01..0xFF02),
(0xFFFF)
} NamedGroup;
struct {
NamedGroup named_group_list<2..2^16-1>;
} NamedGroupList;
Values within "obsolete_RESERVED" ranges are used in previous
versions of TLS and MUST NOT be offered or negotiated by TLS 1.3
implementations. The obsolete curves have various known/theoretical
weaknesses or have had very little usage, in some cases only due to
unintentional server configuration issues. They are no longer
considered appropriate for general use and should be assumed to be
potentially unsafe. The set of curves specified here is sufficient
for interoperability with all currently deployed and properly
configured TLS implementations.
Rescorla Standards Track [Page 130]
^L
RFC 8446 TLS August 2018
B.3.2. Server Parameters Messages
opaque DistinguishedName<1..2^16-1>;
struct {
DistinguishedName authorities<3..2^16-1>;
} CertificateAuthoritiesExtension;
struct {
opaque certificate_extension_oid<1..2^8-1>;
opaque certificate_extension_values<0..2^16-1>;
} OIDFilter;
struct {
OIDFilter filters<0..2^16-1>;
} OIDFilterExtension;
struct {} PostHandshakeAuth;
struct {
Extension extensions<0..2^16-1>;
} EncryptedExtensions;
struct {
opaque certificate_request_context<0..2^8-1>;
Extension extensions<2..2^16-1>;
} CertificateRequest;
Rescorla Standards Track [Page 131]
^L
RFC 8446 TLS August 2018
B.3.3. Authentication Messages
enum {
X509(0),
OpenPGP_RESERVED(1),
RawPublicKey(2),
(255)
} CertificateType;
struct {
select (certificate_type) {
case RawPublicKey:
/* From RFC 7250 ASN.1_subjectPublicKeyInfo */
opaque ASN1_subjectPublicKeyInfo<1..2^24-1>;
case X509:
opaque cert_data<1..2^24-1>;
};
Extension extensions<0..2^16-1>;
} CertificateEntry;
struct {
opaque certificate_request_context<0..2^8-1>;
CertificateEntry certificate_list<0..2^24-1>;
} Certificate;
struct {
SignatureScheme algorithm;
opaque signature<0..2^16-1>;
} CertificateVerify;
struct {
opaque verify_data[Hash.length];
} Finished;
B.3.4. Ticket Establishment
struct {
uint32 ticket_lifetime;
uint32 ticket_age_add;
opaque ticket_nonce<0..255>;
opaque ticket<1..2^16-1>;
Extension extensions<0..2^16-2>;
} NewSessionTicket;
Rescorla Standards Track [Page 132]
^L
RFC 8446 TLS August 2018
B.3.5. Updating Keys
struct {} EndOfEarlyData;
enum {
update_not_requested(0), update_requested(1), (255)
} KeyUpdateRequest;
struct {
KeyUpdateRequest request_update;
} KeyUpdate;
B.4. Cipher Suites
A symmetric cipher suite defines the pair of the AEAD algorithm and
hash algorithm to be used with HKDF. Cipher suite names follow the
naming convention:
CipherSuite TLS_AEAD_HASH = VALUE;
+-----------+------------------------------------------------+
| Component | Contents |
+-----------+------------------------------------------------+
| TLS | The string "TLS" |
| | |
| AEAD | The AEAD algorithm used for record protection |
| | |
| HASH | The hash algorithm used with HKDF |
| | |
| VALUE | The two-byte ID assigned for this cipher suite |
+-----------+------------------------------------------------+
This specification defines the following cipher suites for use with
TLS 1.3.
+------------------------------+-------------+
| Description | Value |
+------------------------------+-------------+
| TLS_AES_128_GCM_SHA256 | {0x13,0x01} |
| | |
| TLS_AES_256_GCM_SHA384 | {0x13,0x02} |
| | |
| TLS_CHACHA20_POLY1305_SHA256 | {0x13,0x03} |
| | |
| TLS_AES_128_CCM_SHA256 | {0x13,0x04} |
| | |
| TLS_AES_128_CCM_8_SHA256 | {0x13,0x05} |
+------------------------------+-------------+
Rescorla Standards Track [Page 133]
^L
RFC 8446 TLS August 2018
The corresponding AEAD algorithms AEAD_AES_128_GCM, AEAD_AES_256_GCM,
and AEAD_AES_128_CCM are defined in [RFC5116].
AEAD_CHACHA20_POLY1305 is defined in [RFC8439]. AEAD_AES_128_CCM_8
is defined in [RFC6655]. The corresponding hash algorithms are
defined in [SHS].
Although TLS 1.3 uses the same cipher suite space as previous
versions of TLS, TLS 1.3 cipher suites are defined differently, only
specifying the symmetric ciphers, and cannot be used for TLS 1.2.
Similarly, cipher suites for TLS 1.2 and lower cannot be used with
TLS 1.3.
New cipher suite values are assigned by IANA as described in
Section 11.
Appendix C. Implementation Notes
The TLS protocol cannot prevent many common security mistakes. This
appendix provides several recommendations to assist implementors.
[TLS13-TRACES] provides test vectors for TLS 1.3 handshakes.
C.1. Random Number Generation and Seeding
TLS requires a cryptographically secure pseudorandom number generator
(CSPRNG). In most cases, the operating system provides an
appropriate facility such as /dev/urandom, which should be used
absent other (e.g., performance) concerns. It is RECOMMENDED to use
an existing CSPRNG implementation in preference to crafting a new
one. Many adequate cryptographic libraries are already available
under favorable license terms. Should those prove unsatisfactory,
[RFC4086] provides guidance on the generation of random values.
TLS uses random values (1) in public protocol fields such as the
public Random values in the ClientHello and ServerHello and (2) to
generate keying material. With a properly functioning CSPRNG, this
does not present a security problem, as it is not feasible to
determine the CSPRNG state from its output. However, with a broken
CSPRNG, it may be possible for an attacker to use the public output
to determine the CSPRNG internal state and thereby predict the keying
material, as documented in [CHECKOWAY]. Implementations can provide
extra security against this form of attack by using separate CSPRNGs
to generate public and private values.
Rescorla Standards Track [Page 134]
^L
RFC 8446 TLS August 2018
C.2. Certificates and Authentication
Implementations are responsible for verifying the integrity of
certificates and should generally support certificate revocation
messages. Absent a specific indication from an application profile,
certificates should always be verified to ensure proper signing by a
trusted certificate authority (CA). The selection and addition of
trust anchors should be done very carefully. Users should be able to
view information about the certificate and trust anchor.
Applications SHOULD also enforce minimum and maximum key sizes. For
example, certification paths containing keys or signatures weaker
than 2048-bit RSA or 224-bit ECDSA are not appropriate for secure
applications.
C.3. Implementation Pitfalls
Implementation experience has shown that certain parts of earlier TLS
specifications are not easy to understand and have been a source of
interoperability and security problems. Many of these areas have
been clarified in this document, but this appendix contains a short
list of the most important things that require special attention from
implementors.
TLS protocol issues:
- Do you correctly handle handshake messages that are fragmented to
multiple TLS records (see Section 5.1)? Do you correctly handle
corner cases like a ClientHello that is split into several small
fragments? Do you fragment handshake messages that exceed the
maximum fragment size? In particular, the Certificate and
CertificateRequest handshake messages can be large enough to
require fragmentation.
- Do you ignore the TLS record layer version number in all
unencrypted TLS records (see Appendix D)?
- Have you ensured that all support for SSL, RC4, EXPORT ciphers,
and MD5 (via the "signature_algorithms" extension) is completely
removed from all possible configurations that support TLS 1.3 or
later, and that attempts to use these obsolete capabilities fail
correctly (see Appendix D)?
- Do you handle TLS extensions in ClientHellos correctly, including
unknown extensions?
Rescorla Standards Track [Page 135]
^L
RFC 8446 TLS August 2018
- When the server has requested a client certificate but no suitable
certificate is available, do you correctly send an empty
Certificate message, instead of omitting the whole message (see
Section 4.4.2)?
- When processing the plaintext fragment produced by AEAD-Decrypt
and scanning from the end for the ContentType, do you avoid
scanning past the start of the cleartext in the event that the
peer has sent a malformed plaintext of all zeros?
- Do you properly ignore unrecognized cipher suites (Section 4.1.2),
hello extensions (Section 4.2), named groups (Section 4.2.7), key
shares (Section 4.2.8), supported versions (Section 4.2.1), and
signature algorithms (Section 4.2.3) in the ClientHello?
- As a server, do you send a HelloRetryRequest to clients which
support a compatible (EC)DHE group but do not predict it in the
"key_share" extension? As a client, do you correctly handle a
HelloRetryRequest from the server?
Cryptographic details:
- What countermeasures do you use to prevent timing attacks
[TIMING]?
- When using Diffie-Hellman key exchange, do you correctly preserve
leading zero bytes in the negotiated key (see Section 7.4.1)?
- Does your TLS client check that the Diffie-Hellman parameters sent
by the server are acceptable (see Section 4.2.8.1)?
- Do you use a strong and, most importantly, properly seeded random
number generator (see Appendix C.1) when generating Diffie-Hellman
private values, the ECDSA "k" parameter, and other security-
critical values? It is RECOMMENDED that implementations implement
"deterministic ECDSA" as specified in [RFC6979].
- Do you zero-pad Diffie-Hellman public key values and shared
secrets to the group size (see Section 4.2.8.1 and Section 7.4.1)?
- Do you verify signatures after making them, to protect against
RSA-CRT key leaks [FW15]?
Rescorla Standards Track [Page 136]
^L
RFC 8446 TLS August 2018
C.4. Client Tracking Prevention
Clients SHOULD NOT reuse a ticket for multiple connections. Reuse of
a ticket allows passive observers to correlate different connections.
Servers that issue tickets SHOULD offer at least as many tickets as
the number of connections that a client might use; for example, a web
browser using HTTP/1.1 [RFC7230] might open six connections to a
server. Servers SHOULD issue new tickets with every connection.
This ensures that clients are always able to use a new ticket when
creating a new connection.
C.5. Unauthenticated Operation
Previous versions of TLS offered explicitly unauthenticated cipher
suites based on anonymous Diffie-Hellman. These modes have been
deprecated in TLS 1.3. However, it is still possible to negotiate
parameters that do not provide verifiable server authentication by
several methods, including:
- Raw public keys [RFC7250].
- Using a public key contained in a certificate but without
validation of the certificate chain or any of its contents.
Either technique used alone is vulnerable to man-in-the-middle
attacks and therefore unsafe for general use. However, it is also
possible to bind such connections to an external authentication
mechanism via out-of-band validation of the server's public key,
trust on first use, or a mechanism such as channel bindings (though
the channel bindings described in [RFC5929] are not defined for
TLS 1.3). If no such mechanism is used, then the connection has no
protection against active man-in-the-middle attack; applications
MUST NOT use TLS in such a way absent explicit configuration or a
specific application profile.
Rescorla Standards Track [Page 137]
^L
RFC 8446 TLS August 2018
Appendix D. Backward Compatibility
The TLS protocol provides a built-in mechanism for version
negotiation between endpoints potentially supporting different
versions of TLS.
TLS 1.x and SSL 3.0 use compatible ClientHello messages. Servers can
also handle clients trying to use future versions of TLS as long as
the ClientHello format remains compatible and there is at least one
protocol version supported by both the client and the server.
Prior versions of TLS used the record layer version number
(TLSPlaintext.legacy_record_version and
TLSCiphertext.legacy_record_version) for various purposes. As of
TLS 1.3, this field is deprecated. The value of
TLSPlaintext.legacy_record_version MUST be ignored by all
implementations. The value of TLSCiphertext.legacy_record_version is
included in the additional data for deprotection but MAY otherwise be
ignored or MAY be validated to match the fixed constant value.
Version negotiation is performed using only the handshake versions
(ClientHello.legacy_version and ServerHello.legacy_version, as well
as the ClientHello, HelloRetryRequest, and ServerHello
"supported_versions" extensions). In order to maximize
interoperability with older endpoints, implementations that negotiate
the use of TLS 1.0-1.2 SHOULD set the record layer version number to
the negotiated version for the ServerHello and all records
thereafter.
For maximum compatibility with previously non-standard behavior and
misconfigured deployments, all implementations SHOULD support
validation of certification paths based on the expectations in this
document, even when handling prior TLS versions' handshakes (see
Section 4.4.2.2).
TLS 1.2 and prior supported an "Extended Master Secret" [RFC7627]
extension which digested large parts of the handshake transcript into
the master secret. Because TLS 1.3 always hashes in the transcript
up to the server Finished, implementations which support both TLS 1.3
and earlier versions SHOULD indicate the use of the Extended Master
Secret extension in their APIs whenever TLS 1.3 is used.
Rescorla Standards Track [Page 138]
^L
RFC 8446 TLS August 2018
D.1. Negotiating with an Older Server
A TLS 1.3 client who wishes to negotiate with servers that do not
support TLS 1.3 will send a normal TLS 1.3 ClientHello containing
0x0303 (TLS 1.2) in ClientHello.legacy_version but with the correct
version(s) in the "supported_versions" extension. If the server does
not support TLS 1.3, it will respond with a ServerHello containing an
older version number. If the client agrees to use this version, the
negotiation will proceed as appropriate for the negotiated protocol.
A client using a ticket for resumption SHOULD initiate the connection
using the version that was previously negotiated.
Note that 0-RTT data is not compatible with older servers and
SHOULD NOT be sent absent knowledge that the server supports TLS 1.3.
See Appendix D.3.
If the version chosen by the server is not supported by the client
(or is not acceptable), the client MUST abort the handshake with a
"protocol_version" alert.
Some legacy server implementations are known to not implement the TLS
specification properly and might abort connections upon encountering
TLS extensions or versions which they are not aware of.
Interoperability with buggy servers is a complex topic beyond the
scope of this document. Multiple connection attempts may be required
in order to negotiate a backward-compatible connection; however, this
practice is vulnerable to downgrade attacks and is NOT RECOMMENDED.
D.2. Negotiating with an Older Client
A TLS server can also receive a ClientHello indicating a version
number smaller than its highest supported version. If the
"supported_versions" extension is present, the server MUST negotiate
using that extension as described in Section 4.2.1. If the
"supported_versions" extension is not present, the server MUST
negotiate the minimum of ClientHello.legacy_version and TLS 1.2. For
example, if the server supports TLS 1.0, 1.1, and 1.2, and
legacy_version is TLS 1.0, the server will proceed with a TLS 1.0
ServerHello. If the "supported_versions" extension is absent and the
server only supports versions greater than
ClientHello.legacy_version, the server MUST abort the handshake with
a "protocol_version" alert.
Note that earlier versions of TLS did not clearly specify the record
layer version number value in all cases
(TLSPlaintext.legacy_record_version). Servers will receive various
TLS 1.x versions in this field, but its value MUST always be ignored.
Rescorla Standards Track [Page 139]
^L
RFC 8446 TLS August 2018
D.3. 0-RTT Backward Compatibility
0-RTT data is not compatible with older servers. An older server
will respond to the ClientHello with an older ServerHello, but it
will not correctly skip the 0-RTT data and will fail to complete the
handshake. This can cause issues when a client attempts to use
0-RTT, particularly against multi-server deployments. For example, a
deployment could deploy TLS 1.3 gradually with some servers
implementing TLS 1.3 and some implementing TLS 1.2, or a TLS 1.3
deployment could be downgraded to TLS 1.2.
A client that attempts to send 0-RTT data MUST fail a connection if
it receives a ServerHello with TLS 1.2 or older. It can then retry
the connection with 0-RTT disabled. To avoid a downgrade attack, the
client SHOULD NOT disable TLS 1.3, only 0-RTT.
To avoid this error condition, multi-server deployments SHOULD ensure
a uniform and stable deployment of TLS 1.3 without 0-RTT prior to
enabling 0-RTT.
D.4. Middlebox Compatibility Mode
Field measurements [Ben17a] [Ben17b] [Res17a] [Res17b] have found
that a significant number of middleboxes misbehave when a TLS
client/server pair negotiates TLS 1.3. Implementations can increase
the chance of making connections through those middleboxes by making
the TLS 1.3 handshake look more like a TLS 1.2 handshake:
- The client always provides a non-empty session ID in the
ClientHello, as described in the legacy_session_id section of
Section 4.1.2.
- If not offering early data, the client sends a dummy
change_cipher_spec record (see the third paragraph of Section 5)
immediately before its second flight. This may either be before
its second ClientHello or before its encrypted handshake flight.
If offering early data, the record is placed immediately after the
first ClientHello.
- The server sends a dummy change_cipher_spec record immediately
after its first handshake message. This may either be after a
ServerHello or a HelloRetryRequest.
When put together, these changes make the TLS 1.3 handshake resemble
TLS 1.2 session resumption, which improves the chance of successfully
connecting through middleboxes. This "compatibility mode" is
partially negotiated: the client can opt to provide a session ID or
not, and the server has to echo it. Either side can send
Rescorla Standards Track [Page 140]
^L
RFC 8446 TLS August 2018
change_cipher_spec at any time during the handshake, as they must be
ignored by the peer, but if the client sends a non-empty session ID,
the server MUST send the change_cipher_spec as described in this
appendix.
D.5. Security Restrictions Related to Backward Compatibility
Implementations negotiating the use of older versions of TLS SHOULD
prefer forward secret and AEAD cipher suites, when available.
The security of RC4 cipher suites is considered insufficient for the
reasons cited in [RFC7465]. Implementations MUST NOT offer or
negotiate RC4 cipher suites for any version of TLS for any reason.
Old versions of TLS permitted the use of very low strength ciphers.
Ciphers with a strength less than 112 bits MUST NOT be offered or
negotiated for any version of TLS for any reason.
The security of SSL 3.0 [RFC6101] is considered insufficient for the
reasons enumerated in [RFC7568], and it MUST NOT be negotiated for
any reason.
The security of SSL 2.0 [SSL2] is considered insufficient for the
reasons enumerated in [RFC6176], and it MUST NOT be negotiated for
any reason.
Implementations MUST NOT send an SSL version 2.0 compatible
CLIENT-HELLO. Implementations MUST NOT negotiate TLS 1.3 or later
using an SSL version 2.0 compatible CLIENT-HELLO. Implementations
are NOT RECOMMENDED to accept an SSL version 2.0 compatible
CLIENT-HELLO in order to negotiate older versions of TLS.
Implementations MUST NOT send a ClientHello.legacy_version or
ServerHello.legacy_version set to 0x0300 or less. Any endpoint
receiving a Hello message with ClientHello.legacy_version or
ServerHello.legacy_version set to 0x0300 MUST abort the handshake
with a "protocol_version" alert.
Implementations MUST NOT send any records with a version less than
0x0300. Implementations SHOULD NOT accept any records with a version
less than 0x0300 (but may inadvertently do so if the record version
number is ignored completely).
Implementations MUST NOT use the Truncated HMAC extension, defined in
Section 7 of [RFC6066], as it is not applicable to AEAD algorithms
and has been shown to be insecure in some scenarios.
Rescorla Standards Track [Page 141]
^L
RFC 8446 TLS August 2018
Appendix E. Overview of Security Properties
A complete security analysis of TLS is outside the scope of this
document. In this appendix, we provide an informal description of
the desired properties as well as references to more detailed work in
the research literature which provides more formal definitions.
We cover properties of the handshake separately from those of the
record layer.
E.1. Handshake
The TLS handshake is an Authenticated Key Exchange (AKE) protocol
which is intended to provide both one-way authenticated (server-only)
and mutually authenticated (client and server) functionality. At the
completion of the handshake, each side outputs its view of the
following values:
- A set of "session keys" (the various secrets derived from the
master secret) from which can be derived a set of working keys.
- A set of cryptographic parameters (algorithms, etc.).
- The identities of the communicating parties.
We assume the attacker to be an active network attacker, which means
it has complete control over the network used to communicate between
the parties [RFC3552]. Even under these conditions, the handshake
should provide the properties listed below. Note that these
properties are not necessarily independent, but reflect the protocol
consumers' needs.
Establishing the same session keys: The handshake needs to output
the same set of session keys on both sides of the handshake,
provided that it completes successfully on each endpoint (see
[CK01], Definition 1, part 1).
Secrecy of the session keys: The shared session keys should be known
only to the communicating parties and not to the attacker (see
[CK01], Definition 1, part 2). Note that in a unilaterally
authenticated connection, the attacker can establish its own
session keys with the server, but those session keys are distinct
from those established by the client.
Peer authentication: The client's view of the peer identity should
reflect the server's identity. If the client is authenticated,
the server's view of the peer identity should match the client's
identity.
Rescorla Standards Track [Page 142]
^L
RFC 8446 TLS August 2018
Uniqueness of the session keys: Any two distinct handshakes should
produce distinct, unrelated session keys. Individual session keys
produced by a handshake should also be distinct and independent.
Downgrade protection: The cryptographic parameters should be the
same on both sides and should be the same as if the peers had been
communicating in the absence of an attack (see [BBFGKZ16],
Definitions 8 and 9).
Forward secret with respect to long-term keys: If the long-term
keying material (in this case the signature keys in certificate-
based authentication modes or the external/resumption PSK in PSK
with (EC)DHE modes) is compromised after the handshake is
complete, this does not compromise the security of the session key
(see [DOW92]), as long as the session key itself has been erased.
The forward secrecy property is not satisfied when PSK is used in
the "psk_ke" PskKeyExchangeMode.
Key Compromise Impersonation (KCI) resistance: In a mutually
authenticated connection with certificates, compromising the
long-term secret of one actor should not break that actor's
authentication of their peer in the given connection (see
[HGFS15]). For example, if a client's signature key is
compromised, it should not be possible to impersonate arbitrary
servers to that client in subsequent handshakes.
Protection of endpoint identities: The server's identity
(certificate) should be protected against passive attackers. The
client's identity should be protected against both passive and
active attackers.
Informally, the signature-based modes of TLS 1.3 provide for the
establishment of a unique, secret, shared key established by an
(EC)DHE key exchange and authenticated by the server's signature over
the handshake transcript, as well as tied to the server's identity by
a MAC. If the client is authenticated by a certificate, it also
signs over the handshake transcript and provides a MAC tied to both
identities. [SIGMA] describes the design and analysis of this type
of key exchange protocol. If fresh (EC)DHE keys are used for each
connection, then the output keys are forward secret.
The external PSK and resumption PSK bootstrap from a long-term shared
secret into a unique per-connection set of short-term session keys.
This secret may have been established in a previous handshake. If
PSK with (EC)DHE key establishment is used, these session keys will
also be forward secret. The resumption PSK has been designed so that
the resumption master secret computed by connection N and needed to
form connection N+1 is separate from the traffic keys used by
Rescorla Standards Track [Page 143]
^L
RFC 8446 TLS August 2018
connection N, thus providing forward secrecy between the connections.
In addition, if multiple tickets are established on the same
connection, they are associated with different keys, so compromise of
the PSK associated with one ticket does not lead to the compromise of
connections established with PSKs associated with other tickets.
This property is most interesting if tickets are stored in a database
(and so can be deleted) rather than if they are self-encrypted.
The PSK binder value forms a binding between a PSK and the current
handshake, as well as between the session where the PSK was
established and the current session. This binding transitively
includes the original handshake transcript, because that transcript
is digested into the values which produce the resumption master
secret. This requires that both the KDF used to produce the
resumption master secret and the MAC used to compute the binder be
collision resistant. See Appendix E.1.1 for more on this. Note: The
binder does not cover the binder values from other PSKs, though they
are included in the Finished MAC.
TLS does not currently permit the server to send a
certificate_request message in non-certificate-based handshakes
(e.g., PSK). If this restriction were to be relaxed in future, the
client's signature would not cover the server's certificate directly.
However, if the PSK was established through a NewSessionTicket, the
client's signature would transitively cover the server's certificate
through the PSK binder. [PSK-FINISHED] describes a concrete attack
on constructions that do not bind to the server's certificate (see
also [Kraw16]). It is unsafe to use certificate-based client
authentication when the client might potentially share the same
PSK/key-id pair with two different endpoints. Implementations
MUST NOT combine external PSKs with certificate-based authentication
of either the client or the server unless negotiated by some
extension.
If an exporter is used, then it produces values which are unique and
secret (because they are generated from a unique session key).
Exporters computed with different labels and contexts are
computationally independent, so it is not feasible to compute one
from another or the session secret from the exported value.
Note: Exporters can produce arbitrary-length values; if exporters are
to be used as channel bindings, the exported value MUST be large
enough to provide collision resistance. The exporters provided in
TLS 1.3 are derived from the same Handshake Contexts as the early
traffic keys and the application traffic keys, respectively, and thus
have similar security properties. Note that they do not include the
client's certificate; future applications which wish to bind to the
client's certificate may need to define a new exporter that includes
the full handshake transcript.
Rescorla Standards Track [Page 144]
^L
RFC 8446 TLS August 2018
For all handshake modes, the Finished MAC (and, where present, the
signature) prevents downgrade attacks. In addition, the use of
certain bytes in the random nonces as described in Section 4.1.3
allows the detection of downgrade to previous TLS versions. See
[BBFGKZ16] for more details on TLS 1.3 and downgrade.
As soon as the client and the server have exchanged enough
information to establish shared keys, the remainder of the handshake
is encrypted, thus providing protection against passive attackers,
even if the computed shared key is not authenticated. Because the
server authenticates before the client, the client can ensure that if
it authenticates to the server, it only reveals its identity to an
authenticated server. Note that implementations must use the
provided record-padding mechanism during the handshake to avoid
leaking information about the identities due to length. The client's
proposed PSK identities are not encrypted, nor is the one that the
server selects.
E.1.1. Key Derivation and HKDF
Key derivation in TLS 1.3 uses HKDF as defined in [RFC5869] and its
two components, HKDF-Extract and HKDF-Expand. The full rationale for
the HKDF construction can be found in [Kraw10] and the rationale for
the way it is used in TLS 1.3 in [KW16]. Throughout this document,
each application of HKDF-Extract is followed by one or more
invocations of HKDF-Expand. This ordering should always be followed
(including in future revisions of this document); in particular, one
SHOULD NOT use an output of HKDF-Extract as an input to another
application of HKDF-Extract without an HKDF-Expand in between.
Multiple applications of HKDF-Expand to some of the same inputs are
allowed as long as these are differentiated via the key and/or the
labels.
Note that HKDF-Expand implements a pseudorandom function (PRF) with
both inputs and outputs of variable length. In some of the uses of
HKDF in this document (e.g., for generating exporters and the
resumption_master_secret), it is necessary that the application of
HKDF-Expand be collision resistant; namely, it should be infeasible
to find two different inputs to HKDF-Expand that output the same
value. This requires the underlying hash function to be collision
resistant and the output length from HKDF-Expand to be of size at
least 256 bits (or as much as needed for the hash function to prevent
finding collisions).
Rescorla Standards Track [Page 145]
^L
RFC 8446 TLS August 2018
E.1.2. Client Authentication
A client that has sent authentication data to a server, either during
the handshake or in post-handshake authentication, cannot be sure
whether the server afterwards considers the client to be
authenticated or not. If the client needs to determine if the server
considers the connection to be unilaterally or mutually
authenticated, this has to be provisioned by the application layer.
See [CHHSV17] for details. In addition, the analysis of
post-handshake authentication from [Kraw16] shows that the client
identified by the certificate sent in the post-handshake phase
possesses the traffic key. This party is therefore the client that
participated in the original handshake or one to whom the original
client delegated the traffic key (assuming that the traffic key has
not been compromised).
E.1.3. 0-RTT
The 0-RTT mode of operation generally provides security properties
similar to those of 1-RTT data, with the two exceptions that the
0-RTT encryption keys do not provide full forward secrecy and that
the server is not able to guarantee uniqueness of the handshake
(non-replayability) without keeping potentially undue amounts of
state. See Section 8 for mechanisms to limit the exposure to replay.
E.1.4. Exporter Independence
The exporter_master_secret and early_exporter_master_secret are
derived to be independent of the traffic keys and therefore do not
represent a threat to the security of traffic encrypted with those
keys. However, because these secrets can be used to compute any
exporter value, they SHOULD be erased as soon as possible. If the
total set of exporter labels is known, then implementations SHOULD
pre-compute the inner Derive-Secret stage of the exporter computation
for all those labels, then erase the [early_]exporter_master_secret,
followed by each inner value as soon as it is known that it will not
be needed again.
E.1.5. Post-Compromise Security
TLS does not provide security for handshakes which take place after
the peer's long-term secret (signature key or external PSK) is
compromised. It therefore does not provide post-compromise security
[CCG16], sometimes also referred to as backward or future secrecy.
This is in contrast to KCI resistance, which describes the security
guarantees that a party has after its own long-term secret has been
compromised.
Rescorla Standards Track [Page 146]
^L
RFC 8446 TLS August 2018
E.1.6. External References
The reader should refer to the following references for analysis of
the TLS handshake: [DFGS15], [CHSV16], [DFGS16], [KW16], [Kraw16],
[FGSW16], [LXZFH16], [FG17], and [BBK17].
E.2. Record Layer
The record layer depends on the handshake producing strong traffic
secrets which can be used to derive bidirectional encryption keys and
nonces. Assuming that is true, and the keys are used for no more
data than indicated in Section 5.5, then the record layer should
provide the following guarantees:
Confidentiality: An attacker should not be able to determine the
plaintext contents of a given record.
Integrity: An attacker should not be able to craft a new record
which is different from an existing record which will be accepted
by the receiver.
Order protection/non-replayability: An attacker should not be able
to cause the receiver to accept a record which it has already
accepted or cause the receiver to accept record N+1 without having
first processed record N.
Length concealment: Given a record with a given external length, the
attacker should not be able to determine the amount of the record
that is content versus padding.
Forward secrecy after key change: If the traffic key update
mechanism described in Section 4.6.3 has been used and the
previous generation key is deleted, an attacker who compromises
the endpoint should not be able to decrypt traffic encrypted with
the old key.
Informally, TLS 1.3 provides these properties by AEAD-protecting the
plaintext with a strong key. AEAD encryption [RFC5116] provides
confidentiality and integrity for the data. Non-replayability is
provided by using a separate nonce for each record, with the nonce
being derived from the record sequence number (Section 5.3), with the
sequence number being maintained independently at both sides; thus,
records which are delivered out of order result in AEAD deprotection
failures. In order to prevent mass cryptanalysis when the same
plaintext is repeatedly encrypted by different users under the same
key (as is commonly the case for HTTP), the nonce is formed by mixing
Rescorla Standards Track [Page 147]
^L
RFC 8446 TLS August 2018
the sequence number with a secret per-connection initialization
vector derived along with the traffic keys. See [BT16] for analysis
of this construction.
The rekeying technique in TLS 1.3 (see Section 7.2) follows the
construction of the serial generator as discussed in [REKEY], which
shows that rekeying can allow keys to be used for a larger number of
encryptions than without rekeying. This relies on the security of
the HKDF-Expand-Label function as a pseudorandom function (PRF). In
addition, as long as this function is truly one way, it is not
possible to compute traffic keys from prior to a key change (forward
secrecy).
TLS does not provide security for data which is communicated on a
connection after a traffic secret of that connection is compromised.
That is, TLS does not provide post-compromise security/future
secrecy/backward secrecy with respect to the traffic secret. Indeed,
an attacker who learns a traffic secret can compute all future
traffic secrets on that connection. Systems which want such
guarantees need to do a fresh handshake and establish a new
connection with an (EC)DHE exchange.
E.2.1. External References
The reader should refer to the following references for analysis of
the TLS record layer: [BMMRT15], [BT16], [BDFKPPRSZZ16], [BBK17], and
[PS18].
E.3. Traffic Analysis
TLS is susceptible to a variety of traffic analysis attacks based on
observing the length and timing of encrypted packets [CLINIC]
[HCJC16]. This is particularly easy when there is a small set of
possible messages to be distinguished, such as for a video server
hosting a fixed corpus of content, but still provides usable
information even in more complicated scenarios.
TLS does not provide any specific defenses against this form of
attack but does include a padding mechanism for use by applications:
The plaintext protected by the AEAD function consists of content plus
variable-length padding, which allows the application to produce
arbitrary-length encrypted records as well as padding-only cover
traffic to conceal the difference between periods of transmission and
periods of silence. Because the padding is encrypted alongside the
actual content, an attacker cannot directly determine the length of
the padding but may be able to measure it indirectly by the use of
timing channels exposed during record processing (i.e., seeing how
long it takes to process a record or trickling in records to see
Rescorla Standards Track [Page 148]
^L
RFC 8446 TLS August 2018
which ones elicit a response from the server). In general, it is not
known how to remove all of these channels because even a
constant-time padding removal function will likely feed the content
into data-dependent functions. At minimum, a fully constant-time
server or client would require close cooperation with the
application-layer protocol implementation, including making that
higher-level protocol constant time.
Note: Robust traffic analysis defenses will likely lead to inferior
performance due to delays in transmitting packets and increased
traffic volume.
E.4. Side-Channel Attacks
In general, TLS does not have specific defenses against side-channel
attacks (i.e., those which attack the communications via secondary
channels such as timing), leaving those to the implementation of the
relevant cryptographic primitives. However, certain features of TLS
are designed to make it easier to write side-channel resistant code:
- Unlike previous versions of TLS which used a composite MAC-then-
encrypt structure, TLS 1.3 only uses AEAD algorithms, allowing
implementations to use self-contained constant-time
implementations of those primitives.
- TLS uses a uniform "bad_record_mac" alert for all decryption
errors, which is intended to prevent an attacker from gaining
piecewise insight into portions of the message. Additional
resistance is provided by terminating the connection on such
errors; a new connection will have different cryptographic
material, preventing attacks against the cryptographic primitives
that require multiple trials.
Information leakage through side channels can occur at layers above
TLS, in application protocols and the applications that use them.
Resistance to side-channel attacks depends on applications and
application protocols separately ensuring that confidential
information is not inadvertently leaked.
Rescorla Standards Track [Page 149]
^L
RFC 8446 TLS August 2018
E.5. Replay Attacks on 0-RTT
Replayable 0-RTT data presents a number of security threats to TLS-
using applications, unless those applications are specifically
engineered to be safe under replay (minimally, this means idempotent,
but in many cases may also require other stronger conditions, such as
constant-time response). Potential attacks include:
- Duplication of actions which cause side effects (e.g., purchasing
an item or transferring money) to be duplicated, thus harming the
site or the user.
- Attackers can store and replay 0-RTT messages in order to reorder
them with respect to other messages (e.g., moving a delete to
after a create).
- Exploiting cache timing behavior to discover the content of 0-RTT
messages by replaying a 0-RTT message to a different cache node
and then using a separate connection to measure request latency,
to see if the two requests address the same resource.
If data can be replayed a large number of times, additional attacks
become possible, such as making repeated measurements of the speed of
cryptographic operations. In addition, they may be able to overload
rate-limiting systems. For a further description of these attacks,
see [Mac17].
Ultimately, servers have the responsibility to protect themselves
against attacks employing 0-RTT data replication. The mechanisms
described in Section 8 are intended to prevent replay at the TLS
layer but do not provide complete protection against receiving
multiple copies of client data. TLS 1.3 falls back to the 1-RTT
handshake when the server does not have any information about the
client, e.g., because it is in a different cluster which does not
share state or because the ticket has been deleted as described in
Section 8.1. If the application-layer protocol retransmits data in
this setting, then it is possible for an attacker to induce message
duplication by sending the ClientHello to both the original cluster
(which processes the data immediately) and another cluster which will
fall back to 1-RTT and process the data upon application-layer
replay. The scale of this attack is limited by the client's
willingness to retry transactions and therefore only allows a limited
amount of duplication, with each copy appearing as a new connection
at the server.
Rescorla Standards Track [Page 150]
^L
RFC 8446 TLS August 2018
If implemented correctly, the mechanisms described in Sections 8.1
and 8.2 prevent a replayed ClientHello and its associated 0-RTT data
from being accepted multiple times by any cluster with consistent
state; for servers which limit the use of 0-RTT to one cluster for a
single ticket, then a given ClientHello and its associated 0-RTT data
will only be accepted once. However, if state is not completely
consistent, then an attacker might be able to have multiple copies of
the data be accepted during the replication window. Because clients
do not know the exact details of server behavior, they MUST NOT send
messages in early data which are not safe to have replayed and which
they would not be willing to retry across multiple 1-RTT connections.
Application protocols MUST NOT use 0-RTT data without a profile that
defines its use. That profile needs to identify which messages or
interactions are safe to use with 0-RTT and how to handle the
situation when the server rejects 0-RTT and falls back to 1-RTT.
In addition, to avoid accidental misuse, TLS implementations MUST NOT
enable 0-RTT (either sending or accepting) unless specifically
requested by the application and MUST NOT automatically resend 0-RTT
data if it is rejected by the server unless instructed by the
application. Server-side applications may wish to implement special
processing for 0-RTT data for some kinds of application traffic
(e.g., abort the connection, request that data be resent at the
application layer, or delay processing until the handshake
completes). In order to allow applications to implement this kind of
processing, TLS implementations MUST provide a way for the
application to determine if the handshake has completed.
E.5.1. Replay and Exporters
Replays of the ClientHello produce the same early exporter, thus
requiring additional care by applications which use these exporters.
In particular, if these exporters are used as an authentication
channel binding (e.g., by signing the output of the exporter), an
attacker who compromises the PSK can transplant authenticators
between connections without compromising the authentication key.
In addition, the early exporter SHOULD NOT be used to generate
server-to-client encryption keys because that would entail the reuse
of those keys. This parallels the use of the early application
traffic keys only in the client-to-server direction.
Rescorla Standards Track [Page 151]
^L
RFC 8446 TLS August 2018
E.6. PSK Identity Exposure
Because implementations respond to an invalid PSK binder by aborting
the handshake, it may be possible for an attacker to verify whether a
given PSK identity is valid. Specifically, if a server accepts both
external-PSK handshakes and certificate-based handshakes, a valid PSK
identity will result in a failed handshake, whereas an invalid
identity will just be skipped and result in a successful certificate
handshake. Servers which solely support PSK handshakes may be able
to resist this form of attack by treating the cases where there is no
valid PSK identity and where there is an identity but it has an
invalid binder identically.
E.7. Sharing PSKs
TLS 1.3 takes a conservative approach to PSKs by binding them to a
specific KDF. By contrast, TLS 1.2 allows PSKs to be used with any
hash function and the TLS 1.2 PRF. Thus, any PSK which is used with
both TLS 1.2 and TLS 1.3 must be used with only one hash in TLS 1.3,
which is less than optimal if users want to provision a single PSK.
The constructions in TLS 1.2 and TLS 1.3 are different, although they
are both based on HMAC. While there is no known way in which the
same PSK might produce related output in both versions, only limited
analysis has been done. Implementations can ensure safety from
cross-protocol related output by not reusing PSKs between TLS 1.3 and
TLS 1.2.
E.8. Attacks on Static RSA
Although TLS 1.3 does not use RSA key transport and so is not
directly susceptible to Bleichenbacher-type attacks [Blei98], if TLS
1.3 servers also support static RSA in the context of previous
versions of TLS, then it may be possible to impersonate the server
for TLS 1.3 connections [JSS15]. TLS 1.3 implementations can prevent
this attack by disabling support for static RSA across all versions
of TLS. In principle, implementations might also be able to separate
certificates with different keyUsage bits for static RSA decryption
and RSA signature, but this technique relies on clients refusing to
accept signatures using keys in certificates that do not have the
digitalSignature bit set, and many clients do not enforce this
restriction.
Rescorla Standards Track [Page 152]
^L
RFC 8446 TLS August 2018
Contributors
Martin Abadi
University of California, Santa Cruz
abadi@cs.ucsc.edu
Christopher Allen
(co-editor of TLS 1.0)
Alacrity Ventures
ChristopherA@AlacrityManagement.com
Richard Barnes
Cisco
rlb@ipv.sx
Steven M. Bellovin
Columbia University
smb@cs.columbia.edu
David Benjamin
Google
davidben@google.com
Benjamin Beurdouche
INRIA & Microsoft Research
benjamin.beurdouche@ens.fr
Karthikeyan Bhargavan
(editor of [RFC7627])
INRIA
karthikeyan.bhargavan@inria.fr
Simon Blake-Wilson
(co-author of [RFC4492])
BCI
sblakewilson@bcisse.com
Nelson Bolyard
(co-author of [RFC4492])
Sun Microsystems, Inc.
nelson@bolyard.com
Ran Canetti
IBM
canetti@watson.ibm.com
Rescorla Standards Track [Page 153]
^L
RFC 8446 TLS August 2018
Matt Caswell
OpenSSL
matt@openssl.org
Stephen Checkoway
University of Illinois at Chicago
sfc@uic.edu
Pete Chown
Skygate Technology Ltd
pc@skygate.co.uk
Katriel Cohn-Gordon
University of Oxford
me@katriel.co.uk
Cas Cremers
University of Oxford
cas.cremers@cs.ox.ac.uk
Antoine Delignat-Lavaud
(co-author of [RFC7627])
INRIA
antdl@microsoft.com
Tim Dierks
(co-author of TLS 1.0, co-editor of TLS 1.1 and 1.2)
Independent
tim@dierks.org
Roelof DuToit
Symantec Corporation
roelof_dutoit@symantec.com
Taher Elgamal
Securify
taher@securify.com
Pasi Eronen
Nokia
pasi.eronen@nokia.com
Cedric Fournet
Microsoft
fournet@microsoft.com
Rescorla Standards Track [Page 154]
^L
RFC 8446 TLS August 2018
Anil Gangolli
anil@busybuddha.org
David M. Garrett
dave@nulldereference.com
Illya Gerasymchuk
Independent
illya@iluxonchik.me
Alessandro Ghedini
Cloudflare Inc.
alessandro@cloudflare.com
Daniel Kahn Gillmor
ACLU
dkg@fifthhorseman.net
Matthew Green
Johns Hopkins University
mgreen@cs.jhu.edu
Jens Guballa
ETAS
jens.guballa@etas.com
Felix Guenther
TU Darmstadt
mail@felixguenther.info
Vipul Gupta
(co-author of [RFC4492])
Sun Microsystems Laboratories
vipul.gupta@sun.com
Chris Hawk
(co-author of [RFC4492])
Corriente Networks LLC
chris@corriente.net
Kipp Hickman
Alfred Hoenes
David Hopwood
Independent Consultant
david.hopwood@blueyonder.co.uk
Rescorla Standards Track [Page 155]
^L
RFC 8446 TLS August 2018
Marko Horvat
MPI-SWS
mhorvat@mpi-sws.org
Jonathan Hoyland
Royal Holloway, University of London
jonathan.hoyland@gmail.com
Subodh Iyengar
Facebook
subodh@fb.com
Benjamin Kaduk
Akamai Technologies
kaduk@mit.edu
Hubert Kario
Red Hat Inc.
hkario@redhat.com
Phil Karlton
(co-author of SSL 3.0)
Leon Klingele
Independent
mail@leonklingele.de
Paul Kocher
(co-author of SSL 3.0)
Cryptography Research
paul@cryptography.com
Hugo Krawczyk
IBM
hugokraw@us.ibm.com
Adam Langley
(co-author of [RFC7627])
Google
agl@google.com
Olivier Levillain
ANSSI
olivier.levillain@ssi.gouv.fr
Rescorla Standards Track [Page 156]
^L
RFC 8446 TLS August 2018
Xiaoyin Liu
University of North Carolina at Chapel Hill
xiaoyin.l@outlook.com
Ilari Liusvaara
Independent
ilariliusvaara@welho.com
Atul Luykx
K.U. Leuven
atul.luykx@kuleuven.be
Colm MacCarthaigh
Amazon Web Services
colm@allcosts.net
Carl Mehner
USAA
carl.mehner@usaa.com
Jan Mikkelsen
Transactionware
janm@transactionware.com
Bodo Moeller
(co-author of [RFC4492])
Google
bodo@acm.org
Kyle Nekritz
Facebook
knekritz@fb.com
Erik Nygren
Akamai Technologies
erik+ietf@nygren.org
Magnus Nystrom
Microsoft
mnystrom@microsoft.com
Kazuho Oku
DeNA Co., Ltd.
kazuhooku@gmail.com
Rescorla Standards Track [Page 157]
^L
RFC 8446 TLS August 2018
Kenny Paterson
Royal Holloway, University of London
kenny.paterson@rhul.ac.uk
Christopher Patton
University of Florida
cjpatton@ufl.edu
Alfredo Pironti
(co-author of [RFC7627])
INRIA
alfredo.pironti@inria.fr
Andrei Popov
Microsoft
andrei.popov@microsoft.com
Marsh Ray
(co-author of [RFC7627])
Microsoft
maray@microsoft.com
Robert Relyea
Netscape Communications
relyea@netscape.com
Kyle Rose
Akamai Technologies
krose@krose.org
Jim Roskind
Amazon
jroskind@amazon.com
Michael Sabin
Joe Salowey
Tableau Software
joe@salowey.net
Rich Salz
Akamai
rsalz@akamai.com
David Schinazi
Apple Inc.
dschinazi@apple.com
Rescorla Standards Track [Page 158]
^L
RFC 8446 TLS August 2018
Sam Scott
Royal Holloway, University of London
me@samjs.co.uk
Thomas Shrimpton
University of Florida
teshrim@ufl.edu
Dan Simon
Microsoft, Inc.
dansimon@microsoft.com
Brian Smith
Independent
brian@briansmith.org
Brian Sniffen
Akamai Technologies
ietf@bts.evenmere.org
Nick Sullivan
Cloudflare Inc.
nick@cloudflare.com
Bjoern Tackmann
University of California, San Diego
btackmann@eng.ucsd.edu
Tim Taubert
Mozilla
ttaubert@mozilla.com
Martin Thomson
Mozilla
mt@mozilla.com
Hannes Tschofenig
Arm Limited
Hannes.Tschofenig@arm.com
Sean Turner
sn3rd
sean@sn3rd.com
Steven Valdez
Google
svaldez@google.com
Rescorla Standards Track [Page 159]
^L
RFC 8446 TLS August 2018
Filippo Valsorda
Cloudflare Inc.
filippo@cloudflare.com
Thyla van der Merwe
Royal Holloway, University of London
tjvdmerwe@gmail.com
Victor Vasiliev
Google
vasilvv@google.com
Hoeteck Wee
Ecole Normale Superieure, Paris
hoeteck@alum.mit.edu
Tom Weinstein
David Wong
NCC Group
david.wong@nccgroup.trust
Christopher A. Wood
Apple Inc.
cawood@apple.com
Tim Wright
Vodafone
timothy.wright@vodafone.com
Peter Wu
Independent
peter@lekensteyn.nl
Kazu Yamamoto
Internet Initiative Japan Inc.
kazu@iij.ad.jp
Author's Address
Eric Rescorla
Mozilla
Email: ekr@rtfm.com
Rescorla Standards Track [Page 160]
^L
|