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
|
Network Working Group J. Callas
Request for Comments: 4880 PGP Corporation
Obsoletes: 1991, 2440 L. Donnerhacke
Category: Standards Track IKS GmbH
H. Finney
PGP Corporation
D. Shaw
R. Thayer
November 2007
OpenPGP Message Format
Status of This Memo
This document specifies an Internet standards track protocol for the
Internet community, and requests discussion and suggestions for
improvements. Please refer to the current edition of the "Internet
Official Protocol Standards" (STD 1) for the standardization state
and status of this protocol. Distribution of this memo is unlimited.
Abstract
This document is maintained in order to publish all necessary
information needed to develop interoperable applications based on the
OpenPGP format. It is not a step-by-step cookbook for writing an
application. It describes only the format and methods needed to
read, check, generate, and write conforming packets crossing any
network. It does not deal with storage and implementation questions.
It does, however, discuss implementation issues necessary to avoid
security flaws.
OpenPGP software uses a combination of strong public-key and
symmetric cryptography to provide security services for electronic
communications and data storage. These services include
confidentiality, key management, authentication, and digital
signatures. This document specifies the message formats used in
OpenPGP.
Callas, et al Standards Track [Page 1]
^L
RFC 4880 OpenPGP Message Format November 2007
Table of Contents
1. Introduction ....................................................5
1.1. Terms ......................................................5
2. General functions ...............................................6
2.1. Confidentiality via Encryption .............................6
2.2. Authentication via Digital Signature .......................7
2.3. Compression ................................................7
2.4. Conversion to Radix-64 .....................................8
2.5. Signature-Only Applications ................................8
3. Data Element Formats ............................................8
3.1. Scalar Numbers .............................................8
3.2. Multiprecision Integers ....................................9
3.3. Key IDs ....................................................9
3.4. Text .......................................................9
3.5. Time Fields ...............................................10
3.6. Keyrings ..................................................10
3.7. String-to-Key (S2K) Specifiers ............................10
3.7.1. String-to-Key (S2K) Specifier Types ................10
3.7.1.1. Simple S2K ................................10
3.7.1.2. Salted S2K ................................11
3.7.1.3. Iterated and Salted S2K ...................11
3.7.2. String-to-Key Usage ................................12
3.7.2.1. Secret-Key Encryption .....................12
3.7.2.2. Symmetric-Key Message Encryption ..........13
4. Packet Syntax ..................................................13
4.1. Overview ..................................................13
4.2. Packet Headers ............................................13
4.2.1. Old Format Packet Lengths ..........................14
4.2.2. New Format Packet Lengths ..........................15
4.2.2.1. One-Octet Lengths .........................15
4.2.2.2. Two-Octet Lengths .........................15
4.2.2.3. Five-Octet Lengths ........................15
4.2.2.4. Partial Body Lengths ......................16
4.2.3. Packet Length Examples .............................16
4.3. Packet Tags ...............................................17
5. Packet Types ...................................................17
5.1. Public-Key Encrypted Session Key Packets (Tag 1) ..........17
5.2. Signature Packet (Tag 2) ..................................19
5.2.1. Signature Types ....................................19
5.2.2. Version 3 Signature Packet Format ..................21
5.2.3. Version 4 Signature Packet Format ..................24
5.2.3.1. Signature Subpacket Specification .........25
5.2.3.2. Signature Subpacket Types .................27
5.2.3.3. Notes on Self-Signatures ..................27
5.2.3.4. Signature Creation Time ...................28
5.2.3.5. Issuer ....................................28
5.2.3.6. Key Expiration Time .......................28
Callas, et al Standards Track [Page 2]
^L
RFC 4880 OpenPGP Message Format November 2007
5.2.3.7. Preferred Symmetric Algorithms ............28
5.2.3.8. Preferred Hash Algorithms .................29
5.2.3.9. Preferred Compression Algorithms ..........29
5.2.3.10. Signature Expiration Time ................29
5.2.3.11. Exportable Certification .................29
5.2.3.12. Revocable ................................30
5.2.3.13. Trust Signature ..........................30
5.2.3.14. Regular Expression .......................31
5.2.3.15. Revocation Key ...........................31
5.2.3.16. Notation Data ............................31
5.2.3.17. Key Server Preferences ...................32
5.2.3.18. Preferred Key Server .....................33
5.2.3.19. Primary User ID ..........................33
5.2.3.20. Policy URI ...............................33
5.2.3.21. Key Flags ................................33
5.2.3.22. Signer's User ID .........................34
5.2.3.23. Reason for Revocation ....................35
5.2.3.24. Features .................................36
5.2.3.25. Signature Target .........................36
5.2.3.26. Embedded Signature .......................37
5.2.4. Computing Signatures ...............................37
5.2.4.1. Subpacket Hints ...........................38
5.3. Symmetric-Key Encrypted Session Key Packets (Tag 3) .......38
5.4. One-Pass Signature Packets (Tag 4) ........................39
5.5. Key Material Packet .......................................40
5.5.1. Key Packet Variants ................................40
5.5.1.1. Public-Key Packet (Tag 6) .................40
5.5.1.2. Public-Subkey Packet (Tag 14) .............40
5.5.1.3. Secret-Key Packet (Tag 5) .................41
5.5.1.4. Secret-Subkey Packet (Tag 7) ..............41
5.5.2. Public-Key Packet Formats ..........................41
5.5.3. Secret-Key Packet Formats ..........................43
5.6. Compressed Data Packet (Tag 8) ............................45
5.7. Symmetrically Encrypted Data Packet (Tag 9) ...............45
5.8. Marker Packet (Obsolete Literal Packet) (Tag 10) ..........46
5.9. Literal Data Packet (Tag 11) ..............................46
5.10. Trust Packet (Tag 12) ....................................47
5.11. User ID Packet (Tag 13) ..................................48
5.12. User Attribute Packet (Tag 17) ...........................48
5.12.1. The Image Attribute Subpacket .....................48
5.13. Sym. Encrypted Integrity Protected Data Packet (Tag 18) ..49
5.14. Modification Detection Code Packet (Tag 19) ..............52
6. Radix-64 Conversions ...........................................53
6.1. An Implementation of the CRC-24 in "C" ....................54
6.2. Forming ASCII Armor .......................................54
6.3. Encoding Binary in Radix-64 ...............................57
6.4. Decoding Radix-64 .........................................58
6.5. Examples of Radix-64 ......................................59
Callas, et al Standards Track [Page 3]
^L
RFC 4880 OpenPGP Message Format November 2007
6.6. Example of an ASCII Armored Message .......................59
7. Cleartext Signature Framework ..................................59
7.1. Dash-Escaped Text .........................................60
8. Regular Expressions ............................................61
9. Constants ......................................................61
9.1. Public-Key Algorithms .....................................62
9.2. Symmetric-Key Algorithms ..................................62
9.3. Compression Algorithms ....................................63
9.4. Hash Algorithms ...........................................63
10. IANA Considerations ...........................................63
10.1. New String-to-Key Specifier Types ........................64
10.2. New Packets ..............................................64
10.2.1. User Attribute Types ..............................64
10.2.1.1. Image Format Subpacket Types .............64
10.2.2. New Signature Subpackets ..........................64
10.2.2.1. Signature Notation Data Subpackets .......65
10.2.2.2. Key Server Preference Extensions .........65
10.2.2.3. Key Flags Extensions .....................65
10.2.2.4. Reason For Revocation Extensions .........65
10.2.2.5. Implementation Features ..................66
10.2.3. New Packet Versions ...............................66
10.3. New Algorithms ...........................................66
10.3.1. Public-Key Algorithms .............................66
10.3.2. Symmetric-Key Algorithms ..........................67
10.3.3. Hash Algorithms ...................................67
10.3.4. Compression Algorithms ............................67
11. Packet Composition ............................................67
11.1. Transferable Public Keys .................................67
11.2. Transferable Secret Keys .................................69
11.3. OpenPGP Messages .........................................69
11.4. Detached Signatures ......................................70
12. Enhanced Key Formats ..........................................70
12.1. Key Structures ...........................................70
12.2. Key IDs and Fingerprints .................................71
13. Notes on Algorithms ...........................................72
13.1. PKCS#1 Encoding in OpenPGP ...............................72
13.1.1. EME-PKCS1-v1_5-ENCODE .............................73
13.1.2. EME-PKCS1-v1_5-DECODE .............................73
13.1.3. EMSA-PKCS1-v1_5 ...................................74
13.2. Symmetric Algorithm Preferences ..........................75
13.3. Other Algorithm Preferences ..............................76
13.3.1. Compression Preferences ...........................76
13.3.2. Hash Algorithm Preferences ........................76
13.4. Plaintext ................................................77
13.5. RSA ......................................................77
13.6. DSA ......................................................77
13.7. Elgamal ..................................................78
13.8. Reserved Algorithm Numbers ...............................78
Callas, et al Standards Track [Page 4]
^L
RFC 4880 OpenPGP Message Format November 2007
13.9. OpenPGP CFB Mode .........................................78
13.10. Private or Experimental Parameters ......................79
13.11. Extension of the MDC System .............................80
13.12. Meta-Considerations for Expansion .......................80
14. Security Considerations .......................................81
15. Implementation Nits ...........................................84
16. References ....................................................86
16.1. Normative References .....................................86
16.2. Informative References ...................................88
1. Introduction
This document provides information on the message-exchange packet
formats used by OpenPGP to provide encryption, decryption, signing,
and key management functions. It is a revision of RFC 2440, "OpenPGP
Message Format", which itself replaces RFC 1991, "PGP Message
Exchange Formats" [RFC1991] [RFC2440].
1.1. Terms
* OpenPGP - This is a term for security software that uses PGP 5.x
as a basis, formalized in RFC 2440 and this document.
* PGP - Pretty Good Privacy. PGP is a family of software systems
developed by Philip R. Zimmermann from which OpenPGP is based.
* PGP 2.6.x - This version of PGP has many variants, hence the term
PGP 2.6.x. It used only RSA, MD5, and IDEA for its cryptographic
transforms. An informational RFC, RFC 1991, was written
describing this version of PGP.
* PGP 5.x - This version of PGP is formerly known as "PGP 3" in the
community and also in the predecessor of this document, RFC 1991.
It has new formats and corrects a number of problems in the PGP
2.6.x design. It is referred to here as PGP 5.x because that
software was the first release of the "PGP 3" code base.
* GnuPG - GNU Privacy Guard, also called GPG. GnuPG is an OpenPGP
implementation that avoids all encumbered algorithms.
Consequently, early versions of GnuPG did not include RSA public
keys. GnuPG may or may not have (depending on version) support
for IDEA or other encumbered algorithms.
"PGP", "Pretty Good", and "Pretty Good Privacy" are trademarks of PGP
Corporation and are used with permission. The term "OpenPGP" refers
to the protocol described in this and related documents.
Callas, et al Standards Track [Page 5]
^L
RFC 4880 OpenPGP Message Format November 2007
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
"SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
document are to be interpreted as described in [RFC2119].
The key words "PRIVATE USE", "HIERARCHICAL ALLOCATION", "FIRST COME
FIRST SERVED", "EXPERT REVIEW", "SPECIFICATION REQUIRED", "IESG
APPROVAL", "IETF CONSENSUS", and "STANDARDS ACTION" that appear in
this document when used to describe namespace allocation are to be
interpreted as described in [RFC2434].
2. General functions
OpenPGP provides data integrity services for messages and data files
by using these core technologies:
- digital signatures
- encryption
- compression
- Radix-64 conversion
In addition, OpenPGP provides key management and certificate
services, but many of these are beyond the scope of this document.
2.1. Confidentiality via Encryption
OpenPGP combines symmetric-key encryption and public-key encryption
to provide confidentiality. When made confidential, first the object
is encrypted using a symmetric encryption algorithm. Each symmetric
key is used only once, for a single object. A new "session key" is
generated as a random number for each object (sometimes referred to
as a session). Since it is used only once, the session key is bound
to the message and transmitted with it. To protect the key, it is
encrypted with the receiver's public key. The sequence is as
follows:
1. The sender creates a message.
2. The sending OpenPGP generates a random number to be used as a
session key for this message only.
3. The session key is encrypted using each recipient's public key.
These "encrypted session keys" start the message.
Callas, et al Standards Track [Page 6]
^L
RFC 4880 OpenPGP Message Format November 2007
4. The sending OpenPGP encrypts the message using the session key,
which forms the remainder of the message. Note that the message
is also usually compressed.
5. The receiving OpenPGP decrypts the session key using the
recipient's private key.
6. The receiving OpenPGP decrypts the message using the session key.
If the message was compressed, it will be decompressed.
With symmetric-key encryption, an object may be encrypted with a
symmetric key derived from a passphrase (or other shared secret), or
a two-stage mechanism similar to the public-key method described
above in which a session key is itself encrypted with a symmetric
algorithm keyed from a shared secret.
Both digital signature and confidentiality services may be applied to
the same message. First, a signature is generated for the message
and attached to the message. Then the message plus signature is
encrypted using a symmetric session key. Finally, the session key is
encrypted using public-key encryption and prefixed to the encrypted
block.
2.2. Authentication via Digital Signature
The digital signature uses a hash code or message digest algorithm,
and a public-key signature algorithm. The sequence is as follows:
1. The sender creates a message.
2. The sending software generates a hash code of the message.
3. The sending software generates a signature from the hash code
using the sender's private key.
4. The binary signature is attached to the message.
5. The receiving software keeps a copy of the message signature.
6. The receiving software generates a new hash code for the received
message and verifies it using the message's signature. If the
verification is successful, the message is accepted as authentic.
2.3. Compression
OpenPGP implementations SHOULD compress the message after applying
the signature but before encryption.
Callas, et al Standards Track [Page 7]
^L
RFC 4880 OpenPGP Message Format November 2007
If an implementation does not implement compression, its authors
should be aware that most OpenPGP messages in the world are
compressed. Thus, it may even be wise for a space-constrained
implementation to implement decompression, but not compression.
Furthermore, compression has the added side effect that some types of
attacks can be thwarted by the fact that slightly altered, compressed
data rarely uncompresses without severe errors. This is hardly
rigorous, but it is operationally useful. These attacks can be
rigorously prevented by implementing and using Modification Detection
Codes as described in sections following.
2.4. Conversion to Radix-64
OpenPGP's underlying native representation for encrypted messages,
signature certificates, and keys is a stream of arbitrary octets.
Some systems only permit the use of blocks consisting of seven-bit,
printable text. For transporting OpenPGP's native raw binary octets
through channels that are not safe to raw binary data, a printable
encoding of these binary octets is needed. OpenPGP provides the
service of converting the raw 8-bit binary octet stream to a stream
of printable ASCII characters, called Radix-64 encoding or ASCII
Armor.
Implementations SHOULD provide Radix-64 conversions.
2.5. Signature-Only Applications
OpenPGP is designed for applications that use both encryption and
signatures, but there are a number of problems that are solved by a
signature-only implementation. Although this specification requires
both encryption and signatures, it is reasonable for there to be
subset implementations that are non-conformant only in that they omit
encryption.
3. Data Element Formats
This section describes the data elements used by OpenPGP.
3.1. Scalar Numbers
Scalar numbers are unsigned and are always stored in big-endian
format. Using n[k] to refer to the kth octet being interpreted, the
value of a two-octet scalar is ((n[0] << 8) + n[1]). The value of a
four-octet scalar is ((n[0] << 24) + (n[1] << 16) + (n[2] << 8) +
n[3]).
Callas, et al Standards Track [Page 8]
^L
RFC 4880 OpenPGP Message Format November 2007
3.2. Multiprecision Integers
Multiprecision integers (also called MPIs) are unsigned integers used
to hold large integers such as the ones used in cryptographic
calculations.
An MPI consists of two pieces: a two-octet scalar that is the length
of the MPI in bits followed by a string of octets that contain the
actual integer.
These octets form a big-endian number; a big-endian number can be
made into an MPI by prefixing it with the appropriate length.
Examples:
(all numbers are in hexadecimal)
The string of octets [00 01 01] forms an MPI with the value 1. The
string [00 09 01 FF] forms an MPI with the value of 511.
Additional rules:
The size of an MPI is ((MPI.length + 7) / 8) + 2 octets.
The length field of an MPI describes the length starting from its
most significant non-zero bit. Thus, the MPI [00 02 01] is not
formed correctly. It should be [00 01 01].
Unused bits of an MPI MUST be zero.
Also note that when an MPI is encrypted, the length refers to the
plaintext MPI. It may be ill-formed in its ciphertext.
3.3. Key IDs
A Key ID is an eight-octet scalar that identifies a key.
Implementations SHOULD NOT assume that Key IDs are unique. The
section "Enhanced Key Formats" below describes how Key IDs are
formed.
3.4. Text
Unless otherwise specified, the character set for text is the UTF-8
[RFC3629] encoding of Unicode [ISO10646].
Callas, et al Standards Track [Page 9]
^L
RFC 4880 OpenPGP Message Format November 2007
3.5. Time Fields
A time field is an unsigned four-octet number containing the number
of seconds elapsed since midnight, 1 January 1970 UTC.
3.6. Keyrings
A keyring is a collection of one or more keys in a file or database.
Traditionally, a keyring is simply a sequential list of keys, but may
be any suitable database. It is beyond the scope of this standard to
discuss the details of keyrings or other databases.
3.7. String-to-Key (S2K) Specifiers
String-to-key (S2K) specifiers are used to convert passphrase strings
into symmetric-key encryption/decryption keys. They are used in two
places, currently: to encrypt the secret part of private keys in the
private keyring, and to convert passphrases to encryption keys for
symmetrically encrypted messages.
3.7.1. String-to-Key (S2K) Specifier Types
There are three types of S2K specifiers currently supported, and
some reserved values:
ID S2K Type
-- --------
0 Simple S2K
1 Salted S2K
2 Reserved value
3 Iterated and Salted S2K
100 to 110 Private/Experimental S2K
These are described in Sections 3.7.1.1 - 3.7.1.3.
3.7.1.1. Simple S2K
This directly hashes the string to produce the key data. See below
for how this hashing is done.
Octet 0: 0x00
Octet 1: hash algorithm
Simple S2K hashes the passphrase to produce the session key. The
manner in which this is done depends on the size of the session key
(which will depend on the cipher used) and the size of the hash
Callas, et al Standards Track [Page 10]
^L
RFC 4880 OpenPGP Message Format November 2007
algorithm's output. If the hash size is greater than the session key
size, the high-order (leftmost) octets of the hash are used as the
key.
If the hash size is less than the key size, multiple instances of the
hash context are created -- enough to produce the required key data.
These instances are preloaded with 0, 1, 2, ... octets of zeros (that
is to say, the first instance has no preloading, the second gets
preloaded with 1 octet of zero, the third is preloaded with two
octets of zeros, and so forth).
As the data is hashed, it is given independently to each hash
context. Since the contexts have been initialized differently, they
will each produce different hash output. Once the passphrase is
hashed, the output data from the multiple hashes is concatenated,
first hash leftmost, to produce the key data, with any excess octets
on the right discarded.
3.7.1.2. Salted S2K
This includes a "salt" value in the S2K specifier -- some arbitrary
data -- that gets hashed along with the passphrase string, to help
prevent dictionary attacks.
Octet 0: 0x01
Octet 1: hash algorithm
Octets 2-9: 8-octet salt value
Salted S2K is exactly like Simple S2K, except that the input to the
hash function(s) consists of the 8 octets of salt from the S2K
specifier, followed by the passphrase.
3.7.1.3. Iterated and Salted S2K
This includes both a salt and an octet count. The salt is combined
with the passphrase and the resulting value is hashed repeatedly.
This further increases the amount of work an attacker must do to try
dictionary attacks.
Octet 0: 0x03
Octet 1: hash algorithm
Octets 2-9: 8-octet salt value
Octet 10: count, a one-octet, coded value
Callas, et al Standards Track [Page 11]
^L
RFC 4880 OpenPGP Message Format November 2007
The count is coded into a one-octet number using the following
formula:
#define EXPBIAS 6
count = ((Int32)16 + (c & 15)) << ((c >> 4) + EXPBIAS);
The above formula is in C, where "Int32" is a type for a 32-bit
integer, and the variable "c" is the coded count, Octet 10.
Iterated-Salted S2K hashes the passphrase and salt data multiple
times. The total number of octets to be hashed is specified in the
encoded count in the S2K specifier. Note that the resulting count
value is an octet count of how many octets will be hashed, not an
iteration count.
Initially, one or more hash contexts are set up as with the other S2K
algorithms, depending on how many octets of key data are needed.
Then the salt, followed by the passphrase data, is repeatedly hashed
until the number of octets specified by the octet count has been
hashed. The one exception is that if the octet count is less than
the size of the salt plus passphrase, the full salt plus passphrase
will be hashed even though that is greater than the octet count.
After the hashing is done, the data is unloaded from the hash
context(s) as with the other S2K algorithms.
3.7.2. String-to-Key Usage
Implementations SHOULD use salted or iterated-and-salted S2K
specifiers, as simple S2K specifiers are more vulnerable to
dictionary attacks.
3.7.2.1. Secret-Key Encryption
An S2K specifier can be stored in the secret keyring to specify how
to convert the passphrase to a key that unlocks the secret data.
Older versions of PGP just stored a cipher algorithm octet preceding
the secret data or a zero to indicate that the secret data was
unencrypted. The MD5 hash function was always used to convert the
passphrase to a key for the specified cipher algorithm.
For compatibility, when an S2K specifier is used, the special value
254 or 255 is stored in the position where the hash algorithm octet
would have been in the old data structure. This is then followed
immediately by a one-octet algorithm identifier, and then by the S2K
specifier as encoded above.
Callas, et al Standards Track [Page 12]
^L
RFC 4880 OpenPGP Message Format November 2007
Therefore, preceding the secret data there will be one of these
possibilities:
0: secret data is unencrypted (no passphrase)
255 or 254: followed by algorithm octet and S2K specifier
Cipher alg: use Simple S2K algorithm using MD5 hash
This last possibility, the cipher algorithm number with an implicit
use of MD5 and IDEA, is provided for backward compatibility; it MAY
be understood, but SHOULD NOT be generated, and is deprecated.
These are followed by an Initial Vector of the same length as the
block size of the cipher for the decryption of the secret values, if
they are encrypted, and then the secret-key values themselves.
3.7.2.2. Symmetric-Key Message Encryption
OpenPGP can create a Symmetric-key Encrypted Session Key (ESK) packet
at the front of a message. This is used to allow S2K specifiers to
be used for the passphrase conversion or to create messages with a
mix of symmetric-key ESKs and public-key ESKs. This allows a message
to be decrypted either with a passphrase or a public-key pair.
PGP 2.X always used IDEA with Simple string-to-key conversion when
encrypting a message with a symmetric algorithm. This is deprecated,
but MAY be used for backward-compatibility.
4. Packet Syntax
This section describes the packets used by OpenPGP.
4.1. Overview
An OpenPGP message is constructed from a number of records that are
traditionally called packets. A packet is a chunk of data that has a
tag specifying its meaning. An OpenPGP message, keyring,
certificate, and so forth consists of a number of packets. Some of
those packets may contain other OpenPGP packets (for example, a
compressed data packet, when uncompressed, contains OpenPGP packets).
Each packet consists of a packet header, followed by the packet body.
The packet header is of variable length.
4.2. Packet Headers
The first octet of the packet header is called the "Packet Tag". It
determines the format of the header and denotes the packet contents.
The remainder of the packet header is the length of the packet.
Callas, et al Standards Track [Page 13]
^L
RFC 4880 OpenPGP Message Format November 2007
Note that the most significant bit is the leftmost bit, called bit 7.
A mask for this bit is 0x80 in hexadecimal.
+---------------+
PTag |7 6 5 4 3 2 1 0|
+---------------+
Bit 7 -- Always one
Bit 6 -- New packet format if set
PGP 2.6.x only uses old format packets. Thus, software that
interoperates with those versions of PGP must only use old format
packets. If interoperability is not an issue, the new packet format
is RECOMMENDED. Note that old format packets have four bits of
packet tags, and new format packets have six; some features cannot be
used and still be backward-compatible.
Also note that packets with a tag greater than or equal to 16 MUST
use new format packets. The old format packets can only express tags
less than or equal to 15.
Old format packets contain:
Bits 5-2 -- packet tag
Bits 1-0 -- length-type
New format packets contain:
Bits 5-0 -- packet tag
4.2.1. Old Format Packet Lengths
The meaning of the length-type in old format packets is:
0 - The packet has a one-octet length. The header is 2 octets long.
1 - The packet has a two-octet length. The header is 3 octets long.
2 - The packet has a four-octet length. The header is 5 octets long.
3 - The packet is of indeterminate length. The header is 1 octet
long, and the implementation must determine how long the packet
is. If the packet is in a file, this means that the packet
extends until the end of the file. In general, an implementation
SHOULD NOT use indeterminate-length packets except where the end
of the data will be clear from the context, and even then it is
better to use a definite length, or a new format header. The new
format headers described below have a mechanism for precisely
encoding data of indeterminate length.
Callas, et al Standards Track [Page 14]
^L
RFC 4880 OpenPGP Message Format November 2007
4.2.2. New Format Packet Lengths
New format packets have four possible ways of encoding length:
1. A one-octet Body Length header encodes packet lengths of up to 191
octets.
2. A two-octet Body Length header encodes packet lengths of 192 to
8383 octets.
3. A five-octet Body Length header encodes packet lengths of up to
4,294,967,295 (0xFFFFFFFF) octets in length. (This actually
encodes a four-octet scalar number.)
4. When the length of the packet body is not known in advance by the
issuer, Partial Body Length headers encode a packet of
indeterminate length, effectively making it a stream.
4.2.2.1. One-Octet Lengths
A one-octet Body Length header encodes a length of 0 to 191 octets.
This type of length header is recognized because the one octet value
is less than 192. The body length is equal to:
bodyLen = 1st_octet;
4.2.2.2. Two-Octet Lengths
A two-octet Body Length header encodes a length of 192 to 8383
octets. It is recognized because its first octet is in the range 192
to 223. The body length is equal to:
bodyLen = ((1st_octet - 192) << 8) + (2nd_octet) + 192
4.2.2.3. Five-Octet Lengths
A five-octet Body Length header consists of a single octet holding
the value 255, followed by a four-octet scalar. The body length is
equal to:
bodyLen = (2nd_octet << 24) | (3rd_octet << 16) |
(4th_octet << 8) | 5th_octet
This basic set of one, two, and five-octet lengths is also used
internally to some packets.
Callas, et al Standards Track [Page 15]
^L
RFC 4880 OpenPGP Message Format November 2007
4.2.2.4. Partial Body Lengths
A Partial Body Length header is one octet long and encodes the length
of only part of the data packet. This length is a power of 2, from 1
to 1,073,741,824 (2 to the 30th power). It is recognized by its one
octet value that is greater than or equal to 224, and less than 255.
The Partial Body Length is equal to:
partialBodyLen = 1 << (1st_octet & 0x1F);
Each Partial Body Length header is followed by a portion of the
packet body data. The Partial Body Length header specifies this
portion's length. Another length header (one octet, two-octet,
five-octet, or partial) follows that portion. The last length header
in the packet MUST NOT be a Partial Body Length header. Partial Body
Length headers may only be used for the non-final parts of the
packet.
Note also that the last Body Length header can be a zero-length
header.
An implementation MAY use Partial Body Lengths for data packets, be
they literal, compressed, or encrypted. The first partial length
MUST be at least 512 octets long. Partial Body Lengths MUST NOT be
used for any other packet types.
4.2.3. Packet Length Examples
These examples show ways that new format packets might encode the
packet lengths.
A packet with length 100 may have its length encoded in one octet:
0x64. This is followed by 100 octets of data.
A packet with length 1723 may have its length encoded in two octets:
0xC5, 0xFB. This header is followed by the 1723 octets of data.
A packet with length 100000 may have its length encoded in five
octets: 0xFF, 0x00, 0x01, 0x86, 0xA0.
It might also be encoded in the following octet stream: 0xEF, first
32768 octets of data; 0xE1, next two octets of data; 0xE0, next one
octet of data; 0xF0, next 65536 octets of data; 0xC5, 0xDD, last 1693
octets of data. This is just one possible encoding, and many
variations are possible on the size of the Partial Body Length
headers, as long as a regular Body Length header encodes the last
portion of the data.
Callas, et al Standards Track [Page 16]
^L
RFC 4880 OpenPGP Message Format November 2007
Please note that in all of these explanations, the total length of
the packet is the length of the header(s) plus the length of the
body.
4.3. Packet Tags
The packet tag denotes what type of packet the body holds. Note that
old format headers can only have tags less than 16, whereas new
format headers can have tags as great as 63. The defined tags (in
decimal) are as follows:
0 -- Reserved - a packet tag MUST NOT have this value
1 -- Public-Key Encrypted Session Key Packet
2 -- Signature Packet
3 -- Symmetric-Key Encrypted Session Key Packet
4 -- One-Pass Signature Packet
5 -- Secret-Key Packet
6 -- Public-Key Packet
7 -- Secret-Subkey Packet
8 -- Compressed Data Packet
9 -- Symmetrically Encrypted Data Packet
10 -- Marker Packet
11 -- Literal Data Packet
12 -- Trust Packet
13 -- User ID Packet
14 -- Public-Subkey Packet
17 -- User Attribute Packet
18 -- Sym. Encrypted and Integrity Protected Data Packet
19 -- Modification Detection Code Packet
60 to 63 -- Private or Experimental Values
5. Packet Types
5.1. Public-Key Encrypted Session Key Packets (Tag 1)
A Public-Key Encrypted Session Key packet holds the session key used
to encrypt a message. Zero or more Public-Key Encrypted Session Key
packets and/or Symmetric-Key Encrypted Session Key packets may
precede a Symmetrically Encrypted Data Packet, which holds an
encrypted message. The message is encrypted with the session key,
and the session key is itself encrypted and stored in the Encrypted
Session Key packet(s). The Symmetrically Encrypted Data Packet is
preceded by one Public-Key Encrypted Session Key packet for each
OpenPGP key to which the message is encrypted. The recipient of the
message finds a session key that is encrypted to their public key,
decrypts the session key, and then uses the session key to decrypt
the message.
Callas, et al Standards Track [Page 17]
^L
RFC 4880 OpenPGP Message Format November 2007
The body of this packet consists of:
- A one-octet number giving the version number of the packet type.
The currently defined value for packet version is 3.
- An eight-octet number that gives the Key ID of the public key to
which the session key is encrypted. If the session key is
encrypted to a subkey, then the Key ID of this subkey is used
here instead of the Key ID of the primary key.
- A one-octet number giving the public-key algorithm used.
- A string of octets that is the encrypted session key. This
string takes up the remainder of the packet, and its contents are
dependent on the public-key algorithm used.
Algorithm Specific Fields for RSA encryption
- multiprecision integer (MPI) of RSA encrypted value m**e mod n.
Algorithm Specific Fields for Elgamal encryption:
- MPI of Elgamal (Diffie-Hellman) value g**k mod p.
- MPI of Elgamal (Diffie-Hellman) value m * y**k mod p.
The value "m" in the above formulas is derived from the session key
as follows. First, the session key is prefixed with a one-octet
algorithm identifier that specifies the symmetric encryption
algorithm used to encrypt the following Symmetrically Encrypted Data
Packet. Then a two-octet checksum is appended, which is equal to the
sum of the preceding session key octets, not including the algorithm
identifier, modulo 65536. This value is then encoded as described in
PKCS#1 block encoding EME-PKCS1-v1_5 in Section 7.2.1 of [RFC3447] to
form the "m" value used in the formulas above. See Section 13.1 of
this document for notes on OpenPGP's use of PKCS#1.
Note that when an implementation forms several PKESKs with one
session key, forming a message that can be decrypted by several keys,
the implementation MUST make a new PKCS#1 encoding for each key.
An implementation MAY accept or use a Key ID of zero as a "wild card"
or "speculative" Key ID. In this case, the receiving implementation
would try all available private keys, checking for a valid decrypted
session key. This format helps reduce traffic analysis of messages.
Callas, et al Standards Track [Page 18]
^L
RFC 4880 OpenPGP Message Format November 2007
5.2. Signature Packet (Tag 2)
A Signature packet describes a binding between some public key and
some data. The most common signatures are a signature of a file or a
block of text, and a signature that is a certification of a User ID.
Two versions of Signature packets are defined. Version 3 provides
basic signature information, while version 4 provides an expandable
format with subpackets that can specify more information about the
signature. PGP 2.6.x only accepts version 3 signatures.
Implementations SHOULD accept V3 signatures. Implementations SHOULD
generate V4 signatures.
Note that if an implementation is creating an encrypted and signed
message that is encrypted to a V3 key, it is reasonable to create a
V3 signature.
5.2.1. Signature Types
There are a number of possible meanings for a signature, which are
indicated in a signature type octet in any given signature. Please
note that the vagueness of these meanings is not a flaw, but a
feature of the system. Because OpenPGP places final authority for
validity upon the receiver of a signature, it may be that one
signer's casual act might be more rigorous than some other
authority's positive act. See Section 5.2.4, "Computing Signatures",
for detailed information on how to compute and verify signatures of
each type.
These meanings are as follows:
0x00: Signature of a binary document.
This means the signer owns it, created it, or certifies that it
has not been modified.
0x01: Signature of a canonical text document.
This means the signer owns it, created it, or certifies that it
has not been modified. The signature is calculated over the text
data with its line endings converted to <CR><LF>.
0x02: Standalone signature.
This signature is a signature of only its own subpacket contents.
It is calculated identically to a signature over a zero-length
binary document. Note that it doesn't make sense to have a V3
standalone signature.
Callas, et al Standards Track [Page 19]
^L
RFC 4880 OpenPGP Message Format November 2007
0x10: Generic certification of a User ID and Public-Key packet.
The issuer of this certification does not make any particular
assertion as to how well the certifier has checked that the owner
of the key is in fact the person described by the User ID.
0x11: Persona certification of a User ID and Public-Key packet.
The issuer of this certification has not done any verification of
the claim that the owner of this key is the User ID specified.
0x12: Casual certification of a User ID and Public-Key packet.
The issuer of this certification has done some casual
verification of the claim of identity.
0x13: Positive certification of a User ID and Public-Key packet.
The issuer of this certification has done substantial
verification of the claim of identity.
Most OpenPGP implementations make their "key signatures" as 0x10
certifications. Some implementations can issue 0x11-0x13
certifications, but few differentiate between the types.
0x18: Subkey Binding Signature
This signature is a statement by the top-level signing key that
indicates that it owns the subkey. This signature is calculated
directly on the primary key and subkey, and not on any User ID or
other packets. A signature that binds a signing subkey MUST have
an Embedded Signature subpacket in this binding signature that
contains a 0x19 signature made by the signing subkey on the
primary key and subkey.
0x19: Primary Key Binding Signature
This signature is a statement by a signing subkey, indicating
that it is owned by the primary key and subkey. This signature
is calculated the same way as a 0x18 signature: directly on the
primary key and subkey, and not on any User ID or other packets.
0x1F: Signature directly on a key
This signature is calculated directly on a key. It binds the
information in the Signature subpackets to the key, and is
appropriate to be used for subpackets that provide information
about the key, such as the Revocation Key subpacket. It is also
appropriate for statements that non-self certifiers want to make
about the key itself, rather than the binding between a key and a
name.
Callas, et al Standards Track [Page 20]
^L
RFC 4880 OpenPGP Message Format November 2007
0x20: Key revocation signature
The signature is calculated directly on the key being revoked. A
revoked key is not to be used. Only revocation signatures by the
key being revoked, or by an authorized revocation key, should be
considered valid revocation signatures.
0x28: Subkey revocation signature
The signature is calculated directly on the subkey being revoked.
A revoked subkey is not to be used. Only revocation signatures
by the top-level signature key that is bound to this subkey, or
by an authorized revocation key, should be considered valid
revocation signatures.
0x30: Certification revocation signature
This signature revokes an earlier User ID certification signature
(signature class 0x10 through 0x13) or direct-key signature
(0x1F). It should be issued by the same key that issued the
revoked signature or an authorized revocation key. The signature
is computed over the same data as the certificate that it
revokes, and should have a later creation date than that
certificate.
0x40: Timestamp signature.
This signature is only meaningful for the timestamp contained in
it.
0x50: Third-Party Confirmation signature.
This signature is a signature over some other OpenPGP Signature
packet(s). It is analogous to a notary seal on the signed data.
A third-party signature SHOULD include Signature Target
subpacket(s) to give easy identification. Note that we really do
mean SHOULD. There are plausible uses for this (such as a blind
party that only sees the signature, not the key or source
document) that cannot include a target subpacket.
5.2.2. Version 3 Signature Packet Format
The body of a version 3 Signature Packet contains:
- One-octet version number (3).
- One-octet length of following hashed material. MUST be 5.
- One-octet signature type.
- Four-octet creation time.
- Eight-octet Key ID of signer.
Callas, et al Standards Track [Page 21]
^L
RFC 4880 OpenPGP Message Format November 2007
- One-octet public-key algorithm.
- One-octet hash algorithm.
- Two-octet field holding left 16 bits of signed hash value.
- One or more multiprecision integers comprising the signature.
This portion is algorithm specific, as described below.
The concatenation of the data to be signed, the signature type, and
creation time from the Signature packet (5 additional octets) is
hashed. The resulting hash value is used in the signature algorithm.
The high 16 bits (first two octets) of the hash are included in the
Signature packet to provide a quick test to reject some invalid
signatures.
Algorithm-Specific Fields for RSA signatures:
- multiprecision integer (MPI) of RSA signature value m**d mod n.
Algorithm-Specific Fields for DSA signatures:
- MPI of DSA value r.
- MPI of DSA value s.
The signature calculation is based on a hash of the signed data, as
described above. The details of the calculation are different for
DSA signatures than for RSA signatures.
With RSA signatures, the hash value is encoded using PKCS#1 encoding
type EMSA-PKCS1-v1_5 as described in Section 9.2 of RFC 3447. This
requires inserting the hash value as an octet string into an ASN.1
structure. The object identifier for the type of hash being used is
included in the structure. The hexadecimal representations for the
currently defined hash algorithms are as follows:
- MD5: 0x2A, 0x86, 0x48, 0x86, 0xF7, 0x0D, 0x02, 0x05
- RIPEMD-160: 0x2B, 0x24, 0x03, 0x02, 0x01
- SHA-1: 0x2B, 0x0E, 0x03, 0x02, 0x1A
- SHA224: 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x04
- SHA256: 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01
- SHA384: 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x02
Callas, et al Standards Track [Page 22]
^L
RFC 4880 OpenPGP Message Format November 2007
- SHA512: 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x03
The ASN.1 Object Identifiers (OIDs) are as follows:
- MD5: 1.2.840.113549.2.5
- RIPEMD-160: 1.3.36.3.2.1
- SHA-1: 1.3.14.3.2.26
- SHA224: 2.16.840.1.101.3.4.2.4
- SHA256: 2.16.840.1.101.3.4.2.1
- SHA384: 2.16.840.1.101.3.4.2.2
- SHA512: 2.16.840.1.101.3.4.2.3
The full hash prefixes for these are as follows:
MD5: 0x30, 0x20, 0x30, 0x0C, 0x06, 0x08, 0x2A, 0x86,
0x48, 0x86, 0xF7, 0x0D, 0x02, 0x05, 0x05, 0x00,
0x04, 0x10
RIPEMD-160: 0x30, 0x21, 0x30, 0x09, 0x06, 0x05, 0x2B, 0x24,
0x03, 0x02, 0x01, 0x05, 0x00, 0x04, 0x14
SHA-1: 0x30, 0x21, 0x30, 0x09, 0x06, 0x05, 0x2b, 0x0E,
0x03, 0x02, 0x1A, 0x05, 0x00, 0x04, 0x14
SHA224: 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86,
0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x04, 0x05,
0x00, 0x04, 0x1C
SHA256: 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86,
0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05,
0x00, 0x04, 0x20
SHA384: 0x30, 0x41, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86,
0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x02, 0x05,
0x00, 0x04, 0x30
SHA512: 0x30, 0x51, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86,
0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x03, 0x05,
0x00, 0x04, 0x40
DSA signatures MUST use hashes that are equal in size to the number
of bits of q, the group generated by the DSA key's generator value.
Callas, et al Standards Track [Page 23]
^L
RFC 4880 OpenPGP Message Format November 2007
If the output size of the chosen hash is larger than the number of
bits of q, the hash result is truncated to fit by taking the number
of leftmost bits equal to the number of bits of q. This (possibly
truncated) hash function result is treated as a number and used
directly in the DSA signature algorithm.
5.2.3. Version 4 Signature Packet Format
The body of a version 4 Signature packet contains:
- One-octet version number (4).
- One-octet signature type.
- One-octet public-key algorithm.
- One-octet hash algorithm.
- Two-octet scalar octet count for following hashed subpacket data.
Note that this is the length in octets of all of the hashed
subpackets; a pointer incremented by this number will skip over
the hashed subpackets.
- Hashed subpacket data set (zero or more subpackets).
- Two-octet scalar octet count for the following unhashed subpacket
data. Note that this is the length in octets of all of the
unhashed subpackets; a pointer incremented by this number will
skip over the unhashed subpackets.
- Unhashed subpacket data set (zero or more subpackets).
- Two-octet field holding the left 16 bits of the signed hash
value.
- One or more multiprecision integers comprising the signature.
This portion is algorithm specific, as described above.
The concatenation of the data being signed and the signature data
from the version number through the hashed subpacket data (inclusive)
is hashed. The resulting hash value is what is signed. The left 16
bits of the hash are included in the Signature packet to provide a
quick test to reject some invalid signatures.
There are two fields consisting of Signature subpackets. The first
field is hashed with the rest of the signature data, while the second
is unhashed. The second set of subpackets is not cryptographically
Callas, et al Standards Track [Page 24]
^L
RFC 4880 OpenPGP Message Format November 2007
protected by the signature and should include only advisory
information.
The algorithms for converting the hash function result to a signature
are described in a section below.
5.2.3.1. Signature Subpacket Specification
A subpacket data set consists of zero or more Signature subpackets.
In Signature packets, the subpacket data set is preceded by a two-
octet scalar count of the length in octets of all the subpackets. A
pointer incremented by this number will skip over the subpacket data
set.
Each subpacket consists of a subpacket header and a body. The header
consists of:
- the subpacket length (1, 2, or 5 octets),
- the subpacket type (1 octet),
and is followed by the subpacket-specific data.
The length includes the type octet but not this length. Its format
is similar to the "new" format packet header lengths, but cannot have
Partial Body Lengths. That is:
if the 1st octet < 192, then
lengthOfLength = 1
subpacketLen = 1st_octet
if the 1st octet >= 192 and < 255, then
lengthOfLength = 2
subpacketLen = ((1st_octet - 192) << 8) + (2nd_octet) + 192
if the 1st octet = 255, then
lengthOfLength = 5
subpacket length = [four-octet scalar starting at 2nd_octet]
The value of the subpacket type octet may be:
0 = Reserved
1 = Reserved
2 = Signature Creation Time
3 = Signature Expiration Time
4 = Exportable Certification
5 = Trust Signature
6 = Regular Expression
Callas, et al Standards Track [Page 25]
^L
RFC 4880 OpenPGP Message Format November 2007
7 = Revocable
8 = Reserved
9 = Key Expiration Time
10 = Placeholder for backward compatibility
11 = Preferred Symmetric Algorithms
12 = Revocation Key
13 = Reserved
14 = Reserved
15 = Reserved
16 = Issuer
17 = Reserved
18 = Reserved
19 = Reserved
20 = Notation Data
21 = Preferred Hash Algorithms
22 = Preferred Compression Algorithms
23 = Key Server Preferences
24 = Preferred Key Server
25 = Primary User ID
26 = Policy URI
27 = Key Flags
28 = Signer's User ID
29 = Reason for Revocation
30 = Features
31 = Signature Target
32 = Embedded Signature
100 To 110 = Private or experimental
An implementation SHOULD ignore any subpacket of a type that it does
not recognize.
Bit 7 of the subpacket type is the "critical" bit. If set, it
denotes that the subpacket is one that is critical for the evaluator
of the signature to recognize. If a subpacket is encountered that is
marked critical but is unknown to the evaluating software, the
evaluator SHOULD consider the signature to be in error.
An evaluator may "recognize" a subpacket, but not implement it. The
purpose of the critical bit is to allow the signer to tell an
evaluator that it would prefer a new, unknown feature to generate an
error than be ignored.
Implementations SHOULD implement the three preferred algorithm
subpackets (11, 21, and 22), as well as the "Reason for Revocation"
subpacket. Note, however, that if an implementation chooses not to
implement some of the preferences, it is required to behave in a
polite manner to respect the wishes of those users who do implement
these preferences.
Callas, et al Standards Track [Page 26]
^L
RFC 4880 OpenPGP Message Format November 2007
5.2.3.2. Signature Subpacket Types
A number of subpackets are currently defined. Some subpackets apply
to the signature itself and some are attributes of the key.
Subpackets that are found on a self-signature are placed on a
certification made by the key itself. Note that a key may have more
than one User ID, and thus may have more than one self-signature, and
differing subpackets.
A subpacket may be found either in the hashed or unhashed subpacket
sections of a signature. If a subpacket is not hashed, then the
information in it cannot be considered definitive because it is not
part of the signature proper.
5.2.3.3. Notes on Self-Signatures
A self-signature is a binding signature made by the key to which the
signature refers. There are three types of self-signatures, the
certification signatures (types 0x10-0x13), the direct-key signature
(type 0x1F), and the subkey binding signature (type 0x18). For
certification self-signatures, each User ID may have a self-
signature, and thus different subpackets in those self-signatures.
For subkey binding signatures, each subkey in fact has a self-
signature. Subpackets that appear in a certification self-signature
apply to the user name, and subpackets that appear in the subkey
self-signature apply to the subkey. Lastly, subpackets on the
direct-key signature apply to the entire key.
Implementing software should interpret a self-signature's preference
subpackets as narrowly as possible. For example, suppose a key has
two user names, Alice and Bob. Suppose that Alice prefers the
symmetric algorithm CAST5, and Bob prefers IDEA or TripleDES. If the
software locates this key via Alice's name, then the preferred
algorithm is CAST5; if software locates the key via Bob's name, then
the preferred algorithm is IDEA. If the key is located by Key ID,
the algorithm of the primary User ID of the key provides the
preferred symmetric algorithm.
Revoking a self-signature or allowing it to expire has a semantic
meaning that varies with the signature type. Revoking the self-
signature on a User ID effectively retires that user name. The
self-signature is a statement, "My name X is tied to my signing key
K" and is corroborated by other users' certifications. If another
user revokes their certification, they are effectively saying that
they no longer believe that name and that key are tied together.
Similarly, if the users themselves revoke their self-signature, then
the users no longer go by that name, no longer have that email
address, etc. Revoking a binding signature effectively retires that
Callas, et al Standards Track [Page 27]
^L
RFC 4880 OpenPGP Message Format November 2007
subkey. Revoking a direct-key signature cancels that signature.
Please see the "Reason for Revocation" subpacket (Section 5.2.3.23)
for more relevant detail.
Since a self-signature contains important information about the key's
use, an implementation SHOULD allow the user to rewrite the self-
signature, and important information in it, such as preferences and
key expiration.
It is good practice to verify that a self-signature imported into an
implementation doesn't advertise features that the implementation
doesn't support, rewriting the signature as appropriate.
An implementation that encounters multiple self-signatures on the
same object may resolve the ambiguity in any way it sees fit, but it
is RECOMMENDED that priority be given to the most recent self-
signature.
5.2.3.4. Signature Creation Time
(4-octet time field)
The time the signature was made.
MUST be present in the hashed area.
5.2.3.5. Issuer
(8-octet Key ID)
The OpenPGP Key ID of the key issuing the signature.
5.2.3.6. Key Expiration Time
(4-octet time field)
The validity period of the key. This is the number of seconds after
the key creation time that the key expires. If this is not present
or has a value of zero, the key never expires. This is found only on
a self-signature.
5.2.3.7. Preferred Symmetric Algorithms
(array of one-octet values)
Symmetric algorithm numbers that indicate which algorithms the key
holder prefers to use. The subpacket body is an ordered list of
octets with the most preferred listed first. It is assumed that only
Callas, et al Standards Track [Page 28]
^L
RFC 4880 OpenPGP Message Format November 2007
algorithms listed are supported by the recipient's software.
Algorithm numbers are in Section 9. This is only found on a self-
signature.
5.2.3.8. Preferred Hash Algorithms
(array of one-octet values)
Message digest algorithm numbers that indicate which algorithms the
key holder prefers to receive. Like the preferred symmetric
algorithms, the list is ordered. Algorithm numbers are in Section 9.
This is only found on a self-signature.
5.2.3.9. Preferred Compression Algorithms
(array of one-octet values)
Compression algorithm numbers that indicate which algorithms the key
holder prefers to use. Like the preferred symmetric algorithms, the
list is ordered. Algorithm numbers are in Section 9. If this
subpacket is not included, ZIP is preferred. A zero denotes that
uncompressed data is preferred; the key holder's software might have
no compression software in that implementation. This is only found
on a self-signature.
5.2.3.10. Signature Expiration Time
(4-octet time field)
The validity period of the signature. This is the number of seconds
after the signature creation time that the signature expires. If
this is not present or has a value of zero, it never expires.
5.2.3.11. Exportable Certification
(1 octet of exportability, 0 for not, 1 for exportable)
This subpacket denotes whether a certification signature is
"exportable", to be used by other users than the signature's issuer.
The packet body contains a Boolean flag indicating whether the
signature is exportable. If this packet is not present, the
certification is exportable; it is equivalent to a flag containing a
1.
Non-exportable, or "local", certifications are signatures made by a
user to mark a key as valid within that user's implementation only.
Callas, et al Standards Track [Page 29]
^L
RFC 4880 OpenPGP Message Format November 2007
Thus, when an implementation prepares a user's copy of a key for
transport to another user (this is the process of "exporting" the
key), any local certification signatures are deleted from the key.
The receiver of a transported key "imports" it, and likewise trims
any local certifications. In normal operation, there won't be any,
assuming the import is performed on an exported key. However, there
are instances where this can reasonably happen. For example, if an
implementation allows keys to be imported from a key database in
addition to an exported key, then this situation can arise.
Some implementations do not represent the interest of a single user
(for example, a key server). Such implementations always trim local
certifications from any key they handle.
5.2.3.12. Revocable
(1 octet of revocability, 0 for not, 1 for revocable)
Signature's revocability status. The packet body contains a Boolean
flag indicating whether the signature is revocable. Signatures that
are not revocable have any later revocation signatures ignored. They
represent a commitment by the signer that he cannot revoke his
signature for the life of his key. If this packet is not present,
the signature is revocable.
5.2.3.13. Trust Signature
(1 octet "level" (depth), 1 octet of trust amount)
Signer asserts that the key is not only valid but also trustworthy at
the specified level. Level 0 has the same meaning as an ordinary
validity signature. Level 1 means that the signed key is asserted to
be a valid trusted introducer, with the 2nd octet of the body
specifying the degree of trust. Level 2 means that the signed key is
asserted to be trusted to issue level 1 trust signatures, i.e., that
it is a "meta introducer". Generally, a level n trust signature
asserts that a key is trusted to issue level n-1 trust signatures.
The trust amount is in a range from 0-255, interpreted such that
values less than 120 indicate partial trust and values of 120 or
greater indicate complete trust. Implementations SHOULD emit values
of 60 for partial trust and 120 for complete trust.
Callas, et al Standards Track [Page 30]
^L
RFC 4880 OpenPGP Message Format November 2007
5.2.3.14. Regular Expression
(null-terminated regular expression)
Used in conjunction with trust Signature packets (of level > 0) to
limit the scope of trust that is extended. Only signatures by the
target key on User IDs that match the regular expression in the body
of this packet have trust extended by the trust Signature subpacket.
The regular expression uses the same syntax as the Henry Spencer's
"almost public domain" regular expression [REGEX] package. A
description of the syntax is found in Section 8 below.
5.2.3.15. Revocation Key
(1 octet of class, 1 octet of public-key algorithm ID, 20 octets of
fingerprint)
Authorizes the specified key to issue revocation signatures for this
key. Class octet must have bit 0x80 set. If the bit 0x40 is set,
then this means that the revocation information is sensitive. Other
bits are for future expansion to other kinds of authorizations. This
is found on a self-signature.
If the "sensitive" flag is set, the keyholder feels this subpacket
contains private trust information that describes a real-world
sensitive relationship. If this flag is set, implementations SHOULD
NOT export this signature to other users except in cases where the
data needs to be available: when the signature is being sent to the
designated revoker, or when it is accompanied by a revocation
signature from that revoker. Note that it may be appropriate to
isolate this subpacket within a separate signature so that it is not
combined with other subpackets that need to be exported.
5.2.3.16. Notation Data
(4 octets of flags, 2 octets of name length (M),
2 octets of value length (N),
M octets of name data,
N octets of value data)
This subpacket describes a "notation" on the signature that the
issuer wishes to make. The notation has a name and a value, each of
which are strings of octets. There may be more than one notation in
a signature. Notations can be used for any extension the issuer of
the signature cares to make. The "flags" field holds four octets of
flags.
Callas, et al Standards Track [Page 31]
^L
RFC 4880 OpenPGP Message Format November 2007
All undefined flags MUST be zero. Defined flags are as follows:
First octet: 0x80 = human-readable. This note value is text.
Other octets: none.
Notation names are arbitrary strings encoded in UTF-8. They reside
in two namespaces: The IETF namespace and the user namespace.
The IETF namespace is registered with IANA. These names MUST NOT
contain the "@" character (0x40). This is a tag for the user
namespace.
Names in the user namespace consist of a UTF-8 string tag followed by
"@" followed by a DNS domain name. Note that the tag MUST NOT
contain an "@" character. For example, the "sample" tag used by
Example Corporation could be "sample@example.com".
Names in a user space are owned and controlled by the owners of that
domain. Obviously, it's bad form to create a new name in a DNS space
that you don't own.
Since the user namespace is in the form of an email address,
implementers MAY wish to arrange for that address to reach a person
who can be consulted about the use of the named tag. Note that due
to UTF-8 encoding, not all valid user space name tags are valid email
addresses.
If there is a critical notation, the criticality applies to that
specific notation and not to notations in general.
5.2.3.17. Key Server Preferences
(N octets of flags)
This is a list of one-bit flags that indicate preferences that the
key holder has about how the key is handled on a key server. All
undefined flags MUST be zero.
First octet: 0x80 = No-modify
the key holder requests that this key only be modified or updated
by the key holder or an administrator of the key server.
This is found only on a self-signature.
Callas, et al Standards Track [Page 32]
^L
RFC 4880 OpenPGP Message Format November 2007
5.2.3.18. Preferred Key Server
(String)
This is a URI of a key server that the key holder prefers be used for
updates. Note that keys with multiple User IDs can have a preferred
key server for each User ID. Note also that since this is a URI, the
key server can actually be a copy of the key retrieved by ftp, http,
finger, etc.
5.2.3.19. Primary User ID
(1 octet, Boolean)
This is a flag in a User ID's self-signature that states whether this
User ID is the main User ID for this key. It is reasonable for an
implementation to resolve ambiguities in preferences, etc. by
referring to the primary User ID. If this flag is absent, its value
is zero. If more than one User ID in a key is marked as primary, the
implementation may resolve the ambiguity in any way it sees fit, but
it is RECOMMENDED that priority be given to the User ID with the most
recent self-signature.
When appearing on a self-signature on a User ID packet, this
subpacket applies only to User ID packets. When appearing on a
self-signature on a User Attribute packet, this subpacket applies
only to User Attribute packets. That is to say, there are two
different and independent "primaries" -- one for User IDs, and one
for User Attributes.
5.2.3.20. Policy URI
(String)
This subpacket contains a URI of a document that describes the policy
under which the signature was issued.
5.2.3.21. Key Flags
(N octets of flags)
This subpacket contains a list of binary flags that hold information
about a key. It is a string of octets, and an implementation MUST
NOT assume a fixed size. This is so it can grow over time. If a
list is shorter than an implementation expects, the unstated flags
are considered to be zero. The defined flags are as follows:
Callas, et al Standards Track [Page 33]
^L
RFC 4880 OpenPGP Message Format November 2007
First octet:
0x01 - This key may be used to certify other keys.
0x02 - This key may be used to sign data.
0x04 - This key may be used to encrypt communications.
0x08 - This key may be used to encrypt storage.
0x10 - The private component of this key may have been split
by a secret-sharing mechanism.
0x20 - This key may be used for authentication.
0x80 - The private component of this key may be in the
possession of more than one person.
Usage notes:
The flags in this packet may appear in self-signatures or in
certification signatures. They mean different things depending on
who is making the statement -- for example, a certification signature
that has the "sign data" flag is stating that the certification is
for that use. On the other hand, the "communications encryption"
flag in a self-signature is stating a preference that a given key be
used for communications. Note however, that it is a thorny issue to
determine what is "communications" and what is "storage". This
decision is left wholly up to the implementation; the authors of this
document do not claim any special wisdom on the issue and realize
that accepted opinion may change.
The "split key" (0x10) and "group key" (0x80) flags are placed on a
self-signature only; they are meaningless on a certification
signature. They SHOULD be placed only on a direct-key signature
(type 0x1F) or a subkey signature (type 0x18), one that refers to the
key the flag applies to.
5.2.3.22. Signer's User ID
(String)
This subpacket allows a keyholder to state which User ID is
responsible for the signing. Many keyholders use a single key for
different purposes, such as business communications as well as
personal communications. This subpacket allows such a keyholder to
state which of their roles is making a signature.
Callas, et al Standards Track [Page 34]
^L
RFC 4880 OpenPGP Message Format November 2007
This subpacket is not appropriate to use to refer to a User Attribute
packet.
5.2.3.23. Reason for Revocation
(1 octet of revocation code, N octets of reason string)
This subpacket is used only in key revocation and certification
revocation signatures. It describes the reason why the key or
certificate was revoked.
The first octet contains a machine-readable code that denotes the
reason for the revocation:
0 - No reason specified (key revocations or cert revocations)
1 - Key is superseded (key revocations)
2 - Key material has been compromised (key revocations)
3 - Key is retired and no longer used (key revocations)
32 - User ID information is no longer valid (cert revocations)
100-110 - Private Use
Following the revocation code is a string of octets that gives
information about the Reason for Revocation in human-readable form
(UTF-8). The string may be null, that is, of zero length. The
length of the subpacket is the length of the reason string plus one.
An implementation SHOULD implement this subpacket, include it in all
revocation signatures, and interpret revocations appropriately.
There are important semantic differences between the reasons, and
there are thus important reasons for revoking signatures.
If a key has been revoked because of a compromise, all signatures
created by that key are suspect. However, if it was merely
superseded or retired, old signatures are still valid. If the
revoked signature is the self-signature for certifying a User ID, a
revocation denotes that that user name is no longer in use. Such a
revocation SHOULD include a 0x20 code.
Note that any signature may be revoked, including a certification on
some other person's key. There are many good reasons for revoking a
certification signature, such as the case where the keyholder leaves
the employ of a business with an email address. A revoked
certification is no longer a part of validity calculations.
Callas, et al Standards Track [Page 35]
^L
RFC 4880 OpenPGP Message Format November 2007
5.2.3.24. Features
(N octets of flags)
The Features subpacket denotes which advanced OpenPGP features a
user's implementation supports. This is so that as features are
added to OpenPGP that cannot be backwards-compatible, a user can
state that they can use that feature. The flags are single bits that
indicate that a given feature is supported.
This subpacket is similar to a preferences subpacket, and only
appears in a self-signature.
An implementation SHOULD NOT use a feature listed when sending to a
user who does not state that they can use it.
Defined features are as follows:
First octet:
0x01 - Modification Detection (packets 18 and 19)
If an implementation implements any of the defined features, it
SHOULD implement the Features subpacket, too.
An implementation may freely infer features from other suitable
implementation-dependent mechanisms.
5.2.3.25. Signature Target
(1 octet public-key algorithm, 1 octet hash algorithm, N octets hash)
This subpacket identifies a specific target signature to which a
signature refers. For revocation signatures, this subpacket
provides explicit designation of which signature is being revoked.
For a third-party or timestamp signature, this designates what
signature is signed. All arguments are an identifier of that target
signature.
The N octets of hash data MUST be the size of the hash of the
signature. For example, a target signature with a SHA-1 hash MUST
have 20 octets of hash data.
Callas, et al Standards Track [Page 36]
^L
RFC 4880 OpenPGP Message Format November 2007
5.2.3.26. Embedded Signature
(1 signature packet body)
This subpacket contains a complete Signature packet body as
specified in Section 5.2 above. It is useful when one signature
needs to refer to, or be incorporated in, another signature.
5.2.4. Computing Signatures
All signatures are formed by producing a hash over the signature
data, and then using the resulting hash in the signature algorithm.
For binary document signatures (type 0x00), the document data is
hashed directly. For text document signatures (type 0x01), the
document is canonicalized by converting line endings to <CR><LF>,
and the resulting data is hashed.
When a signature is made over a key, the hash data starts with the
octet 0x99, followed by a two-octet length of the key, and then body
of the key packet. (Note that this is an old-style packet header for
a key packet with two-octet length.) A subkey binding signature
(type 0x18) or primary key binding signature (type 0x19) then hashes
the subkey using the same format as the main key (also using 0x99 as
the first octet). Key revocation signatures (types 0x20 and 0x28)
hash only the key being revoked.
A certification signature (type 0x10 through 0x13) hashes the User
ID being bound to the key into the hash context after the above
data. A V3 certification hashes the contents of the User ID or
attribute packet packet, without any header. A V4 certification
hashes the constant 0xB4 for User ID certifications or the constant
0xD1 for User Attribute certifications, followed by a four-octet
number giving the length of the User ID or User Attribute data, and
then the User ID or User Attribute data.
When a signature is made over a Signature packet (type 0x50), the
hash data starts with the octet 0x88, followed by the four-octet
length of the signature, and then the body of the Signature packet.
(Note that this is an old-style packet header for a Signature packet
with the length-of-length set to zero.) The unhashed subpacket data
of the Signature packet being hashed is not included in the hash, and
the unhashed subpacket data length value is set to zero.
Once the data body is hashed, then a trailer is hashed. A V3
signature hashes five octets of the packet body, starting from the
signature type field. This data is the signature type, followed by
the four-octet signature time. A V4 signature hashes the packet body
Callas, et al Standards Track [Page 37]
^L
RFC 4880 OpenPGP Message Format November 2007
starting from its first field, the version number, through the end
of the hashed subpacket data. Thus, the fields hashed are the
signature version, the signature type, the public-key algorithm, the
hash algorithm, the hashed subpacket length, and the hashed
subpacket body.
V4 signatures also hash in a final trailer of six octets: the
version of the Signature packet, i.e., 0x04; 0xFF; and a four-octet,
big-endian number that is the length of the hashed data from the
Signature packet (note that this number does not include these final
six octets).
After all this has been hashed in a single hash context, the
resulting hash field is used in the signature algorithm and placed
at the end of the Signature packet.
5.2.4.1. Subpacket Hints
It is certainly possible for a signature to contain conflicting
information in subpackets. For example, a signature may contain
multiple copies of a preference or multiple expiration times. In
most cases, an implementation SHOULD use the last subpacket in the
signature, but MAY use any conflict resolution scheme that makes
more sense. Please note that we are intentionally leaving conflict
resolution to the implementer; most conflicts are simply syntax
errors, and the wishy-washy language here allows a receiver to be
generous in what they accept, while putting pressure on a creator to
be stingy in what they generate.
Some apparent conflicts may actually make sense -- for example,
suppose a keyholder has a V3 key and a V4 key that share the same
RSA key material. Either of these keys can verify a signature
created by the other, and it may be reasonable for a signature to
contain an issuer subpacket for each key, as a way of explicitly
tying those keys to the signature.
5.3. Symmetric-Key Encrypted Session Key Packets (Tag 3)
The Symmetric-Key Encrypted Session Key packet holds the
symmetric-key encryption of a session key used to encrypt a message.
Zero or more Public-Key Encrypted Session Key packets and/or
Symmetric-Key Encrypted Session Key packets may precede a
Symmetrically Encrypted Data packet that holds an encrypted message.
The message is encrypted with a session key, and the session key is
itself encrypted and stored in the Encrypted Session Key packet or
the Symmetric-Key Encrypted Session Key packet.
Callas, et al Standards Track [Page 38]
^L
RFC 4880 OpenPGP Message Format November 2007
If the Symmetrically Encrypted Data packet is preceded by one or
more Symmetric-Key Encrypted Session Key packets, each specifies a
passphrase that may be used to decrypt the message. This allows a
message to be encrypted to a number of public keys, and also to one
or more passphrases. This packet type is new and is not generated
by PGP 2.x or PGP 5.0.
The body of this packet consists of:
- A one-octet version number. The only currently defined version
is 4.
- A one-octet number describing the symmetric algorithm used.
- A string-to-key (S2K) specifier, length as defined above.
- Optionally, the encrypted session key itself, which is decrypted
with the string-to-key object.
If the encrypted session key is not present (which can be detected
on the basis of packet length and S2K specifier size), then the S2K
algorithm applied to the passphrase produces the session key for
decrypting the file, using the symmetric cipher algorithm from the
Symmetric-Key Encrypted Session Key packet.
If the encrypted session key is present, the result of applying the
S2K algorithm to the passphrase is used to decrypt just that
encrypted session key field, using CFB mode with an IV of all zeros.
The decryption result consists of a one-octet algorithm identifier
that specifies the symmetric-key encryption algorithm used to
encrypt the following Symmetrically Encrypted Data packet, followed
by the session key octets themselves.
Note: because an all-zero IV is used for this decryption, the S2K
specifier MUST use a salt value, either a Salted S2K or an
Iterated-Salted S2K. The salt value will ensure that the decryption
key is not repeated even if the passphrase is reused.
5.4. One-Pass Signature Packets (Tag 4)
The One-Pass Signature packet precedes the signed data and contains
enough information to allow the receiver to begin calculating any
hashes needed to verify the signature. It allows the Signature
packet to be placed at the end of the message, so that the signer
can compute the entire signed message in one pass.
A One-Pass Signature does not interoperate with PGP 2.6.x or
earlier.
Callas, et al Standards Track [Page 39]
^L
RFC 4880 OpenPGP Message Format November 2007
The body of this packet consists of:
- A one-octet version number. The current version is 3.
- A one-octet signature type. Signature types are described in
Section 5.2.1.
- A one-octet number describing the hash algorithm used.
- A one-octet number describing the public-key algorithm used.
- An eight-octet number holding the Key ID of the signing key.
- A one-octet number holding a flag showing whether the signature
is nested. A zero value indicates that the next packet is
another One-Pass Signature packet that describes another
signature to be applied to the same message data.
Note that if a message contains more than one one-pass signature,
then the Signature packets bracket the message; that is, the first
Signature packet after the message corresponds to the last one-pass
packet and the final Signature packet corresponds to the first
one-pass packet.
5.5. Key Material Packet
A key material packet contains all the information about a public or
private key. There are four variants of this packet type, and two
major versions. Consequently, this section is complex.
5.5.1. Key Packet Variants
5.5.1.1. Public-Key Packet (Tag 6)
A Public-Key packet starts a series of packets that forms an OpenPGP
key (sometimes called an OpenPGP certificate).
5.5.1.2. Public-Subkey Packet (Tag 14)
A Public-Subkey packet (tag 14) has exactly the same format as a
Public-Key packet, but denotes a subkey. One or more subkeys may be
associated with a top-level key. By convention, the top-level key
provides signature services, and the subkeys provide encryption
services.
Note: in PGP 2.6.x, tag 14 was intended to indicate a comment
packet. This tag was selected for reuse because no previous version
of PGP ever emitted comment packets but they did properly ignore
Callas, et al Standards Track [Page 40]
^L
RFC 4880 OpenPGP Message Format November 2007
them. Public-Subkey packets are ignored by PGP 2.6.x and do not
cause it to fail, providing a limited degree of backward
compatibility.
5.5.1.3. Secret-Key Packet (Tag 5)
A Secret-Key packet contains all the information that is found in a
Public-Key packet, including the public-key material, but also
includes the secret-key material after all the public-key fields.
5.5.1.4. Secret-Subkey Packet (Tag 7)
A Secret-Subkey packet (tag 7) is the subkey analog of the Secret
Key packet and has exactly the same format.
5.5.2. Public-Key Packet Formats
There are two versions of key-material packets. Version 3 packets
were first generated by PGP 2.6. Version 4 keys first appeared in
PGP 5.0 and are the preferred key version for OpenPGP.
OpenPGP implementations MUST create keys with version 4 format. V3
keys are deprecated; an implementation MUST NOT generate a V3 key,
but MAY accept it.
A version 3 public key or public-subkey packet contains:
- A one-octet version number (3).
- A four-octet number denoting the time that the key was created.
- A two-octet number denoting the time in days that this key is
valid. If this number is zero, then it does not expire.
- A one-octet number denoting the public-key algorithm of this key.
- A series of multiprecision integers comprising the key material:
- a multiprecision integer (MPI) of RSA public modulus n;
- an MPI of RSA public encryption exponent e.
V3 keys are deprecated. They contain three weaknesses. First, it is
relatively easy to construct a V3 key that has the same Key ID as any
other key because the Key ID is simply the low 64 bits of the public
modulus. Secondly, because the fingerprint of a V3 key hashes the
key material, but not its length, there is an increased opportunity
for fingerprint collisions. Third, there are weaknesses in the MD5
Callas, et al Standards Track [Page 41]
^L
RFC 4880 OpenPGP Message Format November 2007
hash algorithm that make developers prefer other algorithms. See
below for a fuller discussion of Key IDs and fingerprints.
V2 keys are identical to the deprecated V3 keys except for the
version number. An implementation MUST NOT generate them and MAY
accept or reject them as it sees fit.
The version 4 format is similar to the version 3 format except for
the absence of a validity period. This has been moved to the
Signature packet. In addition, fingerprints of version 4 keys are
calculated differently from version 3 keys, as described in the
section "Enhanced Key Formats".
A version 4 packet contains:
- A one-octet version number (4).
- A four-octet number denoting the time that the key was created.
- A one-octet number denoting the public-key algorithm of this key.
- A series of multiprecision integers comprising the key material.
This algorithm-specific portion is:
Algorithm-Specific Fields for RSA public keys:
- multiprecision integer (MPI) of RSA public modulus n;
- MPI of RSA public encryption exponent e.
Algorithm-Specific Fields for DSA public keys:
- MPI of DSA prime p;
- MPI of DSA group order q (q is a prime divisor of p-1);
- MPI of DSA group generator g;
- MPI of DSA public-key value y (= g**x mod p where x
is secret).
Algorithm-Specific Fields for Elgamal public keys:
- MPI of Elgamal prime p;
- MPI of Elgamal group generator g;
Callas, et al Standards Track [Page 42]
^L
RFC 4880 OpenPGP Message Format November 2007
- MPI of Elgamal public key value y (= g**x mod p where x
is secret).
5.5.3. Secret-Key Packet Formats
The Secret-Key and Secret-Subkey packets contain all the data of the
Public-Key and Public-Subkey packets, with additional algorithm-
specific secret-key data appended, usually in encrypted form.
The packet contains:
- A Public-Key or Public-Subkey packet, as described above.
- One octet indicating string-to-key usage conventions. Zero
indicates that the secret-key data is not encrypted. 255 or 254
indicates that a string-to-key specifier is being given. Any
other value is a symmetric-key encryption algorithm identifier.
- [Optional] If string-to-key usage octet was 255 or 254, a one-
octet symmetric encryption algorithm.
- [Optional] If string-to-key usage octet was 255 or 254, a
string-to-key specifier. The length of the string-to-key
specifier is implied by its type, as described above.
- [Optional] If secret data is encrypted (string-to-key usage octet
not zero), an Initial Vector (IV) of the same length as the
cipher's block size.
- Plain or encrypted multiprecision integers comprising the secret
key data. These algorithm-specific fields are as described
below.
- If the string-to-key usage octet is zero or 255, then a two-octet
checksum of the plaintext of the algorithm-specific portion (sum
of all octets, mod 65536). If the string-to-key usage octet was
254, then a 20-octet SHA-1 hash of the plaintext of the
algorithm-specific portion. This checksum or hash is encrypted
together with the algorithm-specific fields (if string-to-key
usage octet is not zero). Note that for all other values, a
two-octet checksum is required.
Algorithm-Specific Fields for RSA secret keys:
- multiprecision integer (MPI) of RSA secret exponent d.
- MPI of RSA secret prime value p.
Callas, et al Standards Track [Page 43]
^L
RFC 4880 OpenPGP Message Format November 2007
- MPI of RSA secret prime value q (p < q).
- MPI of u, the multiplicative inverse of p, mod q.
Algorithm-Specific Fields for DSA secret keys:
- MPI of DSA secret exponent x.
Algorithm-Specific Fields for Elgamal secret keys:
- MPI of Elgamal secret exponent x.
Secret MPI values can be encrypted using a passphrase. If a string-
to-key specifier is given, that describes the algorithm for
converting the passphrase to a key, else a simple MD5 hash of the
passphrase is used. Implementations MUST use a string-to-key
specifier; the simple hash is for backward compatibility and is
deprecated, though implementations MAY continue to use existing
private keys in the old format. The cipher for encrypting the MPIs
is specified in the Secret-Key packet.
Encryption/decryption of the secret data is done in CFB mode using
the key created from the passphrase and the Initial Vector from the
packet. A different mode is used with V3 keys (which are only RSA)
than with other key formats. With V3 keys, the MPI bit count prefix
(i.e., the first two octets) is not encrypted. Only the MPI non-
prefix data is encrypted. Furthermore, the CFB state is
resynchronized at the beginning of each new MPI value, so that the
CFB block boundary is aligned with the start of the MPI data.
With V4 keys, a simpler method is used. All secret MPI values are
encrypted in CFB mode, including the MPI bitcount prefix.
The two-octet checksum that follows the algorithm-specific portion is
the algebraic sum, mod 65536, of the plaintext of all the algorithm-
specific octets (including MPI prefix and data). With V3 keys, the
checksum is stored in the clear. With V4 keys, the checksum is
encrypted like the algorithm-specific data. This value is used to
check that the passphrase was correct. However, this checksum is
deprecated; an implementation SHOULD NOT use it, but should rather
use the SHA-1 hash denoted with a usage octet of 254. The reason for
this is that there are some attacks that involve undetectably
modifying the secret key.
Callas, et al Standards Track [Page 44]
^L
RFC 4880 OpenPGP Message Format November 2007
5.6. Compressed Data Packet (Tag 8)
The Compressed Data packet contains compressed data. Typically, this
packet is found as the contents of an encrypted packet, or following
a Signature or One-Pass Signature packet, and contains a literal data
packet.
The body of this packet consists of:
- One octet that gives the algorithm used to compress the packet.
- Compressed data, which makes up the remainder of the packet.
A Compressed Data Packet's body contains an block that compresses
some set of packets. See section "Packet Composition" for details on
how messages are formed.
ZIP-compressed packets are compressed with raw RFC 1951 [RFC1951]
DEFLATE blocks. Note that PGP V2.6 uses 13 bits of compression. If
an implementation uses more bits of compression, PGP V2.6 cannot
decompress it.
ZLIB-compressed packets are compressed with RFC 1950 [RFC1950] ZLIB-
style blocks.
BZip2-compressed packets are compressed using the BZip2 [BZ2]
algorithm.
5.7. Symmetrically Encrypted Data Packet (Tag 9)
The Symmetrically Encrypted Data packet contains data encrypted with
a symmetric-key algorithm. When it has been decrypted, it contains
other packets (usually a literal data packet or compressed data
packet, but in theory other Symmetrically Encrypted Data packets or
sequences of packets that form whole OpenPGP messages).
The body of this packet consists of:
- Encrypted data, the output of the selected symmetric-key cipher
operating in OpenPGP's variant of Cipher Feedback (CFB) mode.
The symmetric cipher used may be specified in a Public-Key or
Symmetric-Key Encrypted Session Key packet that precedes the
Symmetrically Encrypted Data packet. In that case, the cipher
algorithm octet is prefixed to the session key before it is
encrypted. If no packets of these types precede the encrypted data,
the IDEA algorithm is used with the session key calculated as the MD5
hash of the passphrase, though this use is deprecated.
Callas, et al Standards Track [Page 45]
^L
RFC 4880 OpenPGP Message Format November 2007
The data is encrypted in CFB mode, with a CFB shift size equal to the
cipher's block size. The Initial Vector (IV) is specified as all
zeros. Instead of using an IV, OpenPGP prefixes a string of length
equal to the block size of the cipher plus two to the data before it
is encrypted. The first block-size octets (for example, 8 octets for
a 64-bit block length) are random, and the following two octets are
copies of the last two octets of the IV. For example, in an 8-octet
block, octet 9 is a repeat of octet 7, and octet 10 is a repeat of
octet 8. In a cipher of length 16, octet 17 is a repeat of octet 15
and octet 18 is a repeat of octet 16. As a pedantic clarification,
in both these examples, we consider the first octet to be numbered 1.
After encrypting the first block-size-plus-two octets, the CFB state
is resynchronized. The last block-size octets of ciphertext are
passed through the cipher and the block boundary is reset.
The repetition of 16 bits in the random data prefixed to the message
allows the receiver to immediately check whether the session key is
incorrect. See the "Security Considerations" section for hints on
the proper use of this "quick check".
5.8. Marker Packet (Obsolete Literal Packet) (Tag 10)
An experimental version of PGP used this packet as the Literal
packet, but no released version of PGP generated Literal packets with
this tag. With PGP 5.x, this packet has been reassigned and is
reserved for use as the Marker packet.
The body of this packet consists of:
- The three octets 0x50, 0x47, 0x50 (which spell "PGP" in UTF-8).
Such a packet MUST be ignored when received. It may be placed at the
beginning of a message that uses features not available in PGP 2.6.x
in order to cause that version to report that newer software is
necessary to process the message.
5.9. Literal Data Packet (Tag 11)
A Literal Data packet contains the body of a message; data that is
not to be further interpreted.
The body of this packet consists of:
- A one-octet field that describes how the data is formatted.
Callas, et al Standards Track [Page 46]
^L
RFC 4880 OpenPGP Message Format November 2007
If it is a 'b' (0x62), then the Literal packet contains binary data.
If it is a 't' (0x74), then it contains text data, and thus may need
line ends converted to local form, or other text-mode changes. The
tag 'u' (0x75) means the same as 't', but also indicates that
implementation believes that the literal data contains UTF-8 text.
Early versions of PGP also defined a value of 'l' as a 'local' mode
for machine-local conversions. RFC 1991 [RFC1991] incorrectly stated
this local mode flag as '1' (ASCII numeral one). Both of these local
modes are deprecated.
- File name as a string (one-octet length, followed by a file
name). This may be a zero-length string. Commonly, if the
source of the encrypted data is a file, this will be the name of
the encrypted file. An implementation MAY consider the file name
in the Literal packet to be a more authoritative name than the
actual file name.
If the special name "_CONSOLE" is used, the message is considered to
be "for your eyes only". This advises that the message data is
unusually sensitive, and the receiving program should process it more
carefully, perhaps avoiding storing the received data to disk, for
example.
- A four-octet number that indicates a date associated with the
literal data. Commonly, the date might be the modification date
of a file, or the time the packet was created, or a zero that
indicates no specific time.
- The remainder of the packet is literal data.
Text data is stored with <CR><LF> text endings (i.e., network-
normal line endings). These should be converted to native line
endings by the receiving software.
5.10. Trust Packet (Tag 12)
The Trust packet is used only within keyrings and is not normally
exported. Trust packets contain data that record the user's
specifications of which key holders are trustworthy introducers,
along with other information that implementing software uses for
trust information. The format of Trust packets is defined by a given
implementation.
Trust packets SHOULD NOT be emitted to output streams that are
transferred to other users, and they SHOULD be ignored on any input
other than local keyring files.
Callas, et al Standards Track [Page 47]
^L
RFC 4880 OpenPGP Message Format November 2007
5.11. User ID Packet (Tag 13)
A User ID packet consists of UTF-8 text that is intended to represent
the name and email address of the key holder. By convention, it
includes an RFC 2822 [RFC2822] mail name-addr, but there are no
restrictions on its content. The packet length in the header
specifies the length of the User ID.
5.12. User Attribute Packet (Tag 17)
The User Attribute packet is a variation of the User ID packet. It
is capable of storing more types of data than the User ID packet,
which is limited to text. Like the User ID packet, a User Attribute
packet may be certified by the key owner ("self-signed") or any other
key owner who cares to certify it. Except as noted, a User Attribute
packet may be used anywhere that a User ID packet may be used.
While User Attribute packets are not a required part of the OpenPGP
standard, implementations SHOULD provide at least enough
compatibility to properly handle a certification signature on the
User Attribute packet. A simple way to do this is by treating the
User Attribute packet as a User ID packet with opaque contents, but
an implementation may use any method desired.
The User Attribute packet is made up of one or more attribute
subpackets. Each subpacket consists of a subpacket header and a
body. The header consists of:
- the subpacket length (1, 2, or 5 octets)
- the subpacket type (1 octet)
and is followed by the subpacket specific data.
The only currently defined subpacket type is 1, signifying an image.
An implementation SHOULD ignore any subpacket of a type that it does
not recognize. Subpacket types 100 through 110 are reserved for
private or experimental use.
5.12.1. The Image Attribute Subpacket
The Image Attribute subpacket is used to encode an image, presumably
(but not required to be) that of the key owner.
The Image Attribute subpacket begins with an image header. The first
two octets of the image header contain the length of the image
header. Note that unlike other multi-octet numerical values in this
document, due to a historical accident this value is encoded as a
Callas, et al Standards Track [Page 48]
^L
RFC 4880 OpenPGP Message Format November 2007
little-endian number. The image header length is followed by a
single octet for the image header version. The only currently
defined version of the image header is 1, which is a 16-octet image
header. The first three octets of a version 1 image header are thus
0x10, 0x00, 0x01.
The fourth octet of a version 1 image header designates the encoding
format of the image. The only currently defined encoding format is
the value 1 to indicate JPEG. Image format types 100 through 110 are
reserved for private or experimental use. The rest of the version 1
image header is made up of 12 reserved octets, all of which MUST be
set to 0.
The rest of the image subpacket contains the image itself. As the
only currently defined image type is JPEG, the image is encoded in
the JPEG File Interchange Format (JFIF), a standard file format for
JPEG images [JFIF].
An implementation MAY try to determine the type of an image by
examination of the image data if it is unable to handle a particular
version of the image header or if a specified encoding format value
is not recognized.
5.13. Sym. Encrypted Integrity Protected Data Packet (Tag 18)
The Symmetrically Encrypted Integrity Protected Data packet is a
variant of the Symmetrically Encrypted Data packet. It is a new
feature created for OpenPGP that addresses the problem of detecting a
modification to encrypted data. It is used in combination with a
Modification Detection Code packet.
There is a corresponding feature in the features Signature subpacket
that denotes that an implementation can properly use this packet
type. An implementation MUST support decrypting these packets and
SHOULD prefer generating them to the older Symmetrically Encrypted
Data packet when possible. Since this data packet protects against
modification attacks, this standard encourages its proliferation.
While blanket adoption of this data packet would create
interoperability problems, rapid adoption is nevertheless important.
An implementation SHOULD specifically denote support for this packet,
but it MAY infer it from other mechanisms.
For example, an implementation might infer from the use of a cipher
such as Advanced Encryption Standard (AES) or Twofish that a user
supports this feature. It might place in the unhashed portion of
another user's key signature a Features subpacket. It might also
present a user with an opportunity to regenerate their own self-
signature with a Features subpacket.
Callas, et al Standards Track [Page 49]
^L
RFC 4880 OpenPGP Message Format November 2007
This packet contains data encrypted with a symmetric-key algorithm
and protected against modification by the SHA-1 hash algorithm. When
it has been decrypted, it will typically contain other packets (often
a Literal Data packet or Compressed Data packet). The last decrypted
packet in this packet's payload MUST be a Modification Detection Code
packet.
The body of this packet consists of:
- A one-octet version number. The only currently defined value is
1.
- Encrypted data, the output of the selected symmetric-key cipher
operating in Cipher Feedback mode with shift amount equal to the
block size of the cipher (CFB-n where n is the block size).
The symmetric cipher used MUST be specified in a Public-Key or
Symmetric-Key Encrypted Session Key packet that precedes the
Symmetrically Encrypted Data packet. In either case, the cipher
algorithm octet is prefixed to the session key before it is
encrypted.
The data is encrypted in CFB mode, with a CFB shift size equal to the
cipher's block size. The Initial Vector (IV) is specified as all
zeros. Instead of using an IV, OpenPGP prefixes an octet string to
the data before it is encrypted. The length of the octet string
equals the block size of the cipher in octets, plus two. The first
octets in the group, of length equal to the block size of the cipher,
are random; the last two octets are each copies of their 2nd
preceding octet. For example, with a cipher whose block size is 128
bits or 16 octets, the prefix data will contain 16 random octets,
then two more octets, which are copies of the 15th and 16th octets,
respectively. Unlike the Symmetrically Encrypted Data Packet, no
special CFB resynchronization is done after encrypting this prefix
data. See "OpenPGP CFB Mode" below for more details.
The repetition of 16 bits in the random data prefixed to the message
allows the receiver to immediately check whether the session key is
incorrect.
The plaintext of the data to be encrypted is passed through the SHA-1
hash function, and the result of the hash is appended to the
plaintext in a Modification Detection Code packet. The input to the
hash function includes the prefix data described above; it includes
all of the plaintext, and then also includes two octets of values
0xD3, 0x14. These represent the encoding of a Modification Detection
Code packet tag and length field of 20 octets.
Callas, et al Standards Track [Page 50]
^L
RFC 4880 OpenPGP Message Format November 2007
The resulting hash value is stored in a Modification Detection Code
(MDC) packet, which MUST use the two octet encoding just given to
represent its tag and length field. The body of the MDC packet is
the 20-octet output of the SHA-1 hash.
The Modification Detection Code packet is appended to the plaintext
and encrypted along with the plaintext using the same CFB context.
During decryption, the plaintext data should be hashed with SHA-1,
including the prefix data as well as the packet tag and length field
of the Modification Detection Code packet. The body of the MDC
packet, upon decryption, is compared with the result of the SHA-1
hash.
Any failure of the MDC indicates that the message has been modified
and MUST be treated as a security problem. Failures include a
difference in the hash values, but also the absence of an MDC packet,
or an MDC packet in any position other than the end of the plaintext.
Any failure SHOULD be reported to the user.
Note: future designs of new versions of this packet should consider
rollback attacks since it will be possible for an attacker to change
the version back to 1.
NON-NORMATIVE EXPLANATION
The MDC system, as packets 18 and 19 are called, were created to
provide an integrity mechanism that is less strong than a
signature, yet stronger than bare CFB encryption.
It is a limitation of CFB encryption that damage to the ciphertext
will corrupt the affected cipher blocks and the block following.
Additionally, if data is removed from the end of a CFB-encrypted
block, that removal is undetectable. (Note also that CBC mode has
a similar limitation, but data removed from the front of the block
is undetectable.)
The obvious way to protect or authenticate an encrypted block is
to digitally sign it. However, many people do not wish to
habitually sign data, for a large number of reasons beyond the
scope of this document. Suffice it to say that many people
consider properties such as deniability to be as valuable as
integrity.
OpenPGP addresses this desire to have more security than raw
encryption and yet preserve deniability with the MDC system. An
MDC is intentionally not a MAC. Its name was not selected by
accident. It is analogous to a checksum.
Callas, et al Standards Track [Page 51]
^L
RFC 4880 OpenPGP Message Format November 2007
Despite the fact that it is a relatively modest system, it has
proved itself in the real world. It is an effective defense to
several attacks that have surfaced since it has been created. It
has met its modest goals admirably.
Consequently, because it is a modest security system, it has
modest requirements on the hash function(s) it employs. It does
not rely on a hash function being collision-free, it relies on a
hash function being one-way. If a forger, Frank, wishes to send
Alice a (digitally) unsigned message that says, "I've always
secretly loved you, signed Bob", it is far easier for him to
construct a new message than it is to modify anything intercepted
from Bob. (Note also that if Bob wishes to communicate secretly
with Alice, but without authentication or identification and with
a threat model that includes forgers, he has a problem that
transcends mere cryptography.)
Note also that unlike nearly every other OpenPGP subsystem, there
are no parameters in the MDC system. It hard-defines SHA-1 as its
hash function. This is not an accident. It is an intentional
choice to avoid downgrade and cross-grade attacks while making a
simple, fast system. (A downgrade attack would be an attack that
replaced SHA-256 with SHA-1, for example. A cross-grade attack
would replace SHA-1 with another 160-bit hash, such as RIPE-
MD/160, for example.)
However, given the present state of hash function cryptanalysis
and cryptography, it may be desirable to upgrade the MDC system to
a new hash function. See Section 13.11 in the "IANA
Considerations" for guidance.
5.14. Modification Detection Code Packet (Tag 19)
The Modification Detection Code packet contains a SHA-1 hash of
plaintext data, which is used to detect message modification. It is
only used with a Symmetrically Encrypted Integrity Protected Data
packet. The Modification Detection Code packet MUST be the last
packet in the plaintext data that is encrypted in the Symmetrically
Encrypted Integrity Protected Data packet, and MUST appear in no
other place.
A Modification Detection Code packet MUST have a length of 20 octets.
Callas, et al Standards Track [Page 52]
^L
RFC 4880 OpenPGP Message Format November 2007
The body of this packet consists of:
- A 20-octet SHA-1 hash of the preceding plaintext data of the
Symmetrically Encrypted Integrity Protected Data packet,
including prefix data, the tag octet, and length octet of the
Modification Detection Code packet.
Note that the Modification Detection Code packet MUST always use a
new format encoding of the packet tag, and a one-octet encoding of
the packet length. The reason for this is that the hashing rules for
modification detection include a one-octet tag and one-octet length
in the data hash. While this is a bit restrictive, it reduces
complexity.
6. Radix-64 Conversions
As stated in the introduction, OpenPGP's underlying native
representation for objects is a stream of arbitrary octets, and some
systems desire these objects to be immune to damage caused by
character set translation, data conversions, etc.
In principle, any printable encoding scheme that met the requirements
of the unsafe channel would suffice, since it would not change the
underlying binary bit streams of the native OpenPGP data structures.
The OpenPGP standard specifies one such printable encoding scheme to
ensure interoperability.
OpenPGP's Radix-64 encoding is composed of two parts: a base64
encoding of the binary data and a checksum. The base64 encoding is
identical to the MIME base64 content-transfer-encoding [RFC2045].
The checksum is a 24-bit Cyclic Redundancy Check (CRC) converted to
four characters of radix-64 encoding by the same MIME base64
transformation, preceded by an equal sign (=). The CRC is computed
by using the generator 0x864CFB and an initialization of 0xB704CE.
The accumulation is done on the data before it is converted to
radix-64, rather than on the converted data. A sample implementation
of this algorithm is in the next section.
The checksum with its leading equal sign MAY appear on the first line
after the base64 encoded data.
Rationale for CRC-24: The size of 24 bits fits evenly into printable
base64. The nonzero initialization can detect more errors than a
zero initialization.
Callas, et al Standards Track [Page 53]
^L
RFC 4880 OpenPGP Message Format November 2007
6.1. An Implementation of the CRC-24 in "C"
#define CRC24_INIT 0xB704CEL
#define CRC24_POLY 0x1864CFBL
typedef long crc24;
crc24 crc_octets(unsigned char *octets, size_t len)
{
crc24 crc = CRC24_INIT;
int i;
while (len--) {
crc ^= (*octets++) << 16;
for (i = 0; i < 8; i++) {
crc <<= 1;
if (crc & 0x1000000)
crc ^= CRC24_POLY;
}
}
return crc & 0xFFFFFFL;
}
6.2. Forming ASCII Armor
When OpenPGP encodes data into ASCII Armor, it puts specific headers
around the Radix-64 encoded data, so OpenPGP can reconstruct the data
later. An OpenPGP implementation MAY use ASCII armor to protect raw
binary data. OpenPGP informs the user what kind of data is encoded
in the ASCII armor through the use of the headers.
Concatenating the following data creates ASCII Armor:
- An Armor Header Line, appropriate for the type of data
- Armor Headers
- A blank (zero-length, or containing only whitespace) line
- The ASCII-Armored data
- An Armor Checksum
- The Armor Tail, which depends on the Armor Header Line
An Armor Header Line consists of the appropriate header line text
surrounded by five (5) dashes ('-', 0x2D) on either side of the
header line text. The header line text is chosen based upon the type
of data that is being encoded in Armor, and how it is being encoded.
Header line texts include the following strings:
Callas, et al Standards Track [Page 54]
^L
RFC 4880 OpenPGP Message Format November 2007
BEGIN PGP MESSAGE
Used for signed, encrypted, or compressed files.
BEGIN PGP PUBLIC KEY BLOCK
Used for armoring public keys.
BEGIN PGP PRIVATE KEY BLOCK
Used for armoring private keys.
BEGIN PGP MESSAGE, PART X/Y
Used for multi-part messages, where the armor is split amongst Y
parts, and this is the Xth part out of Y.
BEGIN PGP MESSAGE, PART X
Used for multi-part messages, where this is the Xth part of an
unspecified number of parts. Requires the MESSAGE-ID Armor
Header to be used.
BEGIN PGP SIGNATURE
Used for detached signatures, OpenPGP/MIME signatures, and
cleartext signatures. Note that PGP 2.x uses BEGIN PGP MESSAGE
for detached signatures.
Note that all these Armor Header Lines are to consist of a complete
line. That is to say, there is always a line ending preceding the
starting five dashes, and following the ending five dashes. The
header lines, therefore, MUST start at the beginning of a line, and
MUST NOT have text other than whitespace following them on the same
line. These line endings are considered a part of the Armor Header
Line for the purposes of determining the content they delimit. This
is particularly important when computing a cleartext signature (see
below).
The Armor Headers are pairs of strings that can give the user or the
receiving OpenPGP implementation some information about how to decode
or use the message. The Armor Headers are a part of the armor, not a
part of the message, and hence are not protected by any signatures
applied to the message.
The format of an Armor Header is that of a key-value pair. A colon
(':' 0x38) and a single space (0x20) separate the key and value.
OpenPGP should consider improperly formatted Armor Headers to be
corruption of the ASCII Armor. Unknown keys should be reported to
the user, but OpenPGP should continue to process the message.
Note that some transport methods are sensitive to line length. While
there is a limit of 76 characters for the Radix-64 data (Section
6.3), there is no limit to the length of Armor Headers. Care should
Callas, et al Standards Track [Page 55]
^L
RFC 4880 OpenPGP Message Format November 2007
be taken that the Armor Headers are short enough to survive
transport. One way to do this is to repeat an Armor Header key
multiple times with different values for each so that no one line is
overly long.
Currently defined Armor Header Keys are as follows:
- "Version", which states the OpenPGP implementation and version
used to encode the message.
- "Comment", a user-defined comment. OpenPGP defines all text to
be in UTF-8. A comment may be any UTF-8 string. However, the
whole point of armoring is to provide seven-bit-clean data.
Consequently, if a comment has characters that are outside the
US-ASCII range of UTF, they may very well not survive transport.
- "MessageID", a 32-character string of printable characters. The
string must be the same for all parts of a multi-part message
that uses the "PART X" Armor Header. MessageID strings should be
unique enough that the recipient of the mail can associate all
the parts of a message with each other. A good checksum or
cryptographic hash function is sufficient.
The MessageID SHOULD NOT appear unless it is in a multi-part
message. If it appears at all, it MUST be computed from the
finished (encrypted, signed, etc.) message in a deterministic
fashion, rather than contain a purely random value. This is to
allow the legitimate recipient to determine that the MessageID
cannot serve as a covert means of leaking cryptographic key
information.
- "Hash", a comma-separated list of hash algorithms used in this
message. This is used only in cleartext signed messages.
- "Charset", a description of the character set that the plaintext
is in. Please note that OpenPGP defines text to be in UTF-8. An
implementation will get best results by translating into and out
of UTF-8. However, there are many instances where this is easier
said than done. Also, there are communities of users who have no
need for UTF-8 because they are all happy with a character set
like ISO Latin-5 or a Japanese character set. In such instances,
an implementation MAY override the UTF-8 default by using this
header key. An implementation MAY implement this key and any
translations it cares to; an implementation MAY ignore it and
assume all text is UTF-8.
Callas, et al Standards Track [Page 56]
^L
RFC 4880 OpenPGP Message Format November 2007
The Armor Tail Line is composed in the same manner as the Armor
Header Line, except the string "BEGIN" is replaced by the string
"END".
6.3. Encoding Binary in Radix-64
The encoding process represents 24-bit groups of input bits as output
strings of 4 encoded characters. Proceeding from left to right, a
24-bit input group is formed by concatenating three 8-bit input
groups. These 24 bits are then treated as four concatenated 6-bit
groups, each of which is translated into a single digit in the
Radix-64 alphabet. When encoding a bit stream with the Radix-64
encoding, the bit stream must be presumed to be ordered with the most
significant bit first. That is, the first bit in the stream will be
the high-order bit in the first 8-bit octet, and the eighth bit will
be the low-order bit in the first 8-bit octet, and so on.
+--first octet--+-second octet--+--third octet--+
|7 6 5 4 3 2 1 0|7 6 5 4 3 2 1 0|7 6 5 4 3 2 1 0|
+-----------+---+-------+-------+---+-----------+
|5 4 3 2 1 0|5 4 3 2 1 0|5 4 3 2 1 0|5 4 3 2 1 0|
+--1.index--+--2.index--+--3.index--+--4.index--+
Each 6-bit group is used as an index into an array of 64 printable
characters from the table below. The character referenced by the
index is placed in the output string.
Value Encoding Value Encoding Value Encoding Value Encoding
0 A 17 R 34 i 51 z
1 B 18 S 35 j 52 0
2 C 19 T 36 k 53 1
3 D 20 U 37 l 54 2
4 E 21 V 38 m 55 3
5 F 22 W 39 n 56 4
6 G 23 X 40 o 57 5
7 H 24 Y 41 p 58 6
8 I 25 Z 42 q 59 7
9 J 26 a 43 r 60 8
10 K 27 b 44 s 61 9
11 L 28 c 45 t 62 +
12 M 29 d 46 u 63 /
13 N 30 e 47 v
14 O 31 f 48 w (pad) =
15 P 32 g 49 x
16 Q 33 h 50 y
The encoded output stream must be represented in lines of no more
than 76 characters each.
Callas, et al Standards Track [Page 57]
^L
RFC 4880 OpenPGP Message Format November 2007
Special processing is performed if fewer than 24 bits are available
at the end of the data being encoded. There are three possibilities:
1. The last data group has 24 bits (3 octets). No special processing
is needed.
2. The last data group has 16 bits (2 octets). The first two 6-bit
groups are processed as above. The third (incomplete) data group
has two zero-value bits added to it, and is processed as above. A
pad character (=) is added to the output.
3. The last data group has 8 bits (1 octet). The first 6-bit group
is processed as above. The second (incomplete) data group has
four zero-value bits added to it, and is processed as above. Two
pad characters (=) are added to the output.
6.4. Decoding Radix-64
In Radix-64 data, characters other than those in the table, line
breaks, and other white space probably indicate a transmission error,
about which a warning message or even a message rejection might be
appropriate under some circumstances. Decoding software must ignore
all white space.
Because it is used only for padding at the end of the data, the
occurrence of any "=" characters may be taken as evidence that the
end of the data has been reached (without truncation in transit). No
such assurance is possible, however, when the number of octets
transmitted was a multiple of three and no "=" characters are
present.
Callas, et al Standards Track [Page 58]
^L
RFC 4880 OpenPGP Message Format November 2007
6.5. Examples of Radix-64
Input data: 0x14FB9C03D97E
Hex: 1 4 F B 9 C | 0 3 D 9 7 E
8-bit: 00010100 11111011 10011100 | 00000011 11011001 11111110
6-bit: 000101 001111 101110 011100 | 000000 111101 100111 111110
Decimal: 5 15 46 28 0 61 37 62
Output: F P u c A 9 l +
Input data: 0x14FB9C03D9
Hex: 1 4 F B 9 C | 0 3 D 9
8-bit: 00010100 11111011 10011100 | 00000011 11011001
pad with 00
6-bit: 000101 001111 101110 011100 | 000000 111101 100100
Decimal: 5 15 46 28 0 61 36
pad with =
Output: F P u c A 9 k =
Input data: 0x14FB9C03
Hex: 1 4 F B 9 C | 0 3
8-bit: 00010100 11111011 10011100 | 00000011
pad with 0000
6-bit: 000101 001111 101110 011100 | 000000 110000
Decimal: 5 15 46 28 0 48
pad with = =
Output: F P u c A w = =
6.6. Example of an ASCII Armored Message
-----BEGIN PGP MESSAGE-----
Version: OpenPrivacy 0.99
yDgBO22WxBHv7O8X7O/jygAEzol56iUKiXmV+XmpCtmpqQUKiQrFqclFqUDBovzS
vBSFjNSiVHsuAA==
=njUN
-----END PGP MESSAGE-----
Note that this example has extra indenting; an actual armored message
would have no leading whitespace.
7. Cleartext Signature Framework
It is desirable to be able to sign a textual octet stream without
ASCII armoring the stream itself, so the signed text is still
readable without special software. In order to bind a signature to
such a cleartext, this framework is used. (Note that this framework
is not intended to be reversible. RFC 3156 [RFC3156] defines another
way to sign cleartext messages for environments that support MIME.)
Callas, et al Standards Track [Page 59]
^L
RFC 4880 OpenPGP Message Format November 2007
The cleartext signed message consists of:
- The cleartext header '-----BEGIN PGP SIGNED MESSAGE-----' on a
single line,
- One or more "Hash" Armor Headers,
- Exactly one empty line not included into the message digest,
- The dash-escaped cleartext that is included into the message
digest,
- The ASCII armored signature(s) including the '-----BEGIN PGP
SIGNATURE-----' Armor Header and Armor Tail Lines.
If the "Hash" Armor Header is given, the specified message digest
algorithm(s) are used for the signature. If there are no such
headers, MD5 is used. If MD5 is the only hash used, then an
implementation MAY omit this header for improved V2.x compatibility.
If more than one message digest is used in the signature, the "Hash"
armor header contains a comma-delimited list of used message digests.
Current message digest names are described below with the algorithm
IDs.
An implementation SHOULD add a line break after the cleartext, but
MAY omit it if the cleartext ends with a line break. This is for
visual clarity.
7.1. Dash-Escaped Text
The cleartext content of the message must also be dash-escaped.
Dash-escaped cleartext is the ordinary cleartext where every line
starting with a dash '-' (0x2D) is prefixed by the sequence dash '-'
(0x2D) and space ' ' (0x20). This prevents the parser from
recognizing armor headers of the cleartext itself. An implementation
MAY dash-escape any line, SHOULD dash-escape lines commencing "From"
followed by a space, and MUST dash-escape any line commencing in a
dash. The message digest is computed using the cleartext itself, not
the dash-escaped form.
As with binary signatures on text documents, a cleartext signature is
calculated on the text using canonical <CR><LF> line endings. The
line ending (i.e., the <CR><LF>) before the '-----BEGIN PGP
SIGNATURE-----' line that terminates the signed text is not
considered part of the signed text.
Callas, et al Standards Track [Page 60]
^L
RFC 4880 OpenPGP Message Format November 2007
When reversing dash-escaping, an implementation MUST strip the string
"- " if it occurs at the beginning of a line, and SHOULD warn on "-"
and any character other than a space at the beginning of a line.
Also, any trailing whitespace -- spaces (0x20) and tabs (0x09) -- at
the end of any line is removed when the cleartext signature is
generated.
8. Regular Expressions
A regular expression is zero or more branches, separated by '|'. It
matches anything that matches one of the branches.
A branch is zero or more pieces, concatenated. It matches a match
for the first, followed by a match for the second, etc.
A piece is an atom possibly followed by '*', '+', or '?'. An atom
followed by '*' matches a sequence of 0 or more matches of the atom.
An atom followed by '+' matches a sequence of 1 or more matches of
the atom. An atom followed by '?' matches a match of the atom, or
the null string.
An atom is a regular expression in parentheses (matching a match for
the regular expression), a range (see below), '.' (matching any
single character), '^' (matching the null string at the beginning of
the input string), '$' (matching the null string at the end of the
input string), a '\' followed by a single character (matching that
character), or a single character with no other significance
(matching that character).
A range is a sequence of characters enclosed in '[]'. It normally
matches any single character from the sequence. If the sequence
begins with '^', it matches any single character not from the rest of
the sequence. If two characters in the sequence are separated
by '-', this is shorthand for the full list of ASCII characters
between them (e.g., '[0-9]' matches any decimal digit). To include a
literal ']' in the sequence, make it the first character (following a
possible '^'). To include a literal '-', make it the first or last
character.
9. Constants
This section describes the constants used in OpenPGP.
Note that these tables are not exhaustive lists; an implementation
MAY implement an algorithm not on these lists, so long as the
algorithm numbers are chosen from the private or experimental
algorithm range.
Callas, et al Standards Track [Page 61]
^L
RFC 4880 OpenPGP Message Format November 2007
See the section "Notes on Algorithms" below for more discussion of
the algorithms.
9.1. Public-Key Algorithms
ID Algorithm
-- ---------
1 - RSA (Encrypt or Sign) [HAC]
2 - RSA Encrypt-Only [HAC]
3 - RSA Sign-Only [HAC]
16 - Elgamal (Encrypt-Only) [ELGAMAL] [HAC]
17 - DSA (Digital Signature Algorithm) [FIPS186] [HAC]
18 - Reserved for Elliptic Curve
19 - Reserved for ECDSA
20 - Reserved (formerly Elgamal Encrypt or Sign)
21 - Reserved for Diffie-Hellman (X9.42,
as defined for IETF-S/MIME)
100 to 110 - Private/Experimental algorithm
Implementations MUST implement DSA for signatures, and Elgamal for
encryption. Implementations SHOULD implement RSA keys (1). RSA
Encrypt-Only (2) and RSA Sign-Only are deprecated and SHOULD NOT be
generated, but may be interpreted. See Section 13.5. See Section
13.8 for notes on Elliptic Curve (18), ECDSA (19), Elgamal Encrypt or
Sign (20), and X9.42 (21). Implementations MAY implement any other
algorithm.
9.2. Symmetric-Key Algorithms
ID Algorithm
-- ---------
0 - Plaintext or unencrypted data
1 - IDEA [IDEA]
2 - TripleDES (DES-EDE, [SCHNEIER] [HAC] -
168 bit key derived from 192)
3 - CAST5 (128 bit key, as per [RFC2144])
4 - Blowfish (128 bit key, 16 rounds) [BLOWFISH]
5 - Reserved
6 - Reserved
7 - AES with 128-bit key [AES]
8 - AES with 192-bit key
9 - AES with 256-bit key
10 - Twofish with 256-bit key [TWOFISH]
100 to 110 - Private/Experimental algorithm
Implementations MUST implement TripleDES. Implementations SHOULD
implement AES-128 and CAST5. Implementations that interoperate with
Callas, et al Standards Track [Page 62]
^L
RFC 4880 OpenPGP Message Format November 2007
PGP 2.6 or earlier need to support IDEA, as that is the only
symmetric cipher those versions use. Implementations MAY implement
any other algorithm.
9.3. Compression Algorithms
ID Algorithm
-- ---------
0 - Uncompressed
1 - ZIP [RFC1951]
2 - ZLIB [RFC1950]
3 - BZip2 [BZ2]
100 to 110 - Private/Experimental algorithm
Implementations MUST implement uncompressed data. Implementations
SHOULD implement ZIP. Implementations MAY implement any other
algorithm.
9.4. Hash Algorithms
ID Algorithm Text Name
-- --------- ---------
1 - MD5 [HAC] "MD5"
2 - SHA-1 [FIPS180] "SHA1"
3 - RIPE-MD/160 [HAC] "RIPEMD160"
4 - Reserved
5 - Reserved
6 - Reserved
7 - Reserved
8 - SHA256 [FIPS180] "SHA256"
9 - SHA384 [FIPS180] "SHA384"
10 - SHA512 [FIPS180] "SHA512"
11 - SHA224 [FIPS180] "SHA224"
100 to 110 - Private/Experimental algorithm
Implementations MUST implement SHA-1. Implementations MAY implement
other algorithms. MD5 is deprecated.
10. IANA Considerations
OpenPGP is highly parameterized, and consequently there are a number
of considerations for allocating parameters for extensions. This
section describes how IANA should look at extensions to the protocol
as described in this document.
Callas, et al Standards Track [Page 63]
^L
RFC 4880 OpenPGP Message Format November 2007
10.1. New String-to-Key Specifier Types
OpenPGP S2K specifiers contain a mechanism for new algorithms to turn
a string into a key. This specification creates a registry of S2K
specifier types. The registry includes the S2K type, the name of the
S2K, and a reference to the defining specification. The initial
values for this registry can be found in Section 3.7.1. Adding a new
S2K specifier MUST be done through the IETF CONSENSUS method, as
described in [RFC2434].
10.2. New Packets
Major new features of OpenPGP are defined through new packet types.
This specification creates a registry of packet types. The registry
includes the packet type, the name of the packet, and a reference to
the defining specification. The initial values for this registry can
be found in Section 4.3. Adding a new packet type MUST be done
through the IETF CONSENSUS method, as described in [RFC2434].
10.2.1. User Attribute Types
The User Attribute packet permits an extensible mechanism for other
types of certificate identification. This specification creates a
registry of User Attribute types. The registry includes the User
Attribute type, the name of the User Attribute, and a reference to
the defining specification. The initial values for this registry can
be found in Section 5.12. Adding a new User Attribute type MUST be
done through the IETF CONSENSUS method, as described in [RFC2434].
10.2.1.1. Image Format Subpacket Types
Within User Attribute packets, there is an extensible mechanism for
other types of image-based user attributes. This specification
creates a registry of Image Attribute subpacket types. The registry
includes the Image Attribute subpacket type, the name of the Image
Attribute subpacket, and a reference to the defining specification.
The initial values for this registry can be found in Section 5.12.1.
Adding a new Image Attribute subpacket type MUST be done through the
IETF CONSENSUS method, as described in [RFC2434].
10.2.2. New Signature Subpackets
OpenPGP signatures contain a mechanism for signed (or unsigned) data
to be added to them for a variety of purposes in the Signature
subpackets as discussed in Section 5.2.3.1. This specification
creates a registry of Signature subpacket types. The registry
includes the Signature subpacket type, the name of the subpacket, and
a reference to the defining specification. The initial values for
Callas, et al Standards Track [Page 64]
^L
RFC 4880 OpenPGP Message Format November 2007
this registry can be found in Section 5.2.3.1. Adding a new
Signature subpacket MUST be done through the IETF CONSENSUS method,
as described in [RFC2434].
10.2.2.1. Signature Notation Data Subpackets
OpenPGP signatures further contain a mechanism for extensions in
signatures. These are the Notation Data subpackets, which contain a
key/value pair. Notations contain a user space that is completely
unmanaged and an IETF space.
This specification creates a registry of Signature Notation Data
types. The registry includes the Signature Notation Data type, the
name of the Signature Notation Data, its allowed values, and a
reference to the defining specification. The initial values for this
registry can be found in Section 5.2.3.16. Adding a new Signature
Notation Data subpacket MUST be done through the EXPERT REVIEW
method, as described in [RFC2434].
10.2.2.2. Key Server Preference Extensions
OpenPGP signatures contain a mechanism for preferences to be
specified about key servers. This specification creates a registry
of key server preferences. The registry includes the key server
preference, the name of the preference, and a reference to the
defining specification. The initial values for this registry can be
found in Section 5.2.3.17. Adding a new key server preference MUST
be done through the IETF CONSENSUS method, as described in [RFC2434].
10.2.2.3. Key Flags Extensions
OpenPGP signatures contain a mechanism for flags to be specified
about key usage. This specification creates a registry of key usage
flags. The registry includes the key flags value, the name of the
flag, and a reference to the defining specification. The initial
values for this registry can be found in Section 5.2.3.21. Adding a
new key usage flag MUST be done through the IETF CONSENSUS method, as
described in [RFC2434].
10.2.2.4. Reason for Revocation Extensions
OpenPGP signatures contain a mechanism for flags to be specified
about why a key was revoked. This specification creates a registry
of "Reason for Revocation" flags. The registry includes the "Reason
for Revocation" flags value, the name of the flag, and a reference to
the defining specification. The initial values for this registry can
be found in Section 5.2.3.23. Adding a new feature flag MUST be done
through the IETF CONSENSUS method, as described in [RFC2434].
Callas, et al Standards Track [Page 65]
^L
RFC 4880 OpenPGP Message Format November 2007
10.2.2.5. Implementation Features
OpenPGP signatures contain a mechanism for flags to be specified
stating which optional features an implementation supports. This
specification creates a registry of feature-implementation flags.
The registry includes the feature-implementation flags value, the
name of the flag, and a reference to the defining specification. The
initial values for this registry can be found in Section 5.2.3.24.
Adding a new feature-implementation flag MUST be done through the
IETF CONSENSUS method, as described in [RFC2434].
Also see Section 13.12 for more information about when feature flags
are needed.
10.2.3. New Packet Versions
The core OpenPGP packets all have version numbers, and can be revised
by introducing a new version of an existing packet. This
specification creates a registry of packet types. The registry
includes the packet type, the number of the version, and a reference
to the defining specification. The initial values for this registry
can be found in Section 5. Adding a new packet version MUST be done
through the IETF CONSENSUS method, as described in [RFC2434].
10.3. New Algorithms
Section 9 lists the core algorithms that OpenPGP uses. Adding in a
new algorithm is usually simple. For example, adding in a new
symmetric cipher usually would not need anything more than allocating
a constant for that cipher. If that cipher had other than a 64-bit
or 128-bit block size, there might need to be additional
documentation describing how OpenPGP-CFB mode would be adjusted.
Similarly, when DSA was expanded from a maximum of 1024-bit public
keys to 3072-bit public keys, the revision of FIPS 186 contained
enough information itself to allow implementation. Changes to this
document were made mainly for emphasis.
10.3.1. Public-Key Algorithms
OpenPGP specifies a number of public-key algorithms. This
specification creates a registry of public-key algorithm identifiers.
The registry includes the algorithm name, its key sizes and
parameters, and a reference to the defining specification. The
initial values for this registry can be found in Section 9. Adding a
new public-key algorithm MUST be done through the IETF CONSENSUS
method, as described in [RFC2434].
Callas, et al Standards Track [Page 66]
^L
RFC 4880 OpenPGP Message Format November 2007
10.3.2. Symmetric-Key Algorithms
OpenPGP specifies a number of symmetric-key algorithms. This
specification creates a registry of symmetric-key algorithm
identifiers. The registry includes the algorithm name, its key sizes
and block size, and a reference to the defining specification. The
initial values for this registry can be found in Section 9. Adding a
new symmetric-key algorithm MUST be done through the IETF CONSENSUS
method, as described in [RFC2434].
10.3.3. Hash Algorithms
OpenPGP specifies a number of hash algorithms. This specification
creates a registry of hash algorithm identifiers. The registry
includes the algorithm name, a text representation of that name, its
block size, an OID hash prefix, and a reference to the defining
specification. The initial values for this registry can be found in
Section 9 for the algorithm identifiers and text names, and Section
5.2.2 for the OIDs and expanded signature prefixes. Adding a new
hash algorithm MUST be done through the IETF CONSENSUS method, as
described in [RFC2434].
10.3.4. Compression Algorithms
OpenPGP specifies a number of compression algorithms. This
specification creates a registry of compression algorithm
identifiers. The registry includes the algorithm name and a
reference to the defining specification. The initial values for this
registry can be found in Section 9.3. Adding a new compression key
algorithm MUST be done through the IETF CONSENSUS method, as
described in [RFC2434].
11. Packet Composition
OpenPGP packets are assembled into sequences in order to create
messages and to transfer keys. Not all possible packet sequences are
meaningful and correct. This section describes the rules for how
packets should be placed into sequences.
11.1. Transferable Public Keys
OpenPGP users may transfer public keys. The essential elements of a
transferable public key are as follows:
- One Public-Key packet
- Zero or more revocation signatures
Callas, et al Standards Track [Page 67]
^L
RFC 4880 OpenPGP Message Format November 2007
- One or more User ID packets
- After each User ID packet, zero or more Signature packets
(certifications)
- Zero or more User Attribute packets
- After each User Attribute packet, zero or more Signature packets
(certifications)
- Zero or more Subkey packets
- After each Subkey packet, one Signature packet, plus optionally a
revocation
The Public-Key packet occurs first. Each of the following User ID
packets provides the identity of the owner of this public key. If
there are multiple User ID packets, this corresponds to multiple
means of identifying the same unique individual user; for example, a
user may have more than one email address, and construct a User ID
for each one.
Immediately following each User ID packet, there are zero or more
Signature packets. Each Signature packet is calculated on the
immediately preceding User ID packet and the initial Public-Key
packet. The signature serves to certify the corresponding public key
and User ID. In effect, the signer is testifying to his or her
belief that this public key belongs to the user identified by this
User ID.
Within the same section as the User ID packets, there are zero or
more User Attribute packets. Like the User ID packets, a User
Attribute packet is followed by zero or more Signature packets
calculated on the immediately preceding User Attribute packet and the
initial Public-Key packet.
User Attribute packets and User ID packets may be freely intermixed
in this section, so long as the signatures that follow them are
maintained on the proper User Attribute or User ID packet.
After the User ID packet or Attribute packet, there may be zero or
more Subkey packets. In general, subkeys are provided in cases where
the top-level public key is a signature-only key. However, any V4
key may have subkeys, and the subkeys may be encryption-only keys,
signature-only keys, or general-purpose keys. V3 keys MUST NOT have
subkeys.
Callas, et al Standards Track [Page 68]
^L
RFC 4880 OpenPGP Message Format November 2007
Each Subkey packet MUST be followed by one Signature packet, which
should be a subkey binding signature issued by the top-level key.
For subkeys that can issue signatures, the subkey binding signature
MUST contain an Embedded Signature subpacket with a primary key
binding signature (0x19) issued by the subkey on the top-level key.
Subkey and Key packets may each be followed by a revocation Signature
packet to indicate that the key is revoked. Revocation signatures
are only accepted if they are issued by the key itself, or by a key
that is authorized to issue revocations via a Revocation Key
subpacket in a self-signature by the top-level key.
Transferable public-key packet sequences may be concatenated to allow
transferring multiple public keys in one operation.
11.2. Transferable Secret Keys
OpenPGP users may transfer secret keys. The format of a transferable
secret key is the same as a transferable public key except that
secret-key and secret-subkey packets are used instead of the public
key and public-subkey packets. Implementations SHOULD include self-
signatures on any user IDs and subkeys, as this allows for a complete
public key to be automatically extracted from the transferable secret
key. Implementations MAY choose to omit the self-signatures,
especially if a transferable public key accompanies the transferable
secret key.
11.3. OpenPGP Messages
An OpenPGP message is a packet or sequence of packets that
corresponds to the following grammatical rules (comma represents
sequential composition, and vertical bar separates alternatives):
OpenPGP Message :- Encrypted Message | Signed Message |
Compressed Message | Literal Message.
Compressed Message :- Compressed Data Packet.
Literal Message :- Literal Data Packet.
ESK :- Public-Key Encrypted Session Key Packet |
Symmetric-Key Encrypted Session Key Packet.
ESK Sequence :- ESK | ESK Sequence, ESK.
Encrypted Data :- Symmetrically Encrypted Data Packet |
Symmetrically Encrypted Integrity Protected Data Packet
Callas, et al Standards Track [Page 69]
^L
RFC 4880 OpenPGP Message Format November 2007
Encrypted Message :- Encrypted Data | ESK Sequence, Encrypted Data.
One-Pass Signed Message :- One-Pass Signature Packet,
OpenPGP Message, Corresponding Signature Packet.
Signed Message :- Signature Packet, OpenPGP Message |
One-Pass Signed Message.
In addition, decrypting a Symmetrically Encrypted Data packet or a
Symmetrically Encrypted Integrity Protected Data packet as well as
decompressing a Compressed Data packet must yield a valid OpenPGP
Message.
11.4. Detached Signatures
Some OpenPGP applications use so-called "detached signatures". For
example, a program bundle may contain a file, and with it a second
file that is a detached signature of the first file. These detached
signatures are simply a Signature packet stored separately from the
data for which they are a signature.
12. Enhanced Key Formats
12.1. Key Structures
The format of an OpenPGP V3 key is as follows. Entries in square
brackets are optional and ellipses indicate repetition.
RSA Public Key
[Revocation Self Signature]
User ID [Signature ...]
[User ID [Signature ...] ...]
Each signature certifies the RSA public key and the preceding User
ID. The RSA public key can have many User IDs and each User ID can
have many signatures. V3 keys are deprecated. Implementations MUST
NOT generate new V3 keys, but MAY continue to use existing ones.
The format of an OpenPGP V4 key that uses multiple public keys is
similar except that the other keys are added to the end as "subkeys"
of the primary key.
Callas, et al Standards Track [Page 70]
^L
RFC 4880 OpenPGP Message Format November 2007
Primary-Key
[Revocation Self Signature]
[Direct Key Signature...]
User ID [Signature ...]
[User ID [Signature ...] ...]
[User Attribute [Signature ...] ...]
[[Subkey [Binding-Signature-Revocation]
Primary-Key-Binding-Signature] ...]
A subkey always has a single signature after it that is issued using
the primary key to tie the two keys together. This binding signature
may be in either V3 or V4 format, but SHOULD be V4. Subkeys that can
issue signatures MUST have a V4 binding signature due to the REQUIRED
embedded primary key binding signature.
In the above diagram, if the binding signature of a subkey has been
revoked, the revoked key may be removed, leaving only one key.
In a V4 key, the primary key MUST be a key capable of certification.
The subkeys may be keys of any other type. There may be other
constructions of V4 keys, too. For example, there may be a single-
key RSA key in V4 format, a DSA primary key with an RSA encryption
key, or RSA primary key with an Elgamal subkey, etc.
It is also possible to have a signature-only subkey. This permits a
primary key that collects certifications (key signatures), but is
used only for certifying subkeys that are used for encryption and
signatures.
12.2. Key IDs and Fingerprints
For a V3 key, the eight-octet Key ID consists of the low 64 bits of
the public modulus of the RSA key.
The fingerprint of a V3 key is formed by hashing the body (but not
the two-octet length) of the MPIs that form the key material (public
modulus n, followed by exponent e) with MD5. Note that both V3 keys
and MD5 are deprecated.
A V4 fingerprint is the 160-bit SHA-1 hash of the octet 0x99,
followed by the two-octet packet length, followed by the entire
Public-Key packet starting with the version field. The Key ID is the
low-order 64 bits of the fingerprint. Here are the fields of the
hash material, with the example of a DSA key:
a.1) 0x99 (1 octet)
a.2) high-order length octet of (b)-(e) (1 octet)
Callas, et al Standards Track [Page 71]
^L
RFC 4880 OpenPGP Message Format November 2007
a.3) low-order length octet of (b)-(e) (1 octet)
b) version number = 4 (1 octet);
c) timestamp of key creation (4 octets);
d) algorithm (1 octet): 17 = DSA (example);
e) Algorithm-specific fields.
Algorithm-Specific Fields for DSA keys (example):
e.1) MPI of DSA prime p;
e.2) MPI of DSA group order q (q is a prime divisor of p-1);
e.3) MPI of DSA group generator g;
e.4) MPI of DSA public-key value y (= g**x mod p where x is secret).
Note that it is possible for there to be collisions of Key IDs -- two
different keys with the same Key ID. Note that there is a much
smaller, but still non-zero, probability that two different keys have
the same fingerprint.
Also note that if V3 and V4 format keys share the same RSA key
material, they will have different Key IDs as well as different
fingerprints.
Finally, the Key ID and fingerprint of a subkey are calculated in the
same way as for a primary key, including the 0x99 as the first octet
(even though this is not a valid packet ID for a public subkey).
13. Notes on Algorithms
13.1. PKCS#1 Encoding in OpenPGP
This standard makes use of the PKCS#1 functions EME-PKCS1-v1_5 and
EMSA-PKCS1-v1_5. However, the calling conventions of these functions
has changed in the past. To avoid potential confusion and
interoperability problems, we are including local copies in this
document, adapted from those in PKCS#1 v2.1 [RFC3447]. RFC 3447
should be treated as the ultimate authority on PKCS#1 for OpenPGP.
Nonetheless, we believe that there is value in having a self-
contained document that avoids problems in the future with needed
changes in the conventions.
Callas, et al Standards Track [Page 72]
^L
RFC 4880 OpenPGP Message Format November 2007
13.1.1. EME-PKCS1-v1_5-ENCODE
Input:
k = the length in octets of the key modulus
M = message to be encoded, an octet string of length mLen, where
mLen <= k - 11
Output:
EM = encoded message, an octet string of length k
Error: "message too long"
1. Length checking: If mLen > k - 11, output "message too long" and
stop.
2. Generate an octet string PS of length k - mLen - 3 consisting of
pseudo-randomly generated nonzero octets. The length of PS will
be at least eight octets.
3. Concatenate PS, the message M, and other padding to form an
encoded message EM of length k octets as
EM = 0x00 || 0x02 || PS || 0x00 || M.
4. Output EM.
13.1.2. EME-PKCS1-v1_5-DECODE
Input:
EM = encoded message, an octet string
Output:
M = message, an octet string
Error: "decryption error"
To decode an EME-PKCS1_v1_5 message, separate the encoded message EM
into an octet string PS consisting of nonzero octets and a message M
as follows
EM = 0x00 || 0x02 || PS || 0x00 || M.
Callas, et al Standards Track [Page 73]
^L
RFC 4880 OpenPGP Message Format November 2007
If the first octet of EM does not have hexadecimal value 0x00, if the
second octet of EM does not have hexadecimal value 0x02, if there is
no octet with hexadecimal value 0x00 to separate PS from M, or if the
length of PS is less than 8 octets, output "decryption error" and
stop. See also the security note in Section 14 regarding differences
in reporting between a decryption error and a padding error.
13.1.3. EMSA-PKCS1-v1_5
This encoding method is deterministic and only has an encoding
operation.
Option:
Hash - a hash function in which hLen denotes the length in octets of
the hash function output
Input:
M = message to be encoded
mL = intended length in octets of the encoded message, at least tLen
+ 11, where tLen is the octet length of the DER encoding T of a
certain value computed during the encoding operation
Output:
EM = encoded message, an octet string of length emLen
Errors: "message too long"; "intended encoded message length too
short"
Steps:
1. Apply the hash function to the message M to produce a hash value
H:
H = Hash(M).
If the hash function outputs "message too long," output "message
too long" and stop.
2. Using the list in Section 5.2.2, produce an ASN.1 DER value for
the hash function used. Let T be the full hash prefix from
Section 5.2.2, and let tLen be the length in octets of T.
3. If emLen < tLen + 11, output "intended encoded message length
too short" and stop.
Callas, et al Standards Track [Page 74]
^L
RFC 4880 OpenPGP Message Format November 2007
4. Generate an octet string PS consisting of emLen - tLen - 3
octets with hexadecimal value 0xFF. The length of PS will be at
least 8 octets.
5. Concatenate PS, the hash prefix T, and other padding to form the
encoded message EM as
EM = 0x00 || 0x01 || PS || 0x00 || T.
6. Output EM.
13.2. Symmetric Algorithm Preferences
The symmetric algorithm preference is an ordered list of algorithms
that the keyholder accepts. Since it is found on a self-signature,
it is possible that a keyholder may have multiple, different
preferences. For example, Alice may have TripleDES only specified
for "alice@work.com" but CAST5, Blowfish, and TripleDES specified for
"alice@home.org". Note that it is also possible for preferences to
be in a subkey's binding signature.
Since TripleDES is the MUST-implement algorithm, if it is not
explicitly in the list, it is tacitly at the end. However, it is
good form to place it there explicitly. Note also that if an
implementation does not implement the preference, then it is
implicitly a TripleDES-only implementation.
An implementation MUST NOT use a symmetric algorithm that is not in
the recipient's preference list. When encrypting to more than one
recipient, the implementation finds a suitable algorithm by taking
the intersection of the preferences of the recipients. Note that the
MUST-implement algorithm, TripleDES, ensures that the intersection is
not null. The implementation may use any mechanism to pick an
algorithm in the intersection.
If an implementation can decrypt a message that a keyholder doesn't
have in their preferences, the implementation SHOULD decrypt the
message anyway, but MUST warn the keyholder that the protocol has
been violated. For example, suppose that Alice, above, has software
that implements all algorithms in this specification. Nonetheless,
she prefers subsets for work or home. If she is sent a message
encrypted with IDEA, which is not in her preferences, the software
warns her that someone sent her an IDEA-encrypted message, but it
would ideally decrypt it anyway.
Callas, et al Standards Track [Page 75]
^L
RFC 4880 OpenPGP Message Format November 2007
13.3. Other Algorithm Preferences
Other algorithm preferences work similarly to the symmetric algorithm
preference, in that they specify which algorithms the keyholder
accepts. There are two interesting cases that other comments need to
be made about, though, the compression preferences and the hash
preferences.
13.3.1. Compression Preferences
Compression has been an integral part of PGP since its first days.
OpenPGP and all previous versions of PGP have offered compression.
In this specification, the default is for messages to be compressed,
although an implementation is not required to do so. Consequently,
the compression preference gives a way for a keyholder to request
that messages not be compressed, presumably because they are using a
minimal implementation that does not include compression.
Additionally, this gives a keyholder a way to state that it can
support alternate algorithms.
Like the algorithm preferences, an implementation MUST NOT use an
algorithm that is not in the preference vector. If the preferences
are not present, then they are assumed to be [ZIP(1),
Uncompressed(0)].
Additionally, an implementation MUST implement this preference to the
degree of recognizing when to send an uncompressed message. A robust
implementation would satisfy this requirement by looking at the
recipient's preference and acting accordingly. A minimal
implementation can satisfy this requirement by never generating a
compressed message, since all implementations can handle messages
that have not been compressed.
13.3.2. Hash Algorithm Preferences
Typically, the choice of a hash algorithm is something the signer
does, rather than the verifier, because a signer rarely knows who is
going to be verifying the signature. This preference, though, allows
a protocol based upon digital signatures ease in negotiation.
Thus, if Alice is authenticating herself to Bob with a signature, it
makes sense for her to use a hash algorithm that Bob's software uses.
This preference allows Bob to state in his key which algorithms Alice
may use.
Since SHA1 is the MUST-implement hash algorithm, if it is not
explicitly in the list, it is tacitly at the end. However, it is
good form to place it there explicitly.
Callas, et al Standards Track [Page 76]
^L
RFC 4880 OpenPGP Message Format November 2007
13.4. Plaintext
Algorithm 0, "plaintext", may only be used to denote secret keys that
are stored in the clear. Implementations MUST NOT use plaintext in
Symmetrically Encrypted Data packets; they must use Literal Data
packets to encode unencrypted or literal data.
13.5. RSA
There are algorithm types for RSA Sign-Only, and RSA Encrypt-Only
keys. These types are deprecated. The "key flags" subpacket in a
signature is a much better way to express the same idea, and
generalizes it to all algorithms. An implementation SHOULD NOT
create such a key, but MAY interpret it.
An implementation SHOULD NOT implement RSA keys of size less than
1024 bits.
13.6. DSA
An implementation SHOULD NOT implement DSA keys of size less than
1024 bits. It MUST NOT implement a DSA key with a q size of less
than 160 bits. DSA keys MUST also be a multiple of 64 bits, and the
q size MUST be a multiple of 8 bits. The Digital Signature Standard
(DSS) [FIPS186] specifies that DSA be used in one of the following
ways:
* 1024-bit key, 160-bit q, SHA-1, SHA-224, SHA-256, SHA-384, or
SHA-512 hash
* 2048-bit key, 224-bit q, SHA-224, SHA-256, SHA-384, or SHA-512
hash
* 2048-bit key, 256-bit q, SHA-256, SHA-384, or SHA-512 hash
* 3072-bit key, 256-bit q, SHA-256, SHA-384, or SHA-512 hash
The above key and q size pairs were chosen to best balance the
strength of the key with the strength of the hash. Implementations
SHOULD use one of the above key and q size pairs when generating DSA
keys. If DSS compliance is desired, one of the specified SHA hashes
must be used as well. [FIPS186] is the ultimate authority on DSS,
and should be consulted for all questions of DSS compliance.
Note that earlier versions of this standard only allowed a 160-bit q
with no truncation allowed, so earlier implementations may not be
able to handle signatures with a different q size or a truncated
hash.
Callas, et al Standards Track [Page 77]
^L
RFC 4880 OpenPGP Message Format November 2007
13.7. Elgamal
An implementation SHOULD NOT implement Elgamal keys of size less than
1024 bits.
13.8. Reserved Algorithm Numbers
A number of algorithm IDs have been reserved for algorithms that
would be useful to use in an OpenPGP implementation, yet there are
issues that prevent an implementer from actually implementing the
algorithm. These are marked in Section 9.1, "Public-Key Algorithms",
as "reserved for".
The reserved public-key algorithms, Elliptic Curve (18), ECDSA (19),
and X9.42 (21), do not have the necessary parameters, parameter
order, or semantics defined.
Previous versions of OpenPGP permitted Elgamal [ELGAMAL] signatures
with a public-key identifier of 20. These are no longer permitted.
An implementation MUST NOT generate such keys. An implementation
MUST NOT generate Elgamal signatures. See [BLEICHENBACHER].
13.9. OpenPGP CFB Mode
OpenPGP does symmetric encryption using a variant of Cipher Feedback
mode (CFB mode). This section describes the procedure it uses in
detail. This mode is what is used for Symmetrically Encrypted Data
Packets; the mechanism used for encrypting secret-key material is
similar, and is described in the sections above.
In the description below, the value BS is the block size in octets of
the cipher. Most ciphers have a block size of 8 octets. The AES and
Twofish have a block size of 16 octets. Also note that the
description below assumes that the IV and CFB arrays start with an
index of 1 (unlike the C language, which assumes arrays start with a
zero index).
OpenPGP CFB mode uses an initialization vector (IV) of all zeros, and
prefixes the plaintext with BS+2 octets of random data, such that
octets BS+1 and BS+2 match octets BS-1 and BS. It does a CFB
resynchronization after encrypting those BS+2 octets.
Thus, for an algorithm that has a block size of 8 octets (64 bits),
the IV is 10 octets long and octets 7 and 8 of the IV are the same as
octets 9 and 10. For an algorithm with a block size of 16 octets
(128 bits), the IV is 18 octets long, and octets 17 and 18 replicate
octets 15 and 16. Those extra two octets are an easy check for a
correct key.
Callas, et al Standards Track [Page 78]
^L
RFC 4880 OpenPGP Message Format November 2007
Step by step, here is the procedure:
1. The feedback register (FR) is set to the IV, which is all zeros.
2. FR is encrypted to produce FRE (FR Encrypted). This is the
encryption of an all-zero value.
3. FRE is xored with the first BS octets of random data prefixed to
the plaintext to produce C[1] through C[BS], the first BS octets
of ciphertext.
4. FR is loaded with C[1] through C[BS].
5. FR is encrypted to produce FRE, the encryption of the first BS
octets of ciphertext.
6. The left two octets of FRE get xored with the next two octets of
data that were prefixed to the plaintext. This produces C[BS+1]
and C[BS+2], the next two octets of ciphertext.
7. (The resynchronization step) FR is loaded with C[3] through
C[BS+2].
8. FR is encrypted to produce FRE.
9. FRE is xored with the first BS octets of the given plaintext, now
that we have finished encrypting the BS+2 octets of prefixed
data. This produces C[BS+3] through C[BS+(BS+2)], the next BS
octets of ciphertext.
10. FR is loaded with C[BS+3] to C[BS + (BS+2)] (which is C11-C18 for
an 8-octet block).
11. FR is encrypted to produce FRE.
12. FRE is xored with the next BS octets of plaintext, to produce
the next BS octets of ciphertext. These are loaded into FR, and
the process is repeated until the plaintext is used up.
13.10. Private or Experimental Parameters
S2K specifiers, Signature subpacket types, user attribute types,
image format types, and algorithms described in Section 9 all reserve
the range 100 to 110 for private and experimental use. Packet types
reserve the range 60 to 63 for private and experimental use. These
are intentionally managed with the PRIVATE USE method, as described
in [RFC2434].
Callas, et al Standards Track [Page 79]
^L
RFC 4880 OpenPGP Message Format November 2007
However, implementations need to be careful with these and promote
them to full IANA-managed parameters when they grow beyond the
original, limited system.
13.11. Extension of the MDC System
As described in the non-normative explanation in Section 5.13, the
MDC system is uniquely unparameterized in OpenPGP. This was an
intentional decision to avoid cross-grade attacks. If the MDC system
is extended to a stronger hash function, care must be taken to avoid
downgrade and cross-grade attacks.
One simple way to do this is to create new packets for a new MDC.
For example, instead of the MDC system using packets 18 and 19, a new
MDC could use 20 and 21. This has obvious drawbacks (it uses two
packet numbers for each new hash function in a space that is limited
to a maximum of 60).
Another simple way to extend the MDC system is to create new versions
of packet 18, and reflect this in packet 19. For example, suppose
that V2 of packet 18 implicitly used SHA-256. This would require
packet 19 to have a length of 32 octets. The change in the version
in packet 18 and the size of packet 19 prevent a downgrade attack.
There are two drawbacks to this latter approach. The first is that
using the version number of a packet to carry algorithm information
is not tidy from a protocol-design standpoint. It is possible that
there might be several versions of the MDC system in common use, but
this untidiness would reflect untidiness in cryptographic consensus
about hash function security. The second is that different versions
of packet 19 would have to have unique sizes. If there were two
versions each with 256-bit hashes, they could not both have 32-octet
packet 19s without admitting the chance of a cross-grade attack.
Yet another, complex approach to extend the MDC system would be a
hybrid of the two above -- create a new pair of MDC packets that are
fully parameterized, and yet protected from downgrade and cross-
grade.
Any change to the MDC system MUST be done through the IETF CONSENSUS
method, as described in [RFC2434].
13.12. Meta-Considerations for Expansion
If OpenPGP is extended in a way that is not backwards-compatible,
meaning that old implementations will not gracefully handle their
Callas, et al Standards Track [Page 80]
^L
RFC 4880 OpenPGP Message Format November 2007
absence of a new feature, the extension proposal can be declared in
the key holder's self-signature as part of the Features signature
subpacket.
We cannot state definitively what extensions will not be upwards-
compatible, but typically new algorithms are upwards-compatible,
whereas new packets are not.
If an extension proposal does not update the Features system, it
SHOULD include an explanation of why this is unnecessary. If the
proposal contains neither an extension to the Features system nor an
explanation of why such an extension is unnecessary, the proposal
SHOULD be rejected.
14. Security Considerations
* As with any technology involving cryptography, you should check the
current literature to determine if any algorithms used here have
been found to be vulnerable to attack.
* This specification uses Public-Key Cryptography technologies. It
is assumed that the private key portion of a public-private key
pair is controlled and secured by the proper party or parties.
* Certain operations in this specification involve the use of random
numbers. An appropriate entropy source should be used to generate
these numbers (see [RFC4086]).
* The MD5 hash algorithm has been found to have weaknesses, with
collisions found in a number of cases. MD5 is deprecated for use
in OpenPGP. Implementations MUST NOT generate new signatures using
MD5 as a hash function. They MAY continue to consider old
signatures that used MD5 as valid.
* SHA-224 and SHA-384 require the same work as SHA-256 and SHA-512,
respectively. In general, there are few reasons to use them
outside of DSS compatibility. You need a situation where one needs
more security than smaller hashes, but does not want to have the
full 256-bit or 512-bit data length.
* Many security protocol designers think that it is a bad idea to use
a single key for both privacy (encryption) and integrity
(signatures). In fact, this was one of the motivating forces
behind the V4 key format with separate signature and encryption
keys. If you as an implementer promote dual-use keys, you should
at least be aware of this controversy.
Callas, et al Standards Track [Page 81]
^L
RFC 4880 OpenPGP Message Format November 2007
* The DSA algorithm will work with any hash, but is sensitive to the
quality of the hash algorithm. Verifiers should be aware that even
if the signer used a strong hash, an attacker could have modified
the signature to use a weak one. Only signatures using acceptably
strong hash algorithms should be accepted as valid.
* As OpenPGP combines many different asymmetric, symmetric, and hash
algorithms, each with different measures of strength, care should
be taken that the weakest element of an OpenPGP message is still
sufficiently strong for the purpose at hand. While consensus about
the strength of a given algorithm may evolve, NIST Special
Publication 800-57 [SP800-57] recommends the following list of
equivalent strengths:
Asymmetric | Hash | Symmetric
key size | size | key size
------------+--------+-----------
1024 160 80
2048 224 112
3072 256 128
7680 384 192
15360 512 256
* There is a somewhat-related potential security problem in
signatures. If an attacker can find a message that hashes to the
same hash with a different algorithm, a bogus signature structure
can be constructed that evaluates correctly.
For example, suppose Alice DSA signs message M using hash algorithm
H. Suppose that Mallet finds a message M' that has the same hash
value as M with H'. Mallet can then construct a signature block
that verifies as Alice's signature of M' with H'. However, this
would also constitute a weakness in either H or H' or both. Should
this ever occur, a revision will have to be made to this document
to revise the allowed hash algorithms.
* If you are building an authentication system, the recipient may
specify a preferred signing algorithm. However, the signer would
be foolish to use a weak algorithm simply because the recipient
requests it.
* Some of the encryption algorithms mentioned in this document have
been analyzed less than others. For example, although CAST5 is
presently considered strong, it has been analyzed less than
TripleDES. Other algorithms may have other controversies
surrounding them.
Callas, et al Standards Track [Page 82]
^L
RFC 4880 OpenPGP Message Format November 2007
* In late summer 2002, Jallad, Katz, and Schneier published an
interesting attack on the OpenPGP protocol and some of its
implementations [JKS02]. In this attack, the attacker modifies a
message and sends it to a user who then returns the erroneously
decrypted message to the attacker. The attacker is thus using the
user as a random oracle, and can often decrypt the message.
Compressing data can ameliorate this attack. The incorrectly
decrypted data nearly always decompresses in ways that defeat the
attack. However, this is not a rigorous fix, and leaves open some
small vulnerabilities. For example, if an implementation does not
compress a message before encryption (perhaps because it knows it
was already compressed), then that message is vulnerable. Because
of this happenstance -- that modification attacks can be thwarted
by decompression errors -- an implementation SHOULD treat a
decompression error as a security problem, not merely a data
problem.
This attack can be defeated by the use of Modification Detection,
provided that the implementation does not let the user naively
return the data to the attacker. An implementation MUST treat an
MDC failure as a security problem, not merely a data problem.
In either case, the implementation MAY allow the user access to the
erroneous data, but MUST warn the user as to potential security
problems should that data be returned to the sender.
While this attack is somewhat obscure, requiring a special set of
circumstances to create it, it is nonetheless quite serious as it
permits someone to trick a user to decrypt a message.
Consequently, it is important that:
1. Implementers treat MDC errors and decompression failures as
security problems.
2. Implementers implement Modification Detection with all due
speed and encourage its spread.
3. Users migrate to implementations that support Modification
Detection with all due speed.
* PKCS#1 has been found to be vulnerable to attacks in which a system
that reports errors in padding differently from errors in
decryption becomes a random oracle that can leak the private key in
mere millions of queries. Implementations must be aware of this
attack and prevent it from happening. The simplest solution is to
report a single error code for all variants of decryption errors so
as not to leak information to an attacker.
Callas, et al Standards Track [Page 83]
^L
RFC 4880 OpenPGP Message Format November 2007
* Some technologies mentioned here may be subject to government
control in some countries.
* In winter 2005, Serge Mister and Robert Zuccherato from Entrust
released a paper describing a way that the "quick check" in OpenPGP
CFB mode can be used with a random oracle to decrypt two octets of
every cipher block [MZ05]. They recommend as prevention not using
the quick check at all.
Many implementers have taken this advice to heart for any data that
is symmetrically encrypted and for which the session key is
public-key encrypted. In this case, the quick check is not needed
as the public-key encryption of the session key should guarantee
that it is the right session key. In other cases, the
implementation should use the quick check with care.
On the one hand, there is a danger to using it if there is a random
oracle that can leak information to an attacker. In plainer
language, there is a danger to using the quick check if timing
information about the check can be exposed to an attacker,
particularly via an automated service that allows rapidly repeated
queries.
On the other hand, it is inconvenient to the user to be informed
that they typed in the wrong passphrase only after a petabyte of
data is decrypted. There are many cases in cryptographic
engineering where the implementer must use care and wisdom, and
this is one.
15. Implementation Nits
This section is a collection of comments to help an implementer,
particularly with an eye to backward compatibility. Previous
implementations of PGP are not OpenPGP compliant. Often the
differences are small, but small differences are frequently more
vexing than large differences. Thus, this is a non-comprehensive
list of potential problems and gotchas for a developer who is trying
to be backward-compatible.
* The IDEA algorithm is patented, and yet it is required for PGP
2.x interoperability. It is also the de-facto preferred
algorithm for a V3 key with a V3 self-signature (or no self-
signature).
* When exporting a private key, PGP 2.x generates the header "BEGIN
PGP SECRET KEY BLOCK" instead of "BEGIN PGP PRIVATE KEY BLOCK".
All previous versions ignore the implied data type, and look
directly at the packet data type.
Callas, et al Standards Track [Page 84]
^L
RFC 4880 OpenPGP Message Format November 2007
* PGP 2.0 through 2.5 generated V2 Public-Key packets. These are
identical to the deprecated V3 keys except for the version
number. An implementation MUST NOT generate them and may accept
or reject them as it sees fit. Some older PGP versions generated
V2 PKESK packets (Tag 1) as well. An implementation may accept
or reject V2 PKESK packets as it sees fit, and MUST NOT generate
them.
* PGP 2.6.x will not accept key-material packets with versions
greater than 3.
* There are many ways possible for two keys to have the same key
material, but different fingerprints (and thus Key IDs). Perhaps
the most interesting is an RSA key that has been "upgraded" to V4
format, but since a V4 fingerprint is constructed by hashing the
key creation time along with other things, two V4 keys created at
different times, yet with the same key material will have
different fingerprints.
* If an implementation is using zlib to interoperate with PGP 2.x,
then the "windowBits" parameter should be set to -13.
* The 0x19 back signatures were not required for signing subkeys
until relatively recently. Consequently, there may be keys in
the wild that do not have these back signatures. Implementing
software may handle these keys as it sees fit.
* OpenPGP does not put limits on the size of public keys. However,
larger keys are not necessarily better keys. Larger keys take
more computation time to use, and this can quickly become
impractical. Different OpenPGP implementations may also use
different upper bounds for public key sizes, and so care should
be taken when choosing sizes to maintain interoperability. As of
2007 most implementations have an upper bound of 4096 bits.
* ASCII armor is an optional feature of OpenPGP. The OpenPGP
working group strives for a minimal set of mandatory-to-implement
features, and since there could be useful implementations that
only use binary object formats, this is not a "MUST" feature for
an implementation. For example, an implementation that is using
OpenPGP as a mechanism for file signatures may find ASCII armor
unnecessary. OpenPGP permits an implementation to declare what
features it does and does not support, but ASCII armor is not one
of these. Since most implementations allow binary and armored
objects to be used indiscriminately, an implementation that does
not implement ASCII armor may find itself with compatibility
issues with general-purpose implementations. Moreover,
implementations of OpenPGP-MIME [RFC3156] already have a
Callas, et al Standards Track [Page 85]
^L
RFC 4880 OpenPGP Message Format November 2007
requirement for ASCII armor so those implementations will
necessarily have support.
16. References
16.1. Normative References
[AES] NIST, FIPS PUB 197, "Advanced Encryption Standard
(AES)," November 2001.
http://csrc.nist.gov/publications/fips/fips197/fips-
197.{ps,pdf}
[BLOWFISH] Schneier, B. "Description of a New Variable-Length
Key, 64-Bit Block Cipher (Blowfish)" Fast Software
Encryption, Cambridge Security Workshop Proceedings
(December 1993), Springer-Verlag, 1994, pp191-204
<http://www.counterpane.com/bfsverlag.html>
[BZ2] J. Seward, jseward@acm.org, "The Bzip2 and libbzip2
home page" <http://www.bzip.org/>
[ELGAMAL] T. Elgamal, "A Public-Key Cryptosystem and a
Signature Scheme Based on Discrete Logarithms," IEEE
Transactions on Information Theory, v. IT-31, n. 4,
1985, pp. 469-472.
[FIPS180] Secure Hash Signature Standard (SHS) (FIPS PUB 180-
2).
<http://csrc.nist.gov/publications/fips/fips180-
2/fips180-2withchangenotice.pdf>
[FIPS186] Digital Signature Standard (DSS) (FIPS PUB 186-2).
<http://csrc.nist.gov/publications/fips/fips186-2/
fips186-2-change1.pdf> FIPS 186-3 describes keys
greater than 1024 bits. The latest draft is at:
<http://csrc.nist.gov/publications/drafts/
fips_186-3/Draft-FIPS-186-3%20_March2006.pdf>
[HAC] Alfred Menezes, Paul van Oorschot, and Scott
Vanstone, "Handbook of Applied Cryptography," CRC
Press, 1996.
<http://www.cacr.math.uwaterloo.ca/hac/>
[IDEA] Lai, X, "On the design and security of block
ciphers", ETH Series in Information Processing, J.L.
Massey (editor), Vol. 1, Hartung-Gorre Verlag
Knostanz, Technische Hochschule (Zurich), 1992
Callas, et al Standards Track [Page 86]
^L
RFC 4880 OpenPGP Message Format November 2007
[ISO10646] ISO/IEC 10646-1:1993. International Standard --
Information technology -- Universal Multiple-Octet
Coded Character Set (UCS) -- Part 1: Architecture
and Basic Multilingual Plane.
[JFIF] JPEG File Interchange Format (Version 1.02). Eric
Hamilton, C-Cube Microsystems, Milpitas, CA,
September 1, 1992.
[RFC1950] Deutsch, P. and J-L. Gailly, "ZLIB Compressed Data
Format Specification version 3.3", RFC 1950, May
1996.
[RFC1951] Deutsch, P., "DEFLATE Compressed Data Format
Specification version 1.3", RFC 1951, May 1996.
[RFC2045] Freed, N. and N. Borenstein, "Multipurpose Internet
Mail Extensions (MIME) Part One: Format of Internet
Message Bodies", RFC 2045, November 1996
[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate
Requirement Levels", BCP 14, RFC 2119, March 1997.
[RFC2144] Adams, C., "The CAST-128 Encryption Algorithm", RFC
2144, May 1997.
[RFC2434] Narten, T. and H. Alvestrand, "Guidelines for
Writing an IANA Considerations Section in RFCs", BCP
26, RFC 2434, October 1998.
[RFC2822] Resnick, P., "Internet Message Format", RFC 2822,
April 2001.
[RFC3156] Elkins, M., Del Torto, D., Levien, R., and T.
Roessler, "MIME Security with OpenPGP", RFC 3156,
August 2001.
[RFC3447] Jonsson, J. and B. Kaliski, "Public-Key Cryptography
Standards (PKCS) #1: RSA Cryptography Specifications
Version 2.1", RFC 3447, February 2003.
[RFC3629] Yergeau, F., "UTF-8, a transformation format of ISO
10646", STD 63, RFC 3629, November 2003.
[RFC4086] Eastlake, D., 3rd, Schiller, J., and S. Crocker,
"Randomness Requirements for Security", BCP 106, RFC
4086, June 2005.
Callas, et al Standards Track [Page 87]
^L
RFC 4880 OpenPGP Message Format November 2007
[SCHNEIER] Schneier, B., "Applied Cryptography Second Edition:
protocols, algorithms, and source code in C", 1996.
[TWOFISH] B. Schneier, J. Kelsey, D. Whiting, D. Wagner, C.
Hall, and N. Ferguson, "The Twofish Encryption
Algorithm", John Wiley & Sons, 1999.
16.2. Informative References
[BLEICHENBACHER] Bleichenbacher, Daniel, "Generating Elgamal
signatures without knowing the secret key,"
Eurocrypt 96. Note that the version in the
proceedings has an error. A revised version is
available at the time of writing from
<ftp://ftp.inf.ethz.ch/pub/publications/papers/ti
/isc/ElGamal.ps>
[JKS02] Kahil Jallad, Jonathan Katz, Bruce Schneier
"Implementation of Chosen-Ciphertext Attacks against
PGP and GnuPG" http://www.counterpane.com/pgp-
attack.html
[MAURER] Ueli Maurer, "Modelling a Public-Key
Infrastructure", Proc. 1996 European Symposium on
Research in Computer Security (ESORICS' 96), Lecture
Notes in Computer Science, Springer-Verlag, vol.
1146, pp. 325-350, Sep 1996.
[MZ05] Serge Mister, Robert Zuccherato, "An Attack on CFB
Mode Encryption As Used By OpenPGP," IACR ePrint
Archive: Report 2005/033, 8 Feb 2005
http://eprint.iacr.org/2005/033
[REGEX] Jeffrey Friedl, "Mastering Regular Expressions,"
O'Reilly, ISBN 0-596-00289-0.
[RFC1423] Balenson, D., "Privacy Enhancement for Internet
Electronic Mail: Part III: Algorithms, Modes, and
Identifiers", RFC 1423, February 1993.
[RFC1991] Atkins, D., Stallings, W., and P. Zimmermann, "PGP
Message Exchange Formats", RFC 1991, August 1996.
[RFC2440] Callas, J., Donnerhacke, L., Finney, H., and R.
Thayer, "OpenPGP Message Format", RFC 2440, November
1998.
Callas, et al Standards Track [Page 88]
^L
RFC 4880 OpenPGP Message Format November 2007
[SP800-57] NIST Special Publication 800-57, Recommendation on
Key Management
<http://csrc.nist.gov/publications/nistpubs/ 800-
57/SP800-57-Part1.pdf>
<http://csrc.nist.gov/publications/nistpubs/ 800-
57/SP800-57-Part2.pdf>
Acknowledgements
This memo also draws on much previous work from a number of other
authors, including: Derek Atkins, Charles Breed, Dave Del Torto, Marc
Dyksterhouse, Gail Haspert, Gene Hoffman, Paul Hoffman, Ben Laurie,
Raph Levien, Colin Plumb, Will Price, David Shaw, William Stallings,
Mark Weaver, and Philip R. Zimmermann.
Authors' Addresses
The working group can be contacted via the current chair:
Derek Atkins
IHTFP Consulting, Inc.
4 Farragut Ave
Somerville, MA 02144 USA
EMail: derek@ihtfp.com
Tel: +1 617 623 3745
The principal authors of this document are as follows:
Jon Callas
EMail: jon@callas.org
Lutz Donnerhacke
IKS GmbH
Wildenbruchstr. 15
07745 Jena, Germany
EMail: lutz@iks-jena.de
Hal Finney
EMail: hal@finney.org
David Shaw
EMail: dshaw@jabberwocky.com
Rodney Thayer
EMail: rodney@canola-jones.com
Callas, et al Standards Track [Page 89]
^L
RFC 4880 OpenPGP Message Format November 2007
Full Copyright Statement
Copyright (C) The IETF Trust (2007).
This document is subject to the rights, licenses and restrictions
contained in BCP 78, and except as set forth therein, the authors
retain all their rights.
This document and the information contained herein are provided on an
"AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS
OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY, THE IETF TRUST AND
THE INTERNET ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS
OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF
THE INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED
WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
Intellectual Property
The IETF takes no position regarding the validity or scope of any
Intellectual Property Rights or other rights that might be claimed to
pertain to the implementation or use of the technology described in
this document or the extent to which any license under such rights
might or might not be available; nor does it represent that it has
made any independent effort to identify any such rights. Information
on the procedures with respect to rights in RFC documents can be
found in BCP 78 and BCP 79.
Copies of IPR disclosures made to the IETF Secretariat and any
assurances of licenses to be made available, or the result of an
attempt made to obtain a general license or permission for the use of
such proprietary rights by implementers or users of this
specification can be obtained from the IETF on-line IPR repository at
http://www.ietf.org/ipr.
The IETF invites any interested party to bring to its attention any
copyrights, patents or patent applications, or other proprietary
rights that may cover technology that may be required to implement
this standard. Please address the information to the IETF at
ietf-ipr@ietf.org.
Callas, et al Standards Track [Page 90]
^L
|