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
|
Network Working Group E. Allman
Request for Comments: 4871 Sendmail, Inc.
Obsoletes: 4870 J. Callas
Category: Standards Track PGP Corporation
M. Delany
M. Libbey
Yahoo! Inc
J. Fenton
M. Thomas
Cisco Systems, Inc.
May 2007
DomainKeys Identified Mail (DKIM) Signatures
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.
Copyright Notice
Copyright (C) The IETF Trust (2007).
Abstract
DomainKeys Identified Mail (DKIM) defines a domain-level
authentication framework for email using public-key cryptography and
key server technology to permit verification of the source and
contents of messages by either Mail Transfer Agents (MTAs) or Mail
User Agents (MUAs). The ultimate goal of this framework is to permit
a signing domain to assert responsibility for a message, thus
protecting message signer identity and the integrity of the messages
they convey while retaining the functionality of Internet email as it
is known today. Protection of email identity may assist in the
global control of "spam" and "phishing".
Allman, et al. Standards Track [Page 1]
^L
RFC 4871 DKIM Signatures May 2007
Table of Contents
1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.1. Signing Identity . . . . . . . . . . . . . . . . . . . . . 5
1.2. Scalability . . . . . . . . . . . . . . . . . . . . . . . 5
1.3. Simple Key Management . . . . . . . . . . . . . . . . . . 5
2. Terminology and Definitions . . . . . . . . . . . . . . . . . 5
2.1. Signers . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2. Verifiers . . . . . . . . . . . . . . . . . . . . . . . . 6
2.3. Whitespace . . . . . . . . . . . . . . . . . . . . . . . . 6
2.4. Common ABNF Tokens . . . . . . . . . . . . . . . . . . . . 6
2.5. Imported ABNF Tokens . . . . . . . . . . . . . . . . . . . 7
2.6. DKIM-Quoted-Printable . . . . . . . . . . . . . . . . . . 7
3. Protocol Elements . . . . . . . . . . . . . . . . . . . . . . 8
3.1. Selectors . . . . . . . . . . . . . . . . . . . . . . . . 8
3.2. Tag=Value Lists . . . . . . . . . . . . . . . . . . . . . 10
3.3. Signing and Verification Algorithms . . . . . . . . . . . 11
3.4. Canonicalization . . . . . . . . . . . . . . . . . . . . . 13
3.5. The DKIM-Signature Header Field . . . . . . . . . . . . . 17
3.6. Key Management and Representation . . . . . . . . . . . . 25
3.7. Computing the Message Hashes . . . . . . . . . . . . . . . 29
3.8. Signing by Parent Domains . . . . . . . . . . . . . . . . 31
4. Semantics of Multiple Signatures . . . . . . . . . . . . . . . 32
4.1. Example Scenarios . . . . . . . . . . . . . . . . . . . . 32
4.2. Interpretation . . . . . . . . . . . . . . . . . . . . . . 33
5. Signer Actions . . . . . . . . . . . . . . . . . . . . . . . . 34
5.1. Determine Whether the Email Should Be Signed and by
Whom . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
5.2. Select a Private Key and Corresponding Selector
Information . . . . . . . . . . . . . . . . . . . . . . . 35
5.3. Normalize the Message to Prevent Transport Conversions . . 35
5.4. Determine the Header Fields to Sign . . . . . . . . . . . 36
5.5. Recommended Signature Content . . . . . . . . . . . . . . 38
5.6. Compute the Message Hash and Signature . . . . . . . . . . 39
5.7. Insert the DKIM-Signature Header Field . . . . . . . . . . 40
6. Verifier Actions . . . . . . . . . . . . . . . . . . . . . . . 40
6.1. Extract Signatures from the Message . . . . . . . . . . . 41
6.2. Communicate Verification Results . . . . . . . . . . . . . 46
6.3. Interpret Results/Apply Local Policy . . . . . . . . . . . 47
7. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 48
7.1. DKIM-Signature Tag Specifications . . . . . . . . . . . . 48
7.2. DKIM-Signature Query Method Registry . . . . . . . . . . . 49
7.3. DKIM-Signature Canonicalization Registry . . . . . . . . . 49
7.4. _domainkey DNS TXT Record Tag Specifications . . . . . . . 50
7.5. DKIM Key Type Registry . . . . . . . . . . . . . . . . . . 50
7.6. DKIM Hash Algorithms Registry . . . . . . . . . . . . . . 51
7.7. DKIM Service Types Registry . . . . . . . . . . . . . . . 51
7.8. DKIM Selector Flags Registry . . . . . . . . . . . . . . . 52
Allman, et al. Standards Track [Page 2]
^L
RFC 4871 DKIM Signatures May 2007
7.9. DKIM-Signature Header Field . . . . . . . . . . . . . . . 52
8. Security Considerations . . . . . . . . . . . . . . . . . . . 52
8.1. Misuse of Body Length Limits ("l=" Tag) . . . . . . . . . 52
8.2. Misappropriated Private Key . . . . . . . . . . . . . . . 53
8.3. Key Server Denial-of-Service Attacks . . . . . . . . . . . 54
8.4. Attacks Against the DNS . . . . . . . . . . . . . . . . . 54
8.5. Replay Attacks . . . . . . . . . . . . . . . . . . . . . . 55
8.6. Limits on Revoking Keys . . . . . . . . . . . . . . . . . 55
8.7. Intentionally Malformed Key Records . . . . . . . . . . . 56
8.8. Intentionally Malformed DKIM-Signature Header Fields . . . 56
8.9. Information Leakage . . . . . . . . . . . . . . . . . . . 56
8.10. Remote Timing Attacks . . . . . . . . . . . . . . . . . . 56
8.11. Reordered Header Fields . . . . . . . . . . . . . . . . . 56
8.12. RSA Attacks . . . . . . . . . . . . . . . . . . . . . . . 56
8.13. Inappropriate Signing by Parent Domains . . . . . . . . . 57
9. References . . . . . . . . . . . . . . . . . . . . . . . . . . 57
9.1. Normative References . . . . . . . . . . . . . . . . . . . 57
9.2. Informative References . . . . . . . . . . . . . . . . . . 58
Appendix A. Example of Use (INFORMATIVE) . . . . . . . . . . . . 60
A.1. The user composes an email . . . . . . . . . . . . . . . . 60
A.2. The email is signed . . . . . . . . . . . . . . . . . . . 61
A.3. The email signature is verified . . . . . . . . . . . . . 61
Appendix B. Usage Examples (INFORMATIVE) . . . . . . . . . . . . 62
B.1. Alternate Submission Scenarios . . . . . . . . . . . . . . 63
B.2. Alternate Delivery Scenarios . . . . . . . . . . . . . . . 65
Appendix C. Creating a Public Key (INFORMATIVE) . . . . . . . . . 67
Appendix D. MUA Considerations . . . . . . . . . . . . . . . . . 68
Appendix E. Acknowledgements . . . . . . . . . . . . . . . . . . 69
Allman, et al. Standards Track [Page 3]
^L
RFC 4871 DKIM Signatures May 2007
1. Introduction
DomainKeys Identified Mail (DKIM) defines a mechanism by which email
messages can be cryptographically signed, permitting a signing domain
to claim responsibility for the introduction of a message into the
mail stream. Message recipients can verify the signature by querying
the signer's domain directly to retrieve the appropriate public key,
and thereby confirm that the message was attested to by a party in
possession of the private key for the signing domain.
The approach taken by DKIM differs from previous approaches to
message signing (e.g., Secure/Multipurpose Internet Mail Extensions
(S/MIME) [RFC1847], OpenPGP [RFC2440]) in that:
o the message signature is written as a message header field so that
neither human recipients nor existing MUA (Mail User Agent)
software is confused by signature-related content appearing in the
message body;
o there is no dependency on public and private key pairs being
issued by well-known, trusted certificate authorities;
o there is no dependency on the deployment of any new Internet
protocols or services for public key distribution or revocation;
o signature verification failure does not force rejection of the
message;
o no attempt is made to include encryption as part of the mechanism;
o message archiving is not a design goal.
DKIM:
o is compatible with the existing email infrastructure and
transparent to the fullest extent possible;
o requires minimal new infrastructure;
o can be implemented independently of clients in order to reduce
deployment time;
o can be deployed incrementally;
o allows delegation of signing to third parties.
Allman, et al. Standards Track [Page 4]
^L
RFC 4871 DKIM Signatures May 2007
1.1. Signing Identity
DKIM separates the question of the identity of the signer of the
message from the purported author of the message. In particular, a
signature includes the identity of the signer. Verifiers can use the
signing information to decide how they want to process the message.
The signing identity is included as part of the signature header
field.
INFORMATIVE RATIONALE: The signing identity specified by a DKIM
signature is not required to match an address in any particular
header field because of the broad methods of interpretation by
recipient mail systems, including MUAs.
1.2. Scalability
DKIM is designed to support the extreme scalability requirements that
characterize the email identification problem. There are currently
over 70 million domains and a much larger number of individual
addresses. DKIM seeks to preserve the positive aspects of the
current email infrastructure, such as the ability for anyone to
communicate with anyone else without introduction.
1.3. Simple Key Management
DKIM differs from traditional hierarchical public-key systems in that
no Certificate Authority infrastructure is required; the verifier
requests the public key from a repository in the domain of the
claimed signer directly rather than from a third party.
The DNS is proposed as the initial mechanism for the public keys.
Thus, DKIM currently depends on DNS administration and the security
of the DNS system. DKIM is designed to be extensible to other key
fetching services as they become available.
2. Terminology and Definitions
This section defines terms used in the rest of the document. Syntax
descriptions use the form described in Augmented BNF for Syntax
Specifications [RFC4234].
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].
Allman, et al. Standards Track [Page 5]
^L
RFC 4871 DKIM Signatures May 2007
2.1. Signers
Elements in the mail system that sign messages on behalf of a domain
are referred to as signers. These may be MUAs (Mail User Agents),
MSAs (Mail Submission Agents), MTAs (Mail Transfer Agents), or other
agents such as mailing list exploders. In general, any signer will
be involved in the injection of a message into the message system in
some way. The key issue is that a message must be signed before it
leaves the administrative domain of the signer.
2.2. Verifiers
Elements in the mail system that verify signatures are referred to as
verifiers. These may be MTAs, Mail Delivery Agents (MDAs), or MUAs.
In most cases it is expected that verifiers will be close to an end
user (reader) of the message or some consuming agent such as a
mailing list exploder.
2.3. Whitespace
There are three forms of whitespace:
o WSP represents simple whitespace, i.e., a space or a tab character
(formal definition in [RFC4234]).
o LWSP is linear whitespace, defined as WSP plus CRLF (formal
definition in [RFC4234]).
o FWS is folding whitespace. It allows multiple lines separated by
CRLF followed by at least one whitespace, to be joined.
The formal ABNF for these are (WSP and LWSP are given for information
only):
WSP = SP / HTAB
LWSP = *(WSP / CRLF WSP)
FWS = [*WSP CRLF] 1*WSP
The definition of FWS is identical to that in [RFC2822] except for
the exclusion of obs-FWS.
2.4. Common ABNF Tokens
The following ABNF tokens are used elsewhere in this document:
hyphenated-word = ALPHA [ *(ALPHA / DIGIT / "-") (ALPHA / DIGIT) ]
base64string = 1*(ALPHA / DIGIT / "+" / "/" / [FWS])
[ "=" [FWS] [ "=" [FWS] ] ]
Allman, et al. Standards Track [Page 6]
^L
RFC 4871 DKIM Signatures May 2007
2.5. Imported ABNF Tokens
The following tokens are imported from other RFCs as noted. Those
RFCs should be considered definitive.
The following tokens are imported from [RFC2821]:
o "Local-part" (implementation warning: this permits quoted strings)
o "sub-domain"
The following tokens are imported from [RFC2822]:
o "field-name" (name of a header field)
o "dot-atom-text" (in the Local-part of an email address)
The following tokens are imported from [RFC2045]:
o "qp-section" (a single line of quoted-printable-encoded text)
o "hex-octet" (a quoted-printable encoded octet)
INFORMATIVE NOTE: Be aware that the ABNF in RFC 2045 does not obey
the rules of RFC 4234 and must be interpreted accordingly,
particularly as regards case folding.
Other tokens not defined herein are imported from [RFC4234]. These
are intuitive primitives such as SP, HTAB, WSP, ALPHA, DIGIT, CRLF,
etc.
2.6. DKIM-Quoted-Printable
The DKIM-Quoted-Printable encoding syntax resembles that described in
Quoted-Printable [RFC2045], Section 6.7: any character MAY be encoded
as an "=" followed by two hexadecimal digits from the alphabet
"0123456789ABCDEF" (no lowercase characters permitted) representing
the hexadecimal-encoded integer value of that character. All control
characters (those with values < %x20), 8-bit characters (values >
%x7F), and the characters DEL (%x7F), SPACE (%x20), and semicolon
(";", %x3B) MUST be encoded. Note that all whitespace, including
SPACE, CR, and LF characters, MUST be encoded. After encoding, FWS
MAY be added at arbitrary locations in order to avoid excessively
long lines; such whitespace is NOT part of the value, and MUST be
removed before decoding.
Allman, et al. Standards Track [Page 7]
^L
RFC 4871 DKIM Signatures May 2007
ABNF:
dkim-quoted-printable =
*(FWS / hex-octet / dkim-safe-char)
; hex-octet is from RFC 2045
dkim-safe-char = %x21-3A / %x3C / %x3E-7E
; '!' - ':', '<', '>' - '~'
; Characters not listed as "mail-safe" in
; RFC 2049 are also not recommended.
INFORMATIVE NOTE: DKIM-Quoted-Printable differs from Quoted-
Printable as defined in RFC 2045 in several important ways:
1. Whitespace in the input text, including CR and LF, must be
encoded. RFC 2045 does not require such encoding, and does
not permit encoding of CR or LF characters that are part of a
CRLF line break.
2. Whitespace in the encoded text is ignored. This is to allow
tags encoded using DKIM-Quoted-Printable to be wrapped as
needed. In particular, RFC 2045 requires that line breaks in
the input be represented as physical line breaks; that is not
the case here.
3. The "soft line break" syntax ("=" as the last non-whitespace
character on the line) does not apply.
4. DKIM-Quoted-Printable does not require that encoded lines be
no more than 76 characters long (although there may be other
requirements depending on the context in which the encoded
text is being used).
3. Protocol Elements
Protocol Elements are conceptual parts of the protocol that are not
specific to either signers or verifiers. The protocol descriptions
for signers and verifiers are described in later sections (Signer
Actions (Section 5) and Verifier Actions (Section 6)). NOTE: This
section must be read in the context of those sections.
3.1. Selectors
To support multiple concurrent public keys per signing domain, the
key namespace is subdivided using "selectors". For example,
selectors might indicate the names of office locations (e.g.,
"sanfrancisco", "coolumbeach", and "reykjavik"), the signing date
(e.g., "january2005", "february2005", etc.), or even the individual
user.
Allman, et al. Standards Track [Page 8]
^L
RFC 4871 DKIM Signatures May 2007
Selectors are needed to support some important use cases. For
example:
o Domains that want to delegate signing capability for a specific
address for a given duration to a partner, such as an advertising
provider or other outsourced function.
o Domains that want to allow frequent travelers to send messages
locally without the need to connect with a particular MSA.
o "Affinity" domains (e.g., college alumni associations) that
provide forwarding of incoming mail, but that do not operate a
mail submission agent for outgoing mail.
Periods are allowed in selectors and are component separators. When
keys are retrieved from the DNS, periods in selectors define DNS
label boundaries in a manner similar to the conventional use in
domain names. Selector components might be used to combine dates
with locations, for example, "march2005.reykjavik". In a DNS
implementation, this can be used to allow delegation of a portion of
the selector namespace.
ABNF:
selector = sub-domain *( "." sub-domain )
The number of public keys and corresponding selectors for each domain
is determined by the domain owner. Many domain owners will be
satisfied with just one selector, whereas administratively
distributed organizations may choose to manage disparate selectors
and key pairs in different regions or on different email servers.
Beyond administrative convenience, selectors make it possible to
seamlessly replace public keys on a routine basis. If a domain
wishes to change from using a public key associated with selector
"january2005" to a public key associated with selector
"february2005", it merely makes sure that both public keys are
advertised in the public-key repository concurrently for the
transition period during which email may be in transit prior to
verification. At the start of the transition period, the outbound
email servers are configured to sign with the "february2005" private
key. At the end of the transition period, the "january2005" public
key is removed from the public-key repository.
INFORMATIVE NOTE: A key may also be revoked as described below.
The distinction between revoking and removing a key selector
record is subtle. When phasing out keys as described above, a
signing domain would probably simply remove the key record after
Allman, et al. Standards Track [Page 9]
^L
RFC 4871 DKIM Signatures May 2007
the transition period. However, a signing domain could elect to
revoke the key (but maintain the key record) for a further period.
There is no defined semantic difference between a revoked key and
a removed key.
While some domains may wish to make selector values well known,
others will want to take care not to allocate selector names in a way
that allows harvesting of data by outside parties. For example, if
per-user keys are issued, the domain owner will need to make the
decision as to whether to associate this selector directly with the
user name, or make it some unassociated random value, such as a
fingerprint of the public key.
INFORMATIVE OPERATIONS NOTE: Reusing a selector with a new key
(for example, changing the key associated with a user's name)
makes it impossible to tell the difference between a message that
didn't verify because the key is no longer valid versus a message
that is actually forged. For this reason, signers are ill-advised
to reuse selectors for new keys. A better strategy is to assign
new keys to new selectors.
3.2. Tag=Value Lists
DKIM uses a simple "tag=value" syntax in several contexts, including
in messages and domain signature records.
Values are a series of strings containing either plain text, "base64"
text (as defined in [RFC2045], Section 6.8), "qp-section" (ibid,
Section 6.7), or "dkim-quoted-printable" (as defined in Section 2.6).
The name of the tag will determine the encoding of each value.
Unencoded semicolon (";") characters MUST NOT occur in the tag value,
since that separates tag-specs.
INFORMATIVE IMPLEMENTATION NOTE: Although the "plain text" defined
below (as "tag-value") only includes 7-bit characters, an
implementation that wished to anticipate future standards would be
advised not to preclude the use of UTF8-encoded text in tag=value
lists.
Allman, et al. Standards Track [Page 10]
^L
RFC 4871 DKIM Signatures May 2007
Formally, the syntax rules are as follows:
tag-list = tag-spec 0*( ";" tag-spec ) [ ";" ]
tag-spec = [FWS] tag-name [FWS] "=" [FWS] tag-value [FWS]
tag-name = ALPHA 0*ALNUMPUNC
tag-value = [ tval 0*( 1*(WSP / FWS) tval ) ]
; WSP and FWS prohibited at beginning and end
tval = 1*VALCHAR
VALCHAR = %x21-3A / %x3C-7E
; EXCLAMATION to TILDE except SEMICOLON
ALNUMPUNC = ALPHA / DIGIT / "_"
Note that WSP is allowed anywhere around tags. In particular, any
WSP after the "=" and any WSP before the terminating ";" is not part
of the value; however, WSP inside the value is significant.
Tags MUST be interpreted in a case-sensitive manner. Values MUST be
processed as case sensitive unless the specific tag description of
semantics specifies case insensitivity.
Tags with duplicate names MUST NOT occur within a single tag-list; if
a tag name does occur more than once, the entire tag-list is invalid.
Whitespace within a value MUST be retained unless explicitly excluded
by the specific tag description.
Tag=value pairs that represent the default value MAY be included to
aid legibility.
Unrecognized tags MUST be ignored.
Tags that have an empty value are not the same as omitted tags. An
omitted tag is treated as having the default value; a tag with an
empty value explicitly designates the empty string as the value. For
example, "g=" does not mean "g=*", even though "g=*" is the default
for that tag.
3.3. Signing and Verification Algorithms
DKIM supports multiple digital signature algorithms. Two algorithms
are defined by this specification at this time: rsa-sha1 and rsa-
sha256. The rsa-sha256 algorithm is the default if no algorithm is
specified. Verifiers MUST implement both rsa-sha1 and rsa-sha256.
Signers MUST implement and SHOULD sign using rsa-sha256.
Allman, et al. Standards Track [Page 11]
^L
RFC 4871 DKIM Signatures May 2007
INFORMATIVE NOTE: Although sha256 is strongly encouraged, some
senders of low-security messages (such as routine newsletters) may
prefer to use sha1 because of reduced CPU requirements to compute
a sha1 hash. In general, sha256 should always be used whenever
possible.
3.3.1. The rsa-sha1 Signing Algorithm
The rsa-sha1 Signing Algorithm computes a message hash as described
in Section 3.7 below using SHA-1 [FIPS.180-2.2002] as the hash-alg.
That hash is then signed by the signer using the RSA algorithm
(defined in PKCS#1 version 1.5 [RFC3447]) as the crypt-alg and the
signer's private key. The hash MUST NOT be truncated or converted
into any form other than the native binary form before being signed.
The signing algorithm SHOULD use a public exponent of 65537.
3.3.2. The rsa-sha256 Signing Algorithm
The rsa-sha256 Signing Algorithm computes a message hash as described
in Section 3.7 below using SHA-256 [FIPS.180-2.2002] as the hash-alg.
That hash is then signed by the signer using the RSA algorithm
(defined in PKCS#1 version 1.5 [RFC3447]) as the crypt-alg and the
signer's private key. The hash MUST NOT be truncated or converted
into any form other than the native binary form before being signed.
3.3.3. Key Sizes
Selecting appropriate key sizes is a trade-off between cost,
performance, and risk. Since short RSA keys more easily succumb to
off-line attacks, signers MUST use RSA keys of at least 1024 bits for
long-lived keys. Verifiers MUST be able to validate signatures with
keys ranging from 512 bits to 2048 bits, and they MAY be able to
validate signatures with larger keys. Verifier policies may use the
length of the signing key as one metric for determining whether a
signature is acceptable.
Factors that should influence the key size choice include the
following:
o The practical constraint that large (e.g., 4096 bit) keys may not
fit within a 512-byte DNS UDP response packet
o The security constraint that keys smaller than 1024 bits are
subject to off-line attacks
o Larger keys impose higher CPU costs to verify and sign email
Allman, et al. Standards Track [Page 12]
^L
RFC 4871 DKIM Signatures May 2007
o Keys can be replaced on a regular basis, thus their lifetime can
be relatively short
o The security goals of this specification are modest compared to
typical goals of other systems that employ digital signatures
See [RFC3766] for further discussion on selecting key sizes.
3.3.4. Other Algorithms
Other algorithms MAY be defined in the future. Verifiers MUST ignore
any signatures using algorithms that they do not implement.
3.4. Canonicalization
Empirical evidence demonstrates that some mail servers and relay
systems modify email in transit, potentially invalidating a
signature. There are two competing perspectives on such
modifications. For most signers, mild modification of email is
immaterial to the authentication status of the email. For such
signers, a canonicalization algorithm that survives modest in-transit
modification is preferred.
Other signers demand that any modification of the email, however
minor, result in a signature verification failure. These signers
prefer a canonicalization algorithm that does not tolerate in-transit
modification of the signed email.
Some signers may be willing to accept modifications to header fields
that are within the bounds of email standards such as [RFC2822], but
are unwilling to accept any modification to the body of messages.
To satisfy all requirements, two canonicalization algorithms are
defined for each of the header and the body: a "simple" algorithm
that tolerates almost no modification and a "relaxed" algorithm that
tolerates common modifications such as whitespace replacement and
header field line rewrapping. A signer MAY specify either algorithm
for header or body when signing an email. If no canonicalization
algorithm is specified by the signer, the "simple" algorithm defaults
for both header and body. Verifiers MUST implement both
canonicalization algorithms. Note that the header and body may use
different canonicalization algorithms. Further canonicalization
algorithms MAY be defined in the future; verifiers MUST ignore any
signatures that use unrecognized canonicalization algorithms.
Canonicalization simply prepares the email for presentation to the
signing or verification algorithm. It MUST NOT change the
Allman, et al. Standards Track [Page 13]
^L
RFC 4871 DKIM Signatures May 2007
transmitted data in any way. Canonicalization of header fields and
body are described below.
NOTE: This section assumes that the message is already in "network
normal" format (text is ASCII encoded, lines are separated with CRLF
characters, etc.). See also Section 5.3 for information about
normalizing the message.
3.4.1. The "simple" Header Canonicalization Algorithm
The "simple" header canonicalization algorithm does not change header
fields in any way. Header fields MUST be presented to the signing or
verification algorithm exactly as they are in the message being
signed or verified. In particular, header field names MUST NOT be
case folded and whitespace MUST NOT be changed.
3.4.2. The "relaxed" Header Canonicalization Algorithm
The "relaxed" header canonicalization algorithm MUST apply the
following steps in order:
o Convert all header field names (not the header field values) to
lowercase. For example, convert "SUBJect: AbC" to "subject: AbC".
o Unfold all header field continuation lines as described in
[RFC2822]; in particular, lines with terminators embedded in
continued header field values (that is, CRLF sequences followed by
WSP) MUST be interpreted without the CRLF. Implementations MUST
NOT remove the CRLF at the end of the header field value.
o Convert all sequences of one or more WSP characters to a single SP
character. WSP characters here include those before and after a
line folding boundary.
o Delete all WSP characters at the end of each unfolded header field
value.
o Delete any WSP characters remaining before and after the colon
separating the header field name from the header field value. The
colon separator MUST be retained.
3.4.3. The "simple" Body Canonicalization Algorithm
The "simple" body canonicalization algorithm ignores all empty lines
at the end of the message body. An empty line is a line of zero
length after removal of the line terminator. If there is no body or
no trailing CRLF on the message body, a CRLF is added. It makes no
Allman, et al. Standards Track [Page 14]
^L
RFC 4871 DKIM Signatures May 2007
other changes to the message body. In more formal terms, the
"simple" body canonicalization algorithm converts "0*CRLF" at the end
of the body to a single "CRLF".
Note that a completely empty or missing body is canonicalized as a
single "CRLF"; that is, the canonicalized length will be 2 octets.
3.4.4. The "relaxed" Body Canonicalization Algorithm
The "relaxed" body canonicalization algorithm:
o Ignores all whitespace at the end of lines. Implementations MUST
NOT remove the CRLF at the end of the line.
o Reduces all sequences of WSP within a line to a single SP
character.
o Ignores all empty lines at the end of the message body. "Empty
line" is defined in Section 3.4.3.
INFORMATIVE NOTE: It should be noted that the relaxed body
canonicalization algorithm may enable certain types of extremely
crude "ASCII Art" attacks where a message may be conveyed by
adjusting the spacing between words. If this is a concern, the
"simple" body canonicalization algorithm should be used instead.
3.4.5. Body Length Limits
A body length count MAY be specified to limit the signature
calculation to an initial prefix of the body text, measured in
octets. If the body length count is not specified, the entire
message body is signed.
INFORMATIVE RATIONALE: This capability is provided because it is
very common for mailing lists to add trailers to messages (e.g.,
instructions how to get off the list). Until those messages are
also signed, the body length count is a useful tool for the
verifier since it may as a matter of policy accept messages having
valid signatures with extraneous data.
INFORMATIVE IMPLEMENTATION NOTE: Using body length limits enables
an attack in which an attacker modifies a message to include
content that solely benefits the attacker. It is possible for the
appended content to completely replace the original content in the
end recipient's eyes and to defeat duplicate message detection
algorithms. To avoid this attack, signers should be wary of using
Allman, et al. Standards Track [Page 15]
^L
RFC 4871 DKIM Signatures May 2007
this tag, and verifiers might wish to ignore the tag or remove
text that appears after the specified content length, perhaps
based on other criteria.
The body length count allows the signer of a message to permit data
to be appended to the end of the body of a signed message. The body
length count MUST be calculated following the canonicalization
algorithm; for example, any whitespace ignored by a canonicalization
algorithm is not included as part of the body length count. Signers
of MIME messages that include a body length count SHOULD be sure that
the length extends to the closing MIME boundary string.
INFORMATIVE IMPLEMENTATION NOTE: A signer wishing to ensure that
the only acceptable modifications are to add to the MIME postlude
would use a body length count encompassing the entire final MIME
boundary string, including the final "--CRLF". A signer wishing
to allow additional MIME parts but not modification of existing
parts would use a body length count extending through the final
MIME boundary string, omitting the final "--CRLF". Note that this
only works for some MIME types, e.g., multipart/mixed but not
multipart/signed.
A body length count of zero means that the body is completely
unsigned.
Signers wishing to ensure that no modification of any sort can occur
should specify the "simple" canonicalization algorithm for both
header and body and omit the body length count.
3.4.6. Canonicalization Examples (INFORMATIVE)
In the following examples, actual whitespace is used only for
clarity. The actual input and output text is designated using
bracketed descriptors: "<SP>" for a space character, "<HTAB>" for a
tab character, and "<CRLF>" for a carriage-return/line-feed sequence.
For example, "X <SP> Y" and "X<SP>Y" represent the same three
characters.
Example 1: A message reading:
A: <SP> X <CRLF>
B <SP> : <SP> Y <HTAB><CRLF>
<HTAB> Z <SP><SP><CRLF>
<CRLF>
<SP> C <SP><CRLF>
D <SP><HTAB><SP> E <CRLF>
<CRLF>
<CRLF>
Allman, et al. Standards Track [Page 16]
^L
RFC 4871 DKIM Signatures May 2007
when canonicalized using relaxed canonicalization for both header and
body results in a header reading:
a:X <CRLF>
b:Y <SP> Z <CRLF>
and a body reading:
<SP> C <CRLF>
D <SP> E <CRLF>
Example 2: The same message canonicalized using simple
canonicalization for both header and body results in a header
reading:
A: <SP> X <CRLF>
B <SP> : <SP> Y <HTAB><CRLF>
<HTAB> Z <SP><SP><CRLF>
and a body reading:
<SP> C <SP><CRLF>
D <SP><HTAB><SP> E <CRLF>
Example 3: When processed using relaxed header canonicalization and
simple body canonicalization, the canonicalized version has a header
of:
a:X <CRLF>
b:Y <SP> Z <CRLF>
and a body reading:
<SP> C <SP><CRLF>
D <SP><HTAB><SP> E <CRLF>
3.5. The DKIM-Signature Header Field
The signature of the email is stored in the DKIM-Signature header
field. This header field contains all of the signature and key-
fetching data. The DKIM-Signature value is a tag-list as described
in Section 3.2.
The DKIM-Signature header field SHOULD be treated as though it were a
trace header field as defined in Section 3.6 of [RFC2822], and hence
SHOULD NOT be reordered and SHOULD be prepended to the message.
Allman, et al. Standards Track [Page 17]
^L
RFC 4871 DKIM Signatures May 2007
The DKIM-Signature header field being created or verified is always
included in the signature calculation, after the rest of the header
fields being signed; however, when calculating or verifying the
signature, the value of the "b=" tag (signature value) of that DKIM-
Signature header field MUST be treated as though it were an empty
string. Unknown tags in the DKIM-Signature header field MUST be
included in the signature calculation but MUST be otherwise ignored
by verifiers. Other DKIM-Signature header fields that are included
in the signature should be treated as normal header fields; in
particular, the "b=" tag is not treated specially.
The encodings for each field type are listed below. Tags described
as qp-section are encoded as described in Section 6.7 of MIME Part
One [RFC2045], with the additional conversion of semicolon characters
to "=3B"; intuitively, this is one line of quoted-printable encoded
text. The dkim-quoted-printable syntax is defined in Section 2.6.
Tags on the DKIM-Signature header field along with their type and
requirement status are shown below. Unrecognized tags MUST be
ignored.
v= Version (MUST be included). This tag defines the version of this
specification that applies to the signature record. It MUST have
the value "1". Note that verifiers must do a string comparison
on this value; for example, "1" is not the same as "1.0".
ABNF:
sig-v-tag = %x76 [FWS] "=" [FWS] "1"
INFORMATIVE NOTE: DKIM-Signature version numbers are expected
to increase arithmetically as new versions of this
specification are released.
a= The algorithm used to generate the signature (plain-text;
REQUIRED). Verifiers MUST support "rsa-sha1" and "rsa-sha256";
signers SHOULD sign using "rsa-sha256". See Section 3.3 for a
description of algorithms.
ABNF:
sig-a-tag = %x61 [FWS] "=" [FWS] sig-a-tag-alg
sig-a-tag-alg = sig-a-tag-k "-" sig-a-tag-h
sig-a-tag-k = "rsa" / x-sig-a-tag-k
sig-a-tag-h = "sha1" / "sha256" / x-sig-a-tag-h
x-sig-a-tag-k = ALPHA *(ALPHA / DIGIT) ; for later extension
x-sig-a-tag-h = ALPHA *(ALPHA / DIGIT) ; for later extension
Allman, et al. Standards Track [Page 18]
^L
RFC 4871 DKIM Signatures May 2007
b= The signature data (base64; REQUIRED). Whitespace is ignored in
this value and MUST be ignored when reassembling the original
signature. In particular, the signing process can safely insert
FWS in this value in arbitrary places to conform to line-length
limits. See Signer Actions (Section 5) for how the signature is
computed.
ABNF:
sig-b-tag = %x62 [FWS] "=" [FWS] sig-b-tag-data
sig-b-tag-data = base64string
bh= The hash of the canonicalized body part of the message as limited
by the "l=" tag (base64; REQUIRED). Whitespace is ignored in
this value and MUST be ignored when reassembling the original
signature. In particular, the signing process can safely insert
FWS in this value in arbitrary places to conform to line-length
limits. See Section 3.7 for how the body hash is computed.
ABNF:
sig-bh-tag = %x62 %x68 [FWS] "=" [FWS] sig-bh-tag-data
sig-bh-tag-data = base64string
c= Message canonicalization (plain-text; OPTIONAL, default is
"simple/simple"). This tag informs the verifier of the type of
canonicalization used to prepare the message for signing. It
consists of two names separated by a "slash" (%d47) character,
corresponding to the header and body canonicalization algorithms
respectively. These algorithms are described in Section 3.4. If
only one algorithm is named, that algorithm is used for the
header and "simple" is used for the body. For example,
"c=relaxed" is treated the same as "c=relaxed/simple".
ABNF:
sig-c-tag = %x63 [FWS] "=" [FWS] sig-c-tag-alg
["/" sig-c-tag-alg]
sig-c-tag-alg = "simple" / "relaxed" / x-sig-c-tag-alg
x-sig-c-tag-alg = hyphenated-word ; for later extension
d= The domain of the signing entity (plain-text; REQUIRED). This is
the domain that will be queried for the public key. This domain
MUST be the same as or a parent domain of the "i=" tag (the
signing identity, as described below), or it MUST meet the
requirements for parent domain signing described in Section 3.8.
When presented with a signature that does not meet these
requirement, verifiers MUST consider the signature invalid.
Allman, et al. Standards Track [Page 19]
^L
RFC 4871 DKIM Signatures May 2007
Internationalized domain names MUST be encoded as described in
[RFC3490].
ABNF:
sig-d-tag = %x64 [FWS] "=" [FWS] domain-name
domain-name = sub-domain 1*("." sub-domain)
; from RFC 2821 Domain, but excluding address-literal
h= Signed header fields (plain-text, but see description; REQUIRED).
A colon-separated list of header field names that identify the
header fields presented to the signing algorithm. The field MUST
contain the complete list of header fields in the order presented
to the signing algorithm. The field MAY contain names of header
fields that do not exist when signed; nonexistent header fields
do not contribute to the signature computation (that is, they are
treated as the null input, including the header field name, the
separating colon, the header field value, and any CRLF
terminator). The field MUST NOT include the DKIM-Signature
header field that is being created or verified, but may include
others. Folding whitespace (FWS) MAY be included on either side
of the colon separator. Header field names MUST be compared
against actual header field names in a case-insensitive manner.
This list MUST NOT be empty. See Section 5.4 for a discussion of
choosing header fields to sign.
ABNF:
sig-h-tag = %x68 [FWS] "=" [FWS] hdr-name
0*( *FWS ":" *FWS hdr-name )
hdr-name = field-name
INFORMATIVE EXPLANATION: By "signing" header fields that do not
actually exist, a signer can prevent insertion of those
header fields before verification. However, since a signer
cannot possibly know what header fields might be created in
the future, and that some MUAs might present header fields
that are embedded inside a message (e.g., as a message/rfc822
content type), the security of this solution is not total.
INFORMATIVE EXPLANATION: The exclusion of the header field name
and colon as well as the header field value for non-existent
header fields prevents an attacker from inserting an actual
header field with a null value.
Allman, et al. Standards Track [Page 20]
^L
RFC 4871 DKIM Signatures May 2007
i= Identity of the user or agent (e.g., a mailing list manager) on
behalf of which this message is signed (dkim-quoted-printable;
OPTIONAL, default is an empty Local-part followed by an "@"
followed by the domain from the "d=" tag). The syntax is a
standard email address where the Local-part MAY be omitted. The
domain part of the address MUST be the same as or a subdomain of
the value of the "d=" tag.
Internationalized domain names MUST be converted using the steps
listed in Section 4 of [RFC3490] using the "ToASCII" function.
ABNF:
sig-i-tag = %x69 [FWS] "=" [FWS] [ Local-part ] "@" domain-name
INFORMATIVE NOTE: The Local-part of the "i=" tag is optional
because in some cases a signer may not be able to establish a
verified individual identity. In such cases, the signer may
wish to assert that although it is willing to go as far as
signing for the domain, it is unable or unwilling to commit
to an individual user name within their domain. It can do so
by including the domain part but not the Local-part of the
identity.
INFORMATIVE DISCUSSION: This document does not require the value
of the "i=" tag to match the identity in any message header
fields. This is considered to be a verifier policy issue.
Constraints between the value of the "i=" tag and other
identities in other header fields seek to apply basic
authentication into the semantics of trust associated with a
role such as content author. Trust is a broad and complex
topic and trust mechanisms are subject to highly creative
attacks. The real-world efficacy of any but the most basic
bindings between the "i=" value and other identities is not
well established, nor is its vulnerability to subversion by
an attacker. Hence reliance on the use of these options
should be strictly limited. In particular, it is not at all
clear to what extent a typical end-user recipient can rely on
any assurances that might be made by successful use of the
"i=" options.
l= Body length count (plain-text unsigned decimal integer; OPTIONAL,
default is entire body). This tag informs the verifier of the
number of octets in the body of the email after canonicalization
included in the cryptographic hash, starting from 0 immediately
following the CRLF preceding the body. This value MUST NOT be
larger than the actual number of octets in the canonicalized
message body.
Allman, et al. Standards Track [Page 21]
^L
RFC 4871 DKIM Signatures May 2007
INFORMATIVE IMPLEMENTATION WARNING: Use of the "l=" tag might
allow display of fraudulent content without appropriate
warning to end users. The "l=" tag is intended for
increasing signature robustness when sending to mailing lists
that both modify their content and do not sign their
messages. However, using the "l=" tag enables attacks in
which an intermediary with malicious intent modifies a
message to include content that solely benefits the attacker.
It is possible for the appended content to completely replace
the original content in the end recipient's eyes and to
defeat duplicate message detection algorithms. Examples are
described in Security Considerations (Section 8). To avoid
this attack, signers should be extremely wary of using this
tag, and verifiers might wish to ignore the tag or remove
text that appears after the specified content length.
INFORMATIVE NOTE: The value of the "l=" tag is constrained to 76
decimal digits. This constraint is not intended to predict
the size of future messages or to require implementations to
use an integer representation large enough to represent the
maximum possible value, but is intended to remind the
implementer to check the length of this and all other tags
during verification and to test for integer overflow when
decoding the value. Implementers may need to limit the
actual value expressed to a value smaller than 10^76, e.g.,
to allow a message to fit within the available storage space.
ABNF:
sig-l-tag = %x6c [FWS] "=" [FWS] 1*76DIGIT
q= A colon-separated list of query methods used to retrieve the
public key (plain-text; OPTIONAL, default is "dns/txt"). Each
query method is of the form "type[/options]", where the syntax
and semantics of the options depend on the type and specified
options. If there are multiple query mechanisms listed, the
choice of query mechanism MUST NOT change the interpretation of
the signature. Implementations MUST use the recognized query
mechanisms in the order presented.
Currently, the only valid value is "dns/txt", which defines the DNS
TXT record lookup algorithm described elsewhere in this document.
The only option defined for the "dns" query type is "txt", which
MUST be included. Verifiers and signers MUST support "dns/txt".
Allman, et al. Standards Track [Page 22]
^L
RFC 4871 DKIM Signatures May 2007
ABNF:
sig-q-tag = %x71 [FWS] "=" [FWS] sig-q-tag-method
*([FWS] ":" [FWS] sig-q-tag-method)
sig-q-tag-method = "dns/txt" / x-sig-q-tag-type
["/" x-sig-q-tag-args]
x-sig-q-tag-type = hyphenated-word ; for future extension
x-sig-q-tag-args = qp-hdr-value
s= The selector subdividing the namespace for the "d=" (domain) tag
(plain-text; REQUIRED).
ABNF:
sig-s-tag = %x73 [FWS] "=" [FWS] selector
t= Signature Timestamp (plain-text unsigned decimal integer;
RECOMMENDED, default is an unknown creation time). The time that
this signature was created. The format is the number of seconds
since 00:00:00 on January 1, 1970 in the UTC time zone. The
value is expressed as an unsigned integer in decimal ASCII. This
value is not constrained to fit into a 31- or 32-bit integer.
Implementations SHOULD be prepared to handle values up to at
least 10^12 (until approximately AD 200,000; this fits into 40
bits). To avoid denial-of-service attacks, implementations MAY
consider any value longer than 12 digits to be infinite. Leap
seconds are not counted. Implementations MAY ignore signatures
that have a timestamp in the future.
ABNF:
sig-t-tag = %x74 [FWS] "=" [FWS] 1*12DIGIT
x= Signature Expiration (plain-text unsigned decimal integer;
RECOMMENDED, default is no expiration). The format is the same
as in the "t=" tag, represented as an absolute date, not as a
time delta from the signing timestamp. The value is expressed as
an unsigned integer in decimal ASCII, with the same constraints
on the value in the "t=" tag. Signatures MAY be considered
invalid if the verification time at the verifier is past the
expiration date. The verification time should be the time that
the message was first received at the administrative domain of
the verifier if that time is reliably available; otherwise the
current time should be used. The value of the "x=" tag MUST be
greater than the value of the "t=" tag if both are present.
Allman, et al. Standards Track [Page 23]
^L
RFC 4871 DKIM Signatures May 2007
INFORMATIVE NOTE: The "x=" tag is not intended as an anti-replay
defense.
ABNF:
sig-x-tag = %x78 [FWS] "=" [FWS] 1*12DIGIT
z= Copied header fields (dkim-quoted-printable, but see description;
OPTIONAL, default is null). A vertical-bar-separated list of
selected header fields present when the message was signed,
including both the field name and value. It is not required to
include all header fields present at the time of signing. This
field need not contain the same header fields listed in the "h="
tag. The header field text itself must encode the vertical bar
("|", %x7C) character (i.e., vertical bars in the "z=" text are
metacharacters, and any actual vertical bar characters in a
copied header field must be encoded). Note that all whitespace
must be encoded, including whitespace between the colon and the
header field value. After encoding, FWS MAY be added at
arbitrary locations in order to avoid excessively long lines;
such whitespace is NOT part of the value of the header field, and
MUST be removed before decoding.
The header fields referenced by the "h=" tag refer to the fields in
the RFC 2822 header of the message, not to any copied fields in
the "z=" tag. Copied header field values are for diagnostic use.
Header fields with characters requiring conversion (perhaps from
legacy MTAs that are not [RFC2822] compliant) SHOULD be converted
as described in MIME Part Three [RFC2047].
ABNF:
sig-z-tag = %x7A [FWS] "=" [FWS] sig-z-tag-copy
*( [FWS] "|" sig-z-tag-copy )
sig-z-tag-copy = hdr-name ":" qp-hdr-value
qp-hdr-value = dkim-quoted-printable ; with "|" encoded
INFORMATIVE EXAMPLE of a signature header field spread across
multiple continuation lines:
Allman, et al. Standards Track [Page 24]
^L
RFC 4871 DKIM Signatures May 2007
DKIM-Signature: a=rsa-sha256; d=example.net; s=brisbane;
c=simple; q=dns/txt; i=@eng.example.net;
t=1117574938; x=1118006938;
h=from:to:subject:date;
z=From:foo@eng.example.net|To:joe@example.com|
Subject:demo=20run|Date:July=205,=202005=203:44:08=20PM=20-0700;
bh=MTIzNDU2Nzg5MDEyMzQ1Njc4OTAxMjM0NTY3ODkwMTI=;
b=dzdVyOfAKCdLXdJOc9G2q8LoXSlEniSbav+yuU4zGeeruD00lszZ
VoG4ZHRNiYzR
3.6. Key Management and Representation
Signature applications require some level of assurance that the
verification public key is associated with the claimed signer. Many
applications achieve this by using public key certificates issued by
a trusted third party. However, DKIM can achieve a sufficient level
of security, with significantly enhanced scalability, by simply
having the verifier query the purported signer's DNS entry (or some
security-equivalent) in order to retrieve the public key.
DKIM keys can potentially be stored in multiple types of key servers
and in multiple formats. The storage and format of keys are
irrelevant to the remainder of the DKIM algorithm.
Parameters to the key lookup algorithm are the type of the lookup
(the "q=" tag), the domain of the signer (the "d=" tag of the DKIM-
Signature header field), and the selector (the "s=" tag).
public_key = dkim_find_key(q_val, d_val, s_val)
This document defines a single binding, using DNS TXT records to
distribute the keys. Other bindings may be defined in the future.
3.6.1. Textual Representation
It is expected that many key servers will choose to present the keys
in an otherwise unstructured text format (for example, an XML form
would not be considered to be unstructured text for this purpose).
The following definition MUST be used for any DKIM key represented in
an otherwise unstructured textual form.
The overall syntax is a tag-list as described in Section 3.2. The
current valid tags are described below. Other tags MAY be present
and MUST be ignored by any implementation that does not understand
them.
Allman, et al. Standards Track [Page 25]
^L
RFC 4871 DKIM Signatures May 2007
v= Version of the DKIM key record (plain-text; RECOMMENDED, default
is "DKIM1"). If specified, this tag MUST be set to "DKIM1"
(without the quotes). This tag MUST be the first tag in the
record. Records beginning with a "v=" tag with any other value
MUST be discarded. Note that verifiers must do a string
comparison on this value; for example, "DKIM1" is not the same as
"DKIM1.0".
ABNF:
key-v-tag = %x76 [FWS] "=" [FWS] "DKIM1"
g= Granularity of the key (plain-text; OPTIONAL, default is "*").
This value MUST match the Local-part of the "i=" tag of the DKIM-
Signature header field (or its default value of the empty string
if "i=" is not specified), with a single, optional "*" character
matching a sequence of zero or more arbitrary characters
("wildcarding"). An email with a signing address that does not
match the value of this tag constitutes a failed verification.
The intent of this tag is to constrain which signing address can
legitimately use this selector, for example, when delegating a
key to a third party that should only be used for special
purposes. Wildcarding allows matching for addresses such as
"user+*" or "*-offer". An empty "g=" value never matches any
addresses.
ABNF:
key-g-tag = %x67 [FWS] "=" [FWS] key-g-tag-lpart
key-g-tag-lpart = [dot-atom-text] ["*" [dot-atom-text] ]
h= Acceptable hash algorithms (plain-text; OPTIONAL, defaults to
allowing all algorithms). A colon-separated list of hash
algorithms that might be used. Signers and Verifiers MUST
support the "sha256" hash algorithm. Verifiers MUST also support
the "sha1" hash algorithm.
ABNF:
key-h-tag = %x68 [FWS] "=" [FWS] key-h-tag-alg
0*( [FWS] ":" [FWS] key-h-tag-alg )
key-h-tag-alg = "sha1" / "sha256" / x-key-h-tag-alg
x-key-h-tag-alg = hyphenated-word ; for future extension
Allman, et al. Standards Track [Page 26]
^L
RFC 4871 DKIM Signatures May 2007
k= Key type (plain-text; OPTIONAL, default is "rsa"). Signers and
verifiers MUST support the "rsa" key type. The "rsa" key type
indicates that an ASN.1 DER-encoded [ITU.X660.1997] RSAPublicKey
[RFC3447] (see Sections 3.1 and A.1.1) is being used in the "p="
tag. (Note: the "p=" tag further encodes the value using the
base64 algorithm.)
ABNF:
key-k-tag = %x76 [FWS] "=" [FWS] key-k-tag-type
key-k-tag-type = "rsa" / x-key-k-tag-type
x-key-k-tag-type = hyphenated-word ; for future extension
n= Notes that might be of interest to a human (qp-section; OPTIONAL,
default is empty). No interpretation is made by any program.
This tag should be used sparingly in any key server mechanism
that has space limitations (notably DNS). This is intended for
use by administrators, not end users.
ABNF:
key-n-tag = %x6e [FWS] "=" [FWS] qp-section
p= Public-key data (base64; REQUIRED). An empty value means that
this public key has been revoked. The syntax and semantics of
this tag value before being encoded in base64 are defined by the
"k=" tag.
INFORMATIVE RATIONALE: If a private key has been compromised
or otherwise disabled (e.g., an outsourcing contract has been
terminated), a signer might want to explicitly state that it
knows about the selector, but all messages using that
selector should fail verification. Verifiers should ignore
any DKIM-Signature header fields with a selector referencing
a revoked key.
ABNF:
key-p-tag = %x70 [FWS] "=" [ [FWS] base64string ]
INFORMATIVE NOTE: A base64string is permitted to include white
space (FWS) at arbitrary places; however, any CRLFs must be
followed by at least one WSP character. Implementors and
administrators are cautioned to ensure that selector TXT
records conform to this specification.
Allman, et al. Standards Track [Page 27]
^L
RFC 4871 DKIM Signatures May 2007
s= Service Type (plain-text; OPTIONAL; default is "*"). A colon-
separated list of service types to which this record applies.
Verifiers for a given service type MUST ignore this record if the
appropriate type is not listed. Currently defined service types
are as follows:
* matches all service types
email electronic mail (not necessarily limited to SMTP)
This tag is intended to constrain the use of keys for other
purposes, should use of DKIM be defined by other services in the
future.
ABNF:
key-s-tag = %x73 [FWS] "=" [FWS] key-s-tag-type
0*( [FWS] ":" [FWS] key-s-tag-type )
key-s-tag-type = "email" / "*" / x-key-s-tag-type
x-key-s-tag-type = hyphenated-word ; for future extension
t= Flags, represented as a colon-separated list of names (plain-
text; OPTIONAL, default is no flags set). The defined flags are
as follows:
y This domain is testing DKIM. Verifiers MUST NOT treat
messages from signers in testing mode differently from
unsigned email, even should the signature fail to verify.
Verifiers MAY wish to track testing mode results to assist
the signer.
s Any DKIM-Signature header fields using the "i=" tag MUST have
the same domain value on the right-hand side of the "@" in
the "i=" tag and the value of the "d=" tag. That is, the
"i=" domain MUST NOT be a subdomain of "d=". Use of this
flag is RECOMMENDED unless subdomaining is required.
ABNF:
key-t-tag = %x74 [FWS] "=" [FWS] key-t-tag-flag
0*( [FWS] ":" [FWS] key-t-tag-flag )
key-t-tag-flag = "y" / "s" / x-key-t-tag-flag
x-key-t-tag-flag = hyphenated-word ; for future extension
Unrecognized flags MUST be ignored.
Allman, et al. Standards Track [Page 28]
^L
RFC 4871 DKIM Signatures May 2007
3.6.2. DNS Binding
A binding using DNS TXT records as a key service is hereby defined.
All implementations MUST support this binding.
3.6.2.1. Namespace
All DKIM keys are stored in a subdomain named "_domainkey". Given a
DKIM-Signature field with a "d=" tag of "example.com" and an "s=" tag
of "foo.bar", the DNS query will be for
"foo.bar._domainkey.example.com".
INFORMATIVE OPERATIONAL NOTE: Wildcard DNS records (e.g.,
*.bar._domainkey.example.com) do not make sense in this context
and should not be used. Note also that wildcards within domains
(e.g., s._domainkey.*.example.com) are not supported by the DNS.
3.6.2.2. Resource Record Types for Key Storage
The DNS Resource Record type used is specified by an option to the
query-type ("q=") tag. The only option defined in this base
specification is "txt", indicating the use of a TXT Resource Record
(RR). A later extension of this standard may define another RR type.
Strings in a TXT RR MUST be concatenated together before use with no
intervening whitespace. TXT RRs MUST be unique for a particular
selector name; that is, if there are multiple records in an RRset,
the results are undefined.
TXT RRs are encoded as described in Section 3.6.1.
3.7. Computing the Message Hashes
Both signing and verifying message signatures start with a step of
computing two cryptographic hashes over the message. Signers will
choose the parameters of the signature as described in Signer Actions
(Section 5); verifiers will use the parameters specified in the DKIM-
Signature header field being verified. In the following discussion,
the names of the tags in the DKIM-Signature header field that either
exists (when verifying) or will be created (when signing) are used.
Note that canonicalization (Section 3.4) is only used to prepare the
email for signing or verifying; it does not affect the transmitted
email in any way.
The signer/verifier MUST compute two hashes, one over the body of the
message and one over the selected header fields of the message.
Allman, et al. Standards Track [Page 29]
^L
RFC 4871 DKIM Signatures May 2007
Signers MUST compute them in the order shown. Verifiers MAY compute
them in any order convenient to the verifier, provided that the
result is semantically identical to the semantics that would be the
case had they been computed in this order.
In hash step 1, the signer/verifier MUST hash the message body,
canonicalized using the body canonicalization algorithm specified in
the "c=" tag and then truncated to the length specified in the "l="
tag. That hash value is then converted to base64 form and inserted
into (signers) or compared to (verifiers) the "bh=" tag of the DKIM-
Signature header field.
In hash step 2, the signer/verifier MUST pass the following to the
hash algorithm in the indicated order.
1. The header fields specified by the "h=" tag, in the order
specified in that tag, and canonicalized using the header
canonicalization algorithm specified in the "c=" tag. Each
header field MUST be terminated with a single CRLF.
2. The DKIM-Signature header field that exists (verifying) or will
be inserted (signing) in the message, with the value of the "b="
tag deleted (i.e., treated as the empty string), canonicalized
using the header canonicalization algorithm specified in the "c="
tag, and without a trailing CRLF.
All tags and their values in the DKIM-Signature header field are
included in the cryptographic hash with the sole exception of the
value portion of the "b=" (signature) tag, which MUST be treated as
the null string. All tags MUST be included even if they might not be
understood by the verifier. The header field MUST be presented to
the hash algorithm after the body of the message rather than with the
rest of the header fields and MUST be canonicalized as specified in
the "c=" (canonicalization) tag. The DKIM-Signature header field
MUST NOT be included in its own h= tag, although other DKIM-Signature
header fields MAY be signed (see Section 4).
When calculating the hash on messages that will be transmitted using
base64 or quoted-printable encoding, signers MUST compute the hash
after the encoding. Likewise, the verifier MUST incorporate the
values into the hash before decoding the base64 or quoted-printable
text. However, the hash MUST be computed before transport level
encodings such as SMTP "dot-stuffing" (the modification of lines
beginning with a "." to avoid confusion with the SMTP end-of-message
marker, as specified in [RFC2821]).
With the exception of the canonicalization procedure described in
Section 3.4, the DKIM signing process treats the body of messages as
Allman, et al. Standards Track [Page 30]
^L
RFC 4871 DKIM Signatures May 2007
simply a string of octets. DKIM messages MAY be either in plain-text
or in MIME format; no special treatment is afforded to MIME content.
Message attachments in MIME format MUST be included in the content
that is signed.
More formally, the algorithm for the signature is as follows:
body-hash = hash-alg(canon_body)
header-hash = hash-alg(canon_header || DKIM-SIG)
signature = sig-alg(header-hash, key)
where "sig-alg" is the signature algorithm specified by the "a=" tag,
"hash-alg" is the hash algorithm specified by the "a=" tag,
"canon_header" and "canon_body" are the canonicalized message header
and body (respectively) as defined in Section 3.4 (excluding the
DKIM-Signature header field), and "DKIM-SIG" is the canonicalized
DKIM-Signature header field sans the signature value itself, but with
"body-hash" included as the "bh=" tag.
INFORMATIVE IMPLEMENTERS' NOTE: Many digital signature APIs
provide both hashing and application of the RSA private key using
a single "sign()" primitive. When using such an API, the last two
steps in the algorithm would probably be combined into a single
call that would perform both the "hash-alg" and the "sig-alg".
3.8. Signing by Parent Domains
In some circumstances, it is desirable for a domain to apply a
signature on behalf of any of its subdomains without the need to
maintain separate selectors (key records) in each subdomain. By
default, private keys corresponding to key records can be used to
sign messages for any subdomain of the domain in which they reside;
e.g., a key record for the domain example.com can be used to verify
messages where the signing identity ("i=" tag of the signature) is
sub.example.com, or even sub1.sub2.example.com. In order to limit
the capability of such keys when this is not intended, the "s" flag
may be set in the "t=" tag of the key record to constrain the
validity of the record to exactly the domain of the signing identity.
If the referenced key record contains the "s" flag as part of the
"t=" tag, the domain of the signing identity ("i=" flag) MUST be the
same as that of the d= domain. If this flag is absent, the domain of
the signing identity MUST be the same as, or a subdomain of, the d=
domain. Key records that are not intended for use with subdomains
SHOULD specify the "s" flag in the "t=" tag.
Allman, et al. Standards Track [Page 31]
^L
RFC 4871 DKIM Signatures May 2007
4. Semantics of Multiple Signatures
4.1. Example Scenarios
There are many reasons why a message might have multiple signatures.
For example, a given signer might sign multiple times, perhaps with
different hashing or signing algorithms during a transition phase.
INFORMATIVE EXAMPLE: Suppose SHA-256 is in the future found to be
insufficiently strong, and DKIM usage transitions to SHA-1024. A
signer might immediately sign using the newer algorithm, but
continue to sign using the older algorithm for interoperability
with verifiers that had not yet upgraded. The signer would do
this by adding two DKIM-Signature header fields, one using each
algorithm. Older verifiers that did not recognize SHA-1024 as an
acceptable algorithm would skip that signature and use the older
algorithm; newer verifiers could use either signature at their
option, and all other things being equal might not even attempt to
verify the other signature.
Similarly, a signer might sign a message including all headers and no
"l=" tag (to satisfy strict verifiers) and a second time with a
limited set of headers and an "l=" tag (in anticipation of possible
message modifications in route to other verifiers). Verifiers could
then choose which signature they preferred.
INFORMATIVE EXAMPLE: A verifier might receive a message with two
signatures, one covering more of the message than the other. If
the signature covering more of the message verified, then the
verifier could make one set of policy decisions; if that signature
failed but the signature covering less of the message verified,
the verifier might make a different set of policy decisions.
Of course, a message might also have multiple signatures because it
passed through multiple signers. A common case is expected to be
that of a signed message that passes through a mailing list that also
signs all messages. Assuming both of those signatures verify, a
recipient might choose to accept the message if either of those
signatures were known to come from trusted sources.
INFORMATIVE EXAMPLE: Recipients might choose to whitelist mailing
lists to which they have subscribed and that have acceptable anti-
abuse policies so as to accept messages sent to that list even
from unknown authors. They might also subscribe to less trusted
mailing lists (e.g., those without anti-abuse protection) and be
willing to accept all messages from specific authors, but insist
on doing additional abuse scanning for other messages.
Allman, et al. Standards Track [Page 32]
^L
RFC 4871 DKIM Signatures May 2007
Another related example of multiple signers might be forwarding
services, such as those commonly associated with academic alumni
sites.
INFORMATIVE EXAMPLE: A recipient might have an address at
members.example.org, a site that has anti-abuse protection that is
somewhat less effective than the recipient would prefer. Such a
recipient might have specific authors whose messages would be
trusted absolutely, but messages from unknown authors that had
passed the forwarder's scrutiny would have only medium trust.
4.2. Interpretation
A signer that is adding a signature to a message merely creates a new
DKIM-Signature header, using the usual semantics of the h= option. A
signer MAY sign previously existing DKIM-Signature header fields
using the method described in Section 5.4 to sign trace header
fields.
INFORMATIVE NOTE: Signers should be cognizant that signing DKIM-
Signature header fields may result in signature failures with
intermediaries that do not recognize that DKIM-Signature header
fields are trace header fields and unwittingly reorder them, thus
breaking such signatures. For this reason, signing existing DKIM-
Signature header fields is unadvised, albeit legal.
INFORMATIVE NOTE: If a header field with multiple instances is
signed, those header fields are always signed from the bottom up.
Thus, it is not possible to sign only specific DKIM-Signature
header fields. For example, if the message being signed already
contains three DKIM-Signature header fields A, B, and C, it is
possible to sign all of them, B and C only, or C only, but not A
only, B only, A and B only, or A and C only.
A signer MAY add more than one DKIM-Signature header field using
different parameters. For example, during a transition period a
signer might want to produce signatures using two different hash
algorithms.
Signers SHOULD NOT remove any DKIM-Signature header fields from
messages they are signing, even if they know that the signatures
cannot be verified.
When evaluating a message with multiple signatures, a verifier SHOULD
evaluate signatures independently and on their own merits. For
example, a verifier that by policy chooses not to accept signatures
with deprecated cryptographic algorithms would consider such
signatures invalid. Verifiers MAY process signatures in any order of
Allman, et al. Standards Track [Page 33]
^L
RFC 4871 DKIM Signatures May 2007
their choice; for example, some verifiers might choose to process
signatures corresponding to the From field in the message header
before other signatures. See Section 6.1 for more information about
signature choices.
INFORMATIVE IMPLEMENTATION NOTE: Verifier attempts to correlate
valid signatures with invalid signatures in an attempt to guess
why a signature failed are ill-advised. In particular, there is
no general way that a verifier can determine that an invalid
signature was ever valid.
Verifiers SHOULD ignore failed signatures as though they were not
present in the message. Verifiers SHOULD continue to check
signatures until a signature successfully verifies to the
satisfaction of the verifier. To limit potential denial-of-service
attacks, verifiers MAY limit the total number of signatures they will
attempt to verify.
5. Signer Actions
The following steps are performed in order by signers.
5.1. Determine Whether the Email Should Be Signed and by Whom
A signer can obviously only sign email for domains for which it has a
private key and the necessary knowledge of the corresponding public
key and selector information. However, there are a number of other
reasons beyond the lack of a private key why a signer could choose
not to sign an email.
INFORMATIVE NOTE: Signing modules may be incorporated into any
portion of the mail system as deemed appropriate, including an
MUA, a SUBMISSION server, or an MTA. Wherever implemented,
signers should beware of signing (and thereby asserting
responsibility for) messages that may be problematic. In
particular, within a trusted enclave the signing address might be
derived from the header according to local policy; SUBMISSION
servers might only sign messages from users that are properly
authenticated and authorized.
INFORMATIVE IMPLEMENTER ADVICE: SUBMISSION servers should not sign
Received header fields if the outgoing gateway MTA obfuscates
Received header fields, for example, to hide the details of
internal topology.
If an email cannot be signed for some reason, it is a local policy
decision as to what to do with that email.
Allman, et al. Standards Track [Page 34]
^L
RFC 4871 DKIM Signatures May 2007
5.2. Select a Private Key and Corresponding Selector Information
This specification does not define the basis by which a signer should
choose which private key and selector information to use. Currently,
all selectors are equal as far as this specification is concerned, so
the decision should largely be a matter of administrative
convenience. Distribution and management of private keys is also
outside the scope of this document.
INFORMATIVE OPERATIONS ADVICE: A signer should not sign with a
private key when the selector containing the corresponding public
key is expected to be revoked or removed before the verifier has
an opportunity to validate the signature. The signer should
anticipate that verifiers may choose to defer validation, perhaps
until the message is actually read by the final recipient. In
particular, when rotating to a new key pair, signing should
immediately commence with the new private key and the old public
key should be retained for a reasonable validation interval before
being removed from the key server.
5.3. Normalize the Message to Prevent Transport Conversions
Some messages, particularly those using 8-bit characters, are subject
to modification during transit, notably conversion to 7-bit form.
Such conversions will break DKIM signatures. In order to minimize
the chances of such breakage, signers SHOULD convert the message to a
suitable MIME content transfer encoding such as quoted-printable or
base64 as described in MIME Part One [RFC2045] before signing. Such
conversion is outside the scope of DKIM; the actual message SHOULD be
converted to 7-bit MIME by an MUA or MSA prior to presentation to the
DKIM algorithm.
If the message is submitted to the signer with any local encoding
that will be modified before transmission, that modification to
canonical [RFC2822] form MUST be done before signing. In particular,
bare CR or LF characters (used by some systems as a local line
separator convention) MUST be converted to the SMTP-standard CRLF
sequence before the message is signed. Any conversion of this sort
SHOULD be applied to the message actually sent to the recipient(s),
not just to the version presented to the signing algorithm.
More generally, the signer MUST sign the message as it is expected to
be received by the verifier rather than in some local or internal
form.
Allman, et al. Standards Track [Page 35]
^L
RFC 4871 DKIM Signatures May 2007
5.4. Determine the Header Fields to Sign
The From header field MUST be signed (that is, included in the "h="
tag of the resulting DKIM-Signature header field). Signers SHOULD
NOT sign an existing header field likely to be legitimately modified
or removed in transit. In particular, [RFC2821] explicitly permits
modification or removal of the Return-Path header field in transit.
Signers MAY include any other header fields present at the time of
signing at the discretion of the signer.
INFORMATIVE OPERATIONS NOTE: The choice of which header fields to
sign is non-obvious. One strategy is to sign all existing, non-
repeatable header fields. An alternative strategy is to sign only
header fields that are likely to be displayed to or otherwise be
likely to affect the processing of the message at the receiver. A
third strategy is to sign only "well known" headers. Note that
verifiers may treat unsigned header fields with extreme
skepticism, including refusing to display them to the end user or
even ignoring the signature if it does not cover certain header
fields. For this reason, signing fields present in the message
such as Date, Subject, Reply-To, Sender, and all MIME header
fields are highly advised.
The DKIM-Signature header field is always implicitly signed and MUST
NOT be included in the "h=" tag except to indicate that other
preexisting signatures are also signed.
Signers MAY claim to have signed header fields that do not exist
(that is, signers MAY include the header field name in the "h=" tag
even if that header field does not exist in the message). When
computing the signature, the non-existing header field MUST be
treated as the null string (including the header field name, header
field value, all punctuation, and the trailing CRLF).
INFORMATIVE RATIONALE: This allows signers to explicitly assert
the absence of a header field; if that header field is added later
the signature will fail.
INFORMATIVE NOTE: A header field name need only be listed once
more than the actual number of that header field in a message at
the time of signing in order to prevent any further additions.
For example, if there is a single Comments header field at the
time of signing, listing Comments twice in the "h=" tag is
sufficient to prevent any number of Comments header fields from
being appended; it is not necessary (but is legal) to list
Comments three or more times in the "h=" tag.
Allman, et al. Standards Track [Page 36]
^L
RFC 4871 DKIM Signatures May 2007
Signers choosing to sign an existing header field that occurs more
than once in the message (such as Received) MUST sign the physically
last instance of that header field in the header block. Signers
wishing to sign multiple instances of such a header field MUST
include the header field name multiple times in the h= tag of the
DKIM-Signature header field, and MUST sign such header fields in
order from the bottom of the header field block to the top. The
signer MAY include more instances of a header field name in h= than
there are actual corresponding header fields to indicate that
additional header fields of that name SHOULD NOT be added.
INFORMATIVE EXAMPLE:
If the signer wishes to sign two existing Received header fields,
and the existing header contains:
Received: <A>
Received: <B>
Received: <C>
then the resulting DKIM-Signature header field should read:
DKIM-Signature: ... h=Received : Received : ...
and Received header fields <C> and <B> will be signed in that
order.
Signers should be careful of signing header fields that might have
additional instances added later in the delivery process, since such
header fields might be inserted after the signed instance or
otherwise reordered. Trace header fields (such as Received) and
Resent-* blocks are the only fields prohibited by [RFC2822] from
being reordered. In particular, since DKIM-Signature header fields
may be reordered by some intermediate MTAs, signing existing DKIM-
Signature header fields is error-prone.
INFORMATIVE ADMONITION: Despite the fact that [RFC2822] permits
header fields to be reordered (with the exception of Received
header fields), reordering of signed header fields with multiple
instances by intermediate MTAs will cause DKIM signatures to be
broken; such anti-social behavior should be avoided.
INFORMATIVE IMPLEMENTER'S NOTE: Although not required by this
specification, all end-user visible header fields should be signed
to avoid possible "indirect spamming". For example, if the
Subject header field is not signed, a spammer can resend a
previously signed mail, replacing the legitimate subject with a
one-line spam.
Allman, et al. Standards Track [Page 37]
^L
RFC 4871 DKIM Signatures May 2007
5.5. Recommended Signature Content
In order to maximize compatibility with a variety of verifiers, it is
recommended that signers follow the practices outlined in this
section when signing a message. However, these are generic
recommendations applying to the general case; specific senders may
wish to modify these guidelines as required by their unique
situations. Verifiers MUST be capable of verifying signatures even
if one or more of the recommended header fields is not signed (with
the exception of From, which must always be signed) or if one or more
of the disrecommended header fields is signed. Note that verifiers
do have the option of ignoring signatures that do not cover a
sufficient portion of the header or body, just as they may ignore
signatures from an identity they do not trust.
The following header fields SHOULD be included in the signature, if
they are present in the message being signed:
o From (REQUIRED in all signatures)
o Sender, Reply-To
o Subject
o Date, Message-ID
o To, Cc
o MIME-Version
o Content-Type, Content-Transfer-Encoding, Content-ID, Content-
Description
o Resent-Date, Resent-From, Resent-Sender, Resent-To, Resent-Cc,
Resent-Message-ID
o In-Reply-To, References
o List-Id, List-Help, List-Unsubscribe, List-Subscribe, List-Post,
List-Owner, List-Archive
The following header fields SHOULD NOT be included in the signature:
o Return-Path
o Received
o Comments, Keywords
Allman, et al. Standards Track [Page 38]
^L
RFC 4871 DKIM Signatures May 2007
o Bcc, Resent-Bcc
o DKIM-Signature
Optional header fields (those not mentioned above) normally SHOULD
NOT be included in the signature, because of the potential for
additional header fields of the same name to be legitimately added or
reordered prior to verification. There are likely to be legitimate
exceptions to this rule, because of the wide variety of application-
specific header fields that may be applied to a message, some of
which are unlikely to be duplicated, modified, or reordered.
Signers SHOULD choose canonicalization algorithms based on the types
of messages they process and their aversion to risk. For example,
e-commerce sites sending primarily purchase receipts, which are not
expected to be processed by mailing lists or other software likely to
modify messages, will generally prefer "simple" canonicalization.
Sites sending primarily person-to-person email will likely prefer to
be more resilient to modification during transport by using "relaxed"
canonicalization.
Signers SHOULD NOT use "l=" unless they intend to accommodate
intermediate mail processors that append text to a message. For
example, many mailing list processors append "unsubscribe"
information to message bodies. If signers use "l=", they SHOULD
include the entire message body existing at the time of signing in
computing the count. In particular, signers SHOULD NOT specify a
body length of 0 since this may be interpreted as a meaningless
signature by some verifiers.
5.6. Compute the Message Hash and Signature
The signer MUST compute the message hash as described in Section 3.7
and then sign it using the selected public-key algorithm. This will
result in a DKIM-Signature header field that will include the body
hash and a signature of the header hash, where that header includes
the DKIM-Signature header field itself.
Entities such as mailing list managers that implement DKIM and that
modify the message or a header field (for example, inserting
unsubscribe information) before retransmitting the message SHOULD
check any existing signature on input and MUST make such
modifications before re-signing the message.
The signer MAY elect to limit the number of bytes of the body that
will be included in the hash and hence signed. The length actually
hashed should be inserted in the "l=" tag of the DKIM-Signature
header field.
Allman, et al. Standards Track [Page 39]
^L
RFC 4871 DKIM Signatures May 2007
5.7. Insert the DKIM-Signature Header Field
Finally, the signer MUST insert the DKIM-Signature header field
created in the previous step prior to transmitting the email. The
DKIM-Signature header field MUST be the same as used to compute the
hash as described above, except that the value of the "b=" tag MUST
be the appropriately signed hash computed in the previous step,
signed using the algorithm specified in the "a=" tag of the DKIM-
Signature header field and using the private key corresponding to the
selector given in the "s=" tag of the DKIM-Signature header field, as
chosen above in Section 5.2
The DKIM-Signature header field MUST be inserted before any other
DKIM-Signature fields in the header block.
INFORMATIVE IMPLEMENTATION NOTE: The easiest way to achieve this
is to insert the DKIM-Signature header field at the beginning of
the header block. In particular, it may be placed before any
existing Received header fields. This is consistent with treating
DKIM-Signature as a trace header field.
6. Verifier Actions
Since a signer MAY remove or revoke a public key at any time, it is
recommended that verification occur in a timely manner. In many
configurations, the most timely place is during acceptance by the
border MTA or shortly thereafter. In particular, deferring
verification until the message is accessed by the end user is
discouraged.
A border or intermediate MTA MAY verify the message signature(s). An
MTA who has performed verification MAY communicate the result of that
verification by adding a verification header field to incoming
messages. This considerably simplifies things for the user, who can
now use an existing mail user agent. Most MUAs have the ability to
filter messages based on message header fields or content; these
filters would be used to implement whatever policy the user wishes
with respect to unsigned mail.
A verifying MTA MAY implement a policy with respect to unverifiable
mail, regardless of whether or not it applies the verification header
field to signed messages.
Verifiers MUST produce a result that is semantically equivalent to
applying the following steps in the order listed. In practice,
several of these steps can be performed in parallel in order to
improve performance.
Allman, et al. Standards Track [Page 40]
^L
RFC 4871 DKIM Signatures May 2007
6.1. Extract Signatures from the Message
The order in which verifiers try DKIM-Signature header fields is not
defined; verifiers MAY try signatures in any order they like. For
example, one implementation might try the signatures in textual
order, whereas another might try signatures by identities that match
the contents of the From header field before trying other signatures.
Verifiers MUST NOT attribute ultimate meaning to the order of
multiple DKIM-Signature header fields. In particular, there is
reason to believe that some relays will reorder the header fields in
potentially arbitrary ways.
INFORMATIVE IMPLEMENTATION NOTE: Verifiers might use the order as
a clue to signing order in the absence of any other information.
However, other clues as to the semantics of multiple signatures
(such as correlating the signing host with Received header fields)
may also be considered.
A verifier SHOULD NOT treat a message that has one or more bad
signatures and no good signatures differently from a message with no
signature at all; such treatment is a matter of local policy and is
beyond the scope of this document.
When a signature successfully verifies, a verifier will either stop
processing or attempt to verify any other signatures, at the
discretion of the implementation. A verifier MAY limit the number of
signatures it tries to avoid denial-of-service attacks.
INFORMATIVE NOTE: An attacker could send messages with large
numbers of faulty signatures, each of which would require a DNS
lookup and corresponding CPU time to verify the message. This
could be an attack on the domain that receives the message, by
slowing down the verifier by requiring it to do a large number of
DNS lookups and/or signature verifications. It could also be an
attack against the domains listed in the signatures, essentially
by enlisting innocent verifiers in launching an attack against the
DNS servers of the actual victim.
In the following description, text reading "return status
(explanation)" (where "status" is one of "PERMFAIL" or "TEMPFAIL")
means that the verifier MUST immediately cease processing that
signature. The verifier SHOULD proceed to the next signature, if any
is present, and completely ignore the bad signature. If the status
is "PERMFAIL", the signature failed and should not be reconsidered.
If the status is "TEMPFAIL", the signature could not be verified at
this time but may be tried again later. A verifier MAY either defer
the message for later processing, perhaps by queueing it locally or
issuing a 451/4.7.5 SMTP reply, or try another signature; if no good
Allman, et al. Standards Track [Page 41]
^L
RFC 4871 DKIM Signatures May 2007
signature is found and any of the signatures resulted in a TEMPFAIL
status, the verifier MAY save the message for later processing. The
"(explanation)" is not normative text; it is provided solely for
clarification.
Verifiers SHOULD ignore any DKIM-Signature header fields where the
signature does not validate. Verifiers that are prepared to validate
multiple signature header fields SHOULD proceed to the next signature
header field, should it exist. However, verifiers MAY make note of
the fact that an invalid signature was present for consideration at a
later step.
INFORMATIVE NOTE: The rationale of this requirement is to permit
messages that have invalid signatures but also a valid signature
to work. For example, a mailing list exploder might opt to leave
the original submitter signature in place even though the exploder
knows that it is modifying the message in some way that will break
that signature, and the exploder inserts its own signature. In
this case, the message should succeed even in the presence of the
known-broken signature.
For each signature to be validated, the following steps should be
performed in such a manner as to produce a result that is
semantically equivalent to performing them in the indicated order.
6.1.1. Validate the Signature Header Field
Implementers MUST meticulously validate the format and values in the
DKIM-Signature header field; any inconsistency or unexpected values
MUST cause the header field to be completely ignored and the verifier
to return PERMFAIL (signature syntax error). Being "liberal in what
you accept" is definitely a bad strategy in this security context.
Note however that this does not include the existence of unknown tags
in a DKIM-Signature header field, which are explicitly permitted.
Verifiers MUST ignore DKIM-Signature header fields with a "v=" tag
that is inconsistent with this specification and return PERMFAIL
(incompatible version).
INFORMATIVE IMPLEMENTATION NOTE: An implementation may, of course,
choose to also verify signatures generated by older versions of
this specification.
If any tag listed as "required" in Section 3.5 is omitted from the
DKIM-Signature header field, the verifier MUST ignore the DKIM-
Signature header field and return PERMFAIL (signature missing
required tag).
Allman, et al. Standards Track [Page 42]
^L
RFC 4871 DKIM Signatures May 2007
INFORMATIONAL NOTE: The tags listed as required in Section 3.5 are
"v=", "a=", "b=", "bh=", "d=", "h=", and "s=". Should there be a
conflict between this note and Section 3.5, Section 3.5 is
normative.
If the DKIM-Signature header field does not contain the "i=" tag, the
verifier MUST behave as though the value of that tag were "@d", where
"d" is the value from the "d=" tag.
Verifiers MUST confirm that the domain specified in the "d=" tag is
the same as or a parent domain of the domain part of the "i=" tag.
If not, the DKIM-Signature header field MUST be ignored and the
verifier should return PERMFAIL (domain mismatch).
If the "h=" tag does not include the From header field, the verifier
MUST ignore the DKIM-Signature header field and return PERMFAIL (From
field not signed).
Verifiers MAY ignore the DKIM-Signature header field and return
PERMFAIL (signature expired) if it contains an "x=" tag and the
signature has expired.
Verifiers MAY ignore the DKIM-Signature header field if the domain
used by the signer in the "d=" tag is not associated with a valid
signing entity. For example, signatures with "d=" values such as
"com" and "co.uk" may be ignored. The list of unacceptable domains
SHOULD be configurable.
Verifiers MAY ignore the DKIM-Signature header field and return
PERMFAIL (unacceptable signature header) for any other reason, for
example, if the signature does not sign header fields that the
verifier views to be essential. As a case in point, if MIME header
fields are not signed, certain attacks may be possible that the
verifier would prefer to avoid.
6.1.2. Get the Public Key
The public key for a signature is needed to complete the verification
process. The process of retrieving the public key depends on the
query type as defined by the "q=" tag in the DKIM-Signature header
field. Obviously, a public key need only be retrieved if the process
of extracting the signature information is completely successful.
Details of key management and representation are described in
Section 3.6. The verifier MUST validate the key record and MUST
ignore any public key records that are malformed.
When validating a message, a verifier MUST perform the following
steps in a manner that is semantically the same as performing them in
Allman, et al. Standards Track [Page 43]
^L
RFC 4871 DKIM Signatures May 2007
the order indicated (in some cases, the implementation may
parallelize or reorder these steps, as long as the semantics remain
unchanged):
1. Retrieve the public key as described in Section 3.6 using the
algorithm in the "q=" tag, the domain from the "d=" tag, and the
selector from the "s=" tag.
2. If the query for the public key fails to respond, the verifier
MAY defer acceptance of this email and return TEMPFAIL (key
unavailable). If verification is occurring during the incoming
SMTP session, this MAY be achieved with a 451/4.7.5 SMTP reply
code. Alternatively, the verifier MAY store the message in the
local queue for later trial or ignore the signature. Note that
storing a message in the local queue is subject to denial-of-
service attacks.
3. If the query for the public key fails because the corresponding
key record does not exist, the verifier MUST immediately return
PERMFAIL (no key for signature).
4. If the query for the public key returns multiple key records, the
verifier may choose one of the key records or may cycle through
the key records performing the remainder of these steps on each
record at the discretion of the implementer. The order of the
key records is unspecified. If the verifier chooses to cycle
through the key records, then the "return ..." wording in the
remainder of this section means "try the next key record, if any;
if none, return to try another signature in the usual way".
5. If the result returned from the query does not adhere to the
format defined in this specification, the verifier MUST ignore
the key record and return PERMFAIL (key syntax error). Verifiers
are urged to validate the syntax of key records carefully to
avoid attempted attacks. In particular, the verifier MUST ignore
keys with a version code ("v=" tag) that they do not implement.
6. If the "g=" tag in the public key does not match the Local-part
of the "i=" tag in the message signature header field, the
verifier MUST ignore the key record and return PERMFAIL
(inapplicable key). If the Local-part of the "i=" tag on the
message signature is not present, the "g=" tag must be "*" (valid
for all addresses in the domain) or the entire g= tag must be
omitted (which defaults to "g=*"), otherwise the verifier MUST
ignore the key record and return PERMFAIL (inapplicable key).
Other than this test, verifiers SHOULD NOT treat a message signed
with a key record having a "g=" tag any differently than one
without; in particular, verifiers SHOULD NOT prefer messages that
Allman, et al. Standards Track [Page 44]
^L
RFC 4871 DKIM Signatures May 2007
seem to have an individual signature by virtue of a "g=" tag
versus a domain signature.
7. If the "h=" tag exists in the public key record and the hash
algorithm implied by the a= tag in the DKIM-Signature header
field is not included in the contents of the "h=" tag, the
verifier MUST ignore the key record and return PERMFAIL
(inappropriate hash algorithm).
8. If the public key data (the "p=" tag) is empty, then this key has
been revoked and the verifier MUST treat this as a failed
signature check and return PERMFAIL (key revoked). There is no
defined semantic difference between a key that has been revoked
and a key record that has been removed.
9. If the public key data is not suitable for use with the algorithm
and key types defined by the "a=" and "k=" tags in the DKIM-
Signature header field, the verifier MUST immediately return
PERMFAIL (inappropriate key algorithm).
6.1.3. Compute the Verification
Given a signer and a public key, verifying a signature consists of
actions semantically equivalent to the following steps.
1. Based on the algorithm defined in the "c=" tag, the body length
specified in the "l=" tag, and the header field names in the "h="
tag, prepare a canonicalized version of the message as is
described in Section 3.7 (note that this version does not
actually need to be instantiated). When matching header field
names in the "h=" tag against the actual message header field,
comparisons MUST be case-insensitive.
2. Based on the algorithm indicated in the "a=" tag, compute the
message hashes from the canonical copy as described in
Section 3.7.
3. Verify that the hash of the canonicalized message body computed
in the previous step matches the hash value conveyed in the "bh="
tag. If the hash does not match, the verifier SHOULD ignore the
signature and return PERMFAIL (body hash did not verify).
4. Using the signature conveyed in the "b=" tag, verify the
signature against the header hash using the mechanism appropriate
for the public key algorithm described in the "a=" tag. If the
signature does not validate, the verifier SHOULD ignore the
signature and return PERMFAIL (signature did not verify).
Allman, et al. Standards Track [Page 45]
^L
RFC 4871 DKIM Signatures May 2007
5. Otherwise, the signature has correctly verified.
INFORMATIVE IMPLEMENTER'S NOTE: Implementations might wish to
initiate the public-key query in parallel with calculating the
hash as the public key is not needed until the final decryption is
calculated. Implementations may also verify the signature on the
message header before validating that the message hash listed in
the "bh=" tag in the DKIM-Signature header field matches that of
the actual message body; however, if the body hash does not match,
the entire signature must be considered to have failed.
A body length specified in the "l=" tag of the signature limits the
number of bytes of the body passed to the verification algorithm.
All data beyond that limit is not validated by DKIM. Hence,
verifiers might treat a message that contains bytes beyond the
indicated body length with suspicion, such as by truncating the
message at the indicated body length, declaring the signature invalid
(e.g., by returning PERMFAIL (unsigned content)), or conveying the
partial verification to the policy module.
INFORMATIVE IMPLEMENTATION NOTE: Verifiers that truncate the body
at the indicated body length might pass on a malformed MIME
message if the signer used the "N-4" trick (omitting the final
"--CRLF") described in the informative note in Section 3.4.5.
Such verifiers may wish to check for this case and include a
trailing "--CRLF" to avoid breaking the MIME structure. A simple
way to achieve this might be to append "--CRLF" to any "multipart"
message with a body length; if the MIME structure is already
correctly formed, this will appear in the postlude and will not be
displayed to the end user.
6.2. Communicate Verification Results
Verifiers wishing to communicate the results of verification to other
parts of the mail system may do so in whatever manner they see fit.
For example, implementations might choose to add an email header
field to the message before passing it on. Any such header field
SHOULD be inserted before any existing DKIM-Signature or preexisting
authentication status header fields in the header field block.
INFORMATIVE ADVICE to MUA filter writers: Patterns intended to
search for results header fields to visibly mark authenticated
mail for end users should verify that such header field was added
by the appropriate verifying domain and that the verified identity
matches the author identity that will be displayed by the MUA. In
particular, MUA filters should not be influenced by bogus results
Allman, et al. Standards Track [Page 46]
^L
RFC 4871 DKIM Signatures May 2007
header fields added by attackers. To circumvent this attack,
verifiers may wish to delete existing results header fields after
verification and before adding a new header field.
6.3. Interpret Results/Apply Local Policy
It is beyond the scope of this specification to describe what actions
a verifier system should make, but an authenticated email presents an
opportunity to a receiving system that unauthenticated email cannot.
Specifically, an authenticated email creates a predictable identifier
by which other decisions can reliably be managed, such as trust and
reputation. Conversely, unauthenticated email lacks a reliable
identifier that can be used to assign trust and reputation. It is
reasonable to treat unauthenticated email as lacking any trust and
having no positive reputation.
In general, verifiers SHOULD NOT reject messages solely on the basis
of a lack of signature or an unverifiable signature; such rejection
would cause severe interoperability problems. However, if the
verifier does opt to reject such messages (for example, when
communicating with a peer who, by prior agreement, agrees to only
send signed messages), and the verifier runs synchronously with the
SMTP session and a signature is missing or does not verify, the MTA
SHOULD use a 550/5.7.x reply code.
If it is not possible to fetch the public key, perhaps because the
key server is not available, a temporary failure message MAY be
generated using a 451/4.7.5 reply code, such as:
451 4.7.5 Unable to verify signature - key server unavailable
Temporary failures such as inability to access the key server or
other external service are the only conditions that SHOULD use a 4xx
SMTP reply code. In particular, cryptographic signature verification
failures MUST NOT return 4xx SMTP replies.
Once the signature has been verified, that information MUST be
conveyed to higher-level systems (such as explicit allow/whitelists
and reputation systems) and/or to the end user. If the message is
signed on behalf of any address other than that in the From: header
field, the mail system SHOULD take pains to ensure that the actual
signing identity is clear to the reader.
The verifier MAY treat unsigned header fields with extreme
skepticism, including marking them as untrusted or even deleting them
before display to the end user.
Allman, et al. Standards Track [Page 47]
^L
RFC 4871 DKIM Signatures May 2007
While the symptoms of a failed verification are obvious -- the
signature doesn't verify -- establishing the exact cause can be more
difficult. If a selector cannot be found, is that because the
selector has been removed, or was the value changed somehow in
transit? If the signature line is missing, is that because it was
never there, or was it removed by an overzealous filter? For
diagnostic purposes, the exact reason why the verification fails
SHOULD be made available to the policy module and possibly recorded
in the system logs. If the email cannot be verified, then it SHOULD
be rendered the same as all unverified email regardless of whether or
not it looks like it was signed.
7. IANA Considerations
DKIM introduces some new namespaces that have been registered with
IANA. In all cases, new values are assigned only for values that
have been documented in a published RFC that has IETF Consensus
[RFC2434].
7.1. DKIM-Signature Tag Specifications
A DKIM-Signature provides for a list of tag specifications. IANA has
established the DKIM-Signature Tag Specification Registry for tag
specifications that can be used in DKIM-Signature fields.
The initial entries in the registry comprise:
+------+-----------------+
| TYPE | REFERENCE |
+------+-----------------+
| v | (this document) |
| a | (this document) |
| b | (this document) |
| bh | (this document) |
| c | (this document) |
| d | (this document) |
| h | (this document) |
| i | (this document) |
| l | (this document) |
| q | (this document) |
| s | (this document) |
| t | (this document) |
| x | (this document) |
| z | (this document) |
+------+-----------------+
DKIM-Signature Tag Specification Registry Initial Values
Allman, et al. Standards Track [Page 48]
^L
RFC 4871 DKIM Signatures May 2007
7.2. DKIM-Signature Query Method Registry
The "q=" tag-spec (specified in Section 3.5) provides for a list of
query methods.
IANA has established the DKIM-Signature Query Method Registry for
mechanisms that can be used to retrieve the key that will permit
validation processing of a message signed using DKIM.
The initial entry in the registry comprises:
+------+--------+-----------------+
| TYPE | OPTION | REFERENCE |
+------+--------+-----------------+
| dns | txt | (this document) |
+------+--------+-----------------+
DKIM-Signature Query Method Registry Initial Values
7.3. DKIM-Signature Canonicalization Registry
The "c=" tag-spec (specified in Section 3.5) provides for a specifier
for canonicalization algorithms for the header and body of the
message.
IANA has established the DKIM-Signature Canonicalization Algorithm
Registry for algorithms for converting a message into a canonical
form before signing or verifying using DKIM.
The initial entries in the header registry comprise:
+---------+-----------------+
| TYPE | REFERENCE |
+---------+-----------------+
| simple | (this document) |
| relaxed | (this document) |
+---------+-----------------+
DKIM-Signature Header Canonicalization Algorithm Registry
Initial Values
Allman, et al. Standards Track [Page 49]
^L
RFC 4871 DKIM Signatures May 2007
The initial entries in the body registry comprise:
+---------+-----------------+
| TYPE | REFERENCE |
+---------+-----------------+
| simple | (this document) |
| relaxed | (this document) |
+---------+-----------------+
DKIM-Signature Body Canonicalization Algorithm Registry
Initial Values
7.4. _domainkey DNS TXT Record Tag Specifications
A _domainkey DNS TXT record provides for a list of tag
specifications. IANA has established the DKIM _domainkey DNS TXT Tag
Specification Registry for tag specifications that can be used in DNS
TXT Records.
The initial entries in the registry comprise:
+------+-----------------+
| TYPE | REFERENCE |
+------+-----------------+
| v | (this document) |
| g | (this document) |
| h | (this document) |
| k | (this document) |
| n | (this document) |
| p | (this document) |
| s | (this document) |
| t | (this document) |
+------+-----------------+
DKIM _domainkey DNS TXT Record Tag Specification Registry
Initial Values
7.5. DKIM Key Type Registry
The "k=" <key-k-tag> (specified in Section 3.6.1) and the "a=" <sig-
a-tag-k> (specified in Section 3.5) tags provide for a list of
mechanisms that can be used to decode a DKIM signature.
IANA has established the DKIM Key Type Registry for such mechanisms.
Allman, et al. Standards Track [Page 50]
^L
RFC 4871 DKIM Signatures May 2007
The initial entry in the registry comprises:
+------+-----------+
| TYPE | REFERENCE |
+------+-----------+
| rsa | [RFC3447] |
+------+-----------+
DKIM Key Type Initial Values
7.6. DKIM Hash Algorithms Registry
The "h=" <key-h-tag> (specified in Section 3.6.1) and the "a=" <sig-
a-tag-h> (specified in Section 3.5) tags provide for a list of
mechanisms that can be used to produce a digest of message data.
IANA has established the DKIM Hash Algorithms Registry for such
mechanisms.
The initial entries in the registry comprise:
+--------+-------------------+
| TYPE | REFERENCE |
+--------+-------------------+
| sha1 | [FIPS.180-2.2002] |
| sha256 | [FIPS.180-2.2002] |
+--------+-------------------+
DKIM Hash Algorithms Initial Values
7.7. DKIM Service Types Registry
The "s=" <key-s-tag> tag (specified in Section 3.6.1) provides for a
list of service types to which this selector may apply.
IANA has established the DKIM Service Types Registry for service
types.
The initial entries in the registry comprise:
+-------+-----------------+
| TYPE | REFERENCE |
+-------+-----------------+
| email | (this document) |
| * | (this document) |
+-------+-----------------+
DKIM Service Types Registry Initial Values
Allman, et al. Standards Track [Page 51]
^L
RFC 4871 DKIM Signatures May 2007
7.8. DKIM Selector Flags Registry
The "t=" <key-t-tag> tag (specified in Section 3.6.1) provides for a
list of flags to modify interpretation of the selector.
IANA has established the DKIM Selector Flags Registry for additional
flags.
The initial entries in the registry comprise:
+------+-----------------+
| TYPE | REFERENCE |
+------+-----------------+
| y | (this document) |
| s | (this document) |
+------+-----------------+
DKIM Selector Flags Registry Initial Values
7.9. DKIM-Signature Header Field
IANA has added DKIM-Signature to the "Permanent Message Header
Fields" registry (see [RFC3864]) for the "mail" protocol, using this
document as the reference.
8. Security Considerations
It has been observed that any mechanism that is introduced that
attempts to stem the flow of spam is subject to intensive attack.
DKIM needs to be carefully scrutinized to identify potential attack
vectors and the vulnerability to each. See also [RFC4686].
8.1. Misuse of Body Length Limits ("l=" Tag)
Body length limits (in the form of the "l=" tag) are subject to
several potential attacks.
8.1.1. Addition of New MIME Parts to Multipart/*
If the body length limit does not cover a closing MIME multipart
section (including the trailing "--CRLF" portion), then it is
possible for an attacker to intercept a properly signed multipart
message and add a new body part. Depending on the details of the
MIME type and the implementation of the verifying MTA and the
receiving MUA, this could allow an attacker to change the information
displayed to an end user from an apparently trusted source.
Allman, et al. Standards Track [Page 52]
^L
RFC 4871 DKIM Signatures May 2007
For example, if attackers can append information to a "text/html"
body part, they may be able to exploit a bug in some MUAs that
continue to read after a "</html>" marker, and thus display HTML text
on top of already displayed text. If a message has a
"multipart/alternative" body part, they might be able to add a new
body part that is preferred by the displaying MUA.
8.1.2. Addition of new HTML content to existing content
Several receiving MUA implementations do not cease display after a
""</html>"" tag. In particular, this allows attacks involving
overlaying images on top of existing text.
INFORMATIVE EXAMPLE: Appending the following text to an existing,
properly closed message will in many MUAs result in inappropriate
data being rendered on top of existing, correct data:
<div style="position: relative; bottom: 350px; z-index: 2;">
<img src="http://www.ietf.org/images/ietflogo2e.gif"
width=578 height=370>
</div>
8.2. Misappropriated Private Key
If the private key for a user is resident on their computer and is
not protected by an appropriately secure mechanism, it is possible
for malware to send mail as that user and any other user sharing the
same private key. The malware would not, however, be able to
generate signed spoofs of other signers' addresses, which would aid
in identification of the infected user and would limit the
possibilities for certain types of attacks involving socially
engineered messages. This threat applies mainly to MUA-based
implementations; protection of private keys on servers can be easily
achieved through the use of specialized cryptographic hardware.
A larger problem occurs if malware on many users' computers obtains
the private keys for those users and transmits them via a covert
channel to a site where they can be shared. The compromised users
would likely not know of the misappropriation until they receive
"bounce" messages from messages they are purported to have sent.
Many users might not understand the significance of these bounce
messages and would not take action.
One countermeasure is to use a user-entered passphrase to encrypt the
private key, although users tend to choose weak passphrases and often
reuse them for different purposes, possibly allowing an attack
against DKIM to be extended into other domains. Nevertheless, the
decoded private key might be briefly available to compromise by
malware when it is entered, or might be discovered via keystroke
Allman, et al. Standards Track [Page 53]
^L
RFC 4871 DKIM Signatures May 2007
logging. The added complexity of entering a passphrase each time one
sends a message would also tend to discourage the use of a secure
passphrase.
A somewhat more effective countermeasure is to send messages through
an outgoing MTA that can authenticate the submitter using existing
techniques (e.g., SMTP Authentication), possibly validate the message
itself (e.g., verify that the header is legitimate and that the
content passes a spam content check), and sign the message using a
key appropriate for the submitter address. Such an MTA can also
apply controls on the volume of outgoing mail each user is permitted
to originate in order to further limit the ability of malware to
generate bulk email.
8.3. Key Server Denial-of-Service Attacks
Since the key servers are distributed (potentially separate for each
domain), the number of servers that would need to be attacked to
defeat this mechanism on an Internet-wide basis is very large.
Nevertheless, key servers for individual domains could be attacked,
impeding the verification of messages from that domain. This is not
significantly different from the ability of an attacker to deny
service to the mail exchangers for a given domain, although it
affects outgoing, not incoming, mail.
A variation on this attack is that if a very large amount of mail
were to be sent using spoofed addresses from a given domain, the key
servers for that domain could be overwhelmed with requests. However,
given the low overhead of verification compared with handling of the
email message itself, such an attack would be difficult to mount.
8.4. Attacks Against the DNS
Since the DNS is a required binding for key services, specific
attacks against the DNS must be considered.
While the DNS is currently insecure [RFC3833], these security
problems are the motivation behind DNS Security (DNSSEC) [RFC4033],
and all users of the DNS will reap the benefit of that work.
DKIM is only intended as a "sufficient" method of proving
authenticity. It is not intended to provide strong cryptographic
proof about authorship or contents. Other technologies such as
OpenPGP [RFC2440] and S/MIME [RFC3851] address those requirements.
A second security issue related to the DNS revolves around the
increased DNS traffic as a consequence of fetching selector-based
data as well as fetching signing domain policy. Widespread
Allman, et al. Standards Track [Page 54]
^L
RFC 4871 DKIM Signatures May 2007
deployment of DKIM will result in a significant increase in DNS
queries to the claimed signing domain. In the case of forgeries on a
large scale, DNS servers could see a substantial increase in queries.
A specific DNS security issue that should be considered by DKIM
verifiers is the name chaining attack described in Section 2.3 of the
DNS Threat Analysis [RFC3833]. A DKIM verifier, while verifying a
DKIM-Signature header field, could be prompted to retrieve a key
record of an attacker's choosing. This threat can be minimized by
ensuring that name servers, including recursive name servers, used by
the verifier enforce strict checking of "glue" and other additional
information in DNS responses and are therefore not vulnerable to this
attack.
8.5. Replay Attacks
In this attack, a spammer sends a message to be spammed to an
accomplice, which results in the message being signed by the
originating MTA. The accomplice resends the message, including the
original signature, to a large number of recipients, possibly by
sending the message to many compromised machines that act as MTAs.
The messages, not having been modified by the accomplice, have valid
signatures.
Partial solutions to this problem involve the use of reputation
services to convey the fact that the specific email address is being
used for spam and that messages from that signer are likely to be
spam. This requires a real-time detection mechanism in order to
react quickly enough. However, such measures might be prone to
abuse, if for example an attacker resent a large number of messages
received from a victim in order to make them appear to be a spammer.
Large verifiers might be able to detect unusually large volumes of
mails with the same signature in a short time period. Smaller
verifiers can get substantially the same volume of information via
existing collaborative systems.
8.6. Limits on Revoking Keys
When a large domain detects undesirable behavior on the part of one
of its users, it might wish to revoke the key used to sign that
user's messages in order to disavow responsibility for messages that
have not yet been verified or that are the subject of a replay
attack. However, the ability of the domain to do so can be limited
if the same key, for scalability reasons, is used to sign messages
for many other users. Mechanisms for explicitly revoking keys on a
per-address basis have been proposed but require further study as to
their utility and the DNS load they represent.
Allman, et al. Standards Track [Page 55]
^L
RFC 4871 DKIM Signatures May 2007
8.7. Intentionally Malformed Key Records
It is possible for an attacker to publish key records in DNS that are
intentionally malformed, with the intent of causing a denial-of-
service attack on a non-robust verifier implementation. The attacker
could then cause a verifier to read the malformed key record by
sending a message to one of its users referencing the malformed
record in a (not necessarily valid) signature. Verifiers MUST
thoroughly verify all key records retrieved from the DNS and be
robust against intentionally as well as unintentionally malformed key
records.
8.8. Intentionally Malformed DKIM-Signature Header Fields
Verifiers MUST be prepared to receive messages with malformed DKIM-
Signature header fields, and thoroughly verify the header field
before depending on any of its contents.
8.9. Information Leakage
An attacker could determine when a particular signature was verified
by using a per-message selector and then monitoring their DNS traffic
for the key lookup. This would act as the equivalent of a "web bug"
for verification time rather than when the message was read.
8.10. Remote Timing Attacks
In some cases, it may be possible to extract private keys using a
remote timing attack [BONEH03]. Implementations should consider
obfuscating the timing to prevent such attacks.
8.11. Reordered Header Fields
Existing standards allow intermediate MTAs to reorder header fields.
If a signer signs two or more header fields of the same name, this
can cause spurious verification errors on otherwise legitimate
messages. In particular, signers that sign any existing DKIM-
Signature fields run the risk of having messages incorrectly fail to
verify.
8.12. RSA Attacks
An attacker could create a large RSA signing key with a small
exponent, thus requiring that the verification key have a large
exponent. This will force verifiers to use considerable computing
resources to verify the signature. Verifiers might avoid this attack
by refusing to verify signatures that reference selectors with public
keys having unreasonable exponents.
Allman, et al. Standards Track [Page 56]
^L
RFC 4871 DKIM Signatures May 2007
In general, an attacker might try to overwhelm a verifier by flooding
it with messages requiring verification. This is similar to other
MTA denial-of-service attacks and should be dealt with in a similar
fashion.
8.13. Inappropriate Signing by Parent Domains
The trust relationship described in Section 3.8 could conceivably be
used by a parent domain to sign messages with identities in a
subdomain not administratively related to the parent. For example,
the ".com" registry could create messages with signatures using an
"i=" value in the example.com domain. There is no general solution
to this problem, since the administrative cut could occur anywhere in
the domain name. For example, in the domain "example.podunk.ca.us"
there are three administrative cuts (podunk.ca.us, ca.us, and us),
any of which could create messages with an identity in the full
domain.
INFORMATIVE NOTE: This is considered an acceptable risk for the
same reason that it is acceptable for domain delegation. For
example, in the example above any of the domains could potentially
simply delegate "example.podunk.ca.us" to a server of their choice
and completely replace all DNS-served information. Note that a
verifier MAY ignore signatures that come from an unlikely domain
such as ".com", as discussed in Section 6.1.1.
9. References
9.1. Normative References
[FIPS.180-2.2002] U.S. Department of Commerce, "Secure Hash
Standard", FIPS PUB 180-2, August 2002.
[ITU.X660.1997] "Information Technology - ASN.1 encoding rules:
Specification of Basic Encoding Rules (BER),
Canonical Encoding Rules (CER) and Distinguished
Encoding Rules (DER)", ITU-T Recommendation X.660,
1997.
[RFC2045] Freed, N. and N. Borenstein, "Multipurpose
Internet Mail Extensions (MIME) Part One: Format
of Internet Message Bodies", RFC 2045,
November 1996.
[RFC2047] Moore, K., "MIME (Multipurpose Internet Mail
Extensions) Part Three: Message header field
Extensions for Non-ASCII Text", RFC 2047,
November 1996.
Allman, et al. Standards Track [Page 57]
^L
RFC 4871 DKIM Signatures May 2007
[RFC2119] Bradner, S., "Key words for use in RFCs to
Indicate Requirement Levels", BCP 14, RFC 2119,
March 1997.
[RFC2821] Klensin, J., "Simple Mail Transfer Protocol",
RFC 2821, April 2001.
[RFC2822] Resnick, P., "Internet Message Format", RFC 2822,
April 2001.
[RFC3447] Jonsson, J. and B. Kaliski, "Public-Key
Cryptography Standards (PKCS) #1: RSA Cryptography
Specifications Version 2.1", RFC 3447,
February 2003.
[RFC3490] Faltstrom, P., Hoffman, P., and A. Costello,
"Internationalizing Domain Names in Applications
(IDNA)", RFC 3490, March 2003.
[RFC4234] Crocker, D., Ed. and P. Overell, "Augmented BNF
for Syntax Specifications: ABNF", RFC 4234,
October 2005.
9.2. Informative References
[BONEH03] Proc. 12th USENIX Security Symposium, "Remote
Timing Attacks are Practical", 2003.
[RFC1847] Galvin, J., Murphy, S., Crocker, S., and N. Freed,
"Security Multiparts for MIME: Multipart/Signed
and Multipart/Encrypted", RFC 1847, October 1995.
[RFC2434] Narten, T. and H. Alvestrand, "Guidelines for
Writing an IANA Considerations Section in RFCs",
BCP 26, RFC 2434, October 1998.
[RFC2440] Callas, J., Donnerhacke, L., Finney, H., and R.
Thayer, "OpenPGP Message Format", RFC 2440,
November 1998.
[RFC3766] Orman, H. and P. Hoffman, "Determining Strengths
for Public Keys Used For Exchanging Symmetric
Keys", RFC 3766, April 2004.
[RFC3833] Atkins, D. and R. Austein, "Threat Analysis of the
Domain Name System (DNS)", RFC 3833, August 2004.
Allman, et al. Standards Track [Page 58]
^L
RFC 4871 DKIM Signatures May 2007
[RFC3851] Ramsdell, B., "S/MIME Version 3 Message
Specification", RFC 3851, June 1999.
[RFC3864] Klyne, G., Nottingham, M., and J. Mogul,
"Registration Procedures for Message Header
Fields", BCP 90, September 2004.
[RFC4033] Arends, R., Austein, R., Larson, M., Massey, D.,
and S. Rose, "DNS Security Introduction and
Requirements", RFC 4033, March 2005.
[RFC4686] Fenton, J., "Analysis of Threats Motivating
DomainKeys Identified Mail (DKIM)", RFC 4686,
September 2006.
[RFC4870] Delany, M., "Domain-Based Email Authentication
Using Public Keys Advertised in the DNS
(DomainKeys)", RFC 4870, May 2007.
Allman, et al. Standards Track [Page 59]
^L
RFC 4871 DKIM Signatures May 2007
Appendix A. Example of Use (INFORMATIVE)
This section shows the complete flow of an email from submission to
final delivery, demonstrating how the various components fit
together. The key used in this example is shown in Appendix C.
A.1. The User Composes an Email
From: Joe SixPack <joe@football.example.com>
To: Suzie Q <suzie@shopping.example.net>
Subject: Is dinner ready?
Date: Fri, 11 Jul 2003 21:00:37 -0700 (PDT)
Message-ID: <20030712040037.46341.5F8J@football.example.com>
Hi.
We lost the game. Are you hungry yet?
Joe.
Allman, et al. Standards Track [Page 60]
^L
RFC 4871 DKIM Signatures May 2007
A.2. The Email Is Signed
This email is signed by the example.com outbound email server and now
looks like this:
DKIM-Signature: v=1; a=rsa-sha256; s=brisbane; d=example.com;
c=simple/simple; q=dns/txt; i=joe@football.example.com;
h=Received : From : To : Subject : Date : Message-ID;
bh=2jUSOH9NhtVGCQWNr9BrIAPreKQjO6Sn7XIkfJVOzv8=;
b=AuUoFEfDxTDkHlLXSZEpZj79LICEps6eda7W3deTVFOk4yAUoqOB
4nujc7YopdG5dWLSdNg6xNAZpOPr+kHxt1IrE+NahM6L/LbvaHut
KVdkLLkpVaVVQPzeRDI009SO2Il5Lu7rDNH6mZckBdrIx0orEtZV
4bmp/YzhwvcubU4=;
Received: from client1.football.example.com [192.0.2.1]
by submitserver.example.com with SUBMISSION;
Fri, 11 Jul 2003 21:01:54 -0700 (PDT)
From: Joe SixPack <joe@football.example.com>
To: Suzie Q <suzie@shopping.example.net>
Subject: Is dinner ready?
Date: Fri, 11 Jul 2003 21:00:37 -0700 (PDT)
Message-ID: <20030712040037.46341.5F8J@football.example.com>
Hi.
We lost the game. Are you hungry yet?
Joe.
The signing email server requires access to the private key
associated with the "brisbane" selector to generate this signature.
A.3. The Email Signature Is Verified
The signature is normally verified by an inbound SMTP server or
possibly the final delivery agent. However, intervening MTAs can
also perform this verification if they choose to do so. The
verification process uses the domain "example.com" extracted from the
"d=" tag and the selector "brisbane" from the "s=" tag in the DKIM-
Signature header field to form the DNS DKIM query for:
brisbane._domainkey.example.com
Signature verification starts with the physically last Received
header field, the From header field, and so forth, in the order
listed in the "h=" tag. Verification follows with a single CRLF
followed by the body (starting with "Hi."). The email is canonically
prepared for verifying with the "simple" method. The result of the
query and subsequent verification of the signature is stored (in this
Allman, et al. Standards Track [Page 61]
^L
RFC 4871 DKIM Signatures May 2007
example) in the X-Authentication-Results header field line. After
successful verification, the email looks like this:
X-Authentication-Results: shopping.example.net
header.from=joe@football.example.com; dkim=pass
Received: from mout23.football.example.com (192.168.1.1)
by shopping.example.net with SMTP;
Fri, 11 Jul 2003 21:01:59 -0700 (PDT)
DKIM-Signature: v=1; a=rsa-sha256; s=brisbane; d=example.com;
c=simple/simple; q=dns/txt; i=joe@football.example.com;
h=Received : From : To : Subject : Date : Message-ID;
bh=2jUSOH9NhtVGCQWNr9BrIAPreKQjO6Sn7XIkfJVOzv8=;
b=AuUoFEfDxTDkHlLXSZEpZj79LICEps6eda7W3deTVFOk4yAUoqOB
4nujc7YopdG5dWLSdNg6xNAZpOPr+kHxt1IrE+NahM6L/LbvaHut
KVdkLLkpVaVVQPzeRDI009SO2Il5Lu7rDNH6mZckBdrIx0orEtZV
4bmp/YzhwvcubU4=;
Received: from client1.football.example.com [192.0.2.1]
by submitserver.example.com with SUBMISSION;
Fri, 11 Jul 2003 21:01:54 -0700 (PDT)
From: Joe SixPack <joe@football.example.com>
To: Suzie Q <suzie@shopping.example.net>
Subject: Is dinner ready?
Date: Fri, 11 Jul 2003 21:00:37 -0700 (PDT)
Message-ID: <20030712040037.46341.5F8J@football.example.com>
Hi.
We lost the game. Are you hungry yet?
Joe.
Appendix B. Usage Examples (INFORMATIVE)
DKIM signing and validating can be used in different ways, for
different operational scenarios. This Appendix discusses some common
examples.
NOTE: Descriptions in this Appendix are for informational purposes
only. They describe various ways that DKIM can be used, given
particular constraints and needs. In no case are these examples
intended to be taken as providing explanation or guidance
concerning DKIM specification details, when creating an
implementation.
Allman, et al. Standards Track [Page 62]
^L
RFC 4871 DKIM Signatures May 2007
B.1. Alternate Submission Scenarios
In the most simple scenario, a user's MUA, MSA, and Internet
(boundary) MTA are all within the same administrative environment,
using the same domain name. Therefore, all of the components
involved in submission and initial transfer are related. However, it
is common for two or more of the components to be under independent
administrative control. This creates challenges for choosing and
administering the domain name to use for signing, and for its
relationship to common email identity header fields.
B.1.1. Delegated Business Functions
Some organizations assign specific business functions to discrete
groups, inside or outside the organization. The goal, then, is to
authorize that group to sign some mail, but to constrain what
signatures they can generate. DKIM selectors (the "s=" signature
tag) and granularity (the "g=" key tag) facilitate this kind of
restricted authorization. Examples of these outsourced business
functions are legitimate email marketing providers and corporate
benefits providers.
Here, the delegated group needs to be able to send messages that are
signed, using the email domain of the client company. At the same
time, the client often is reluctant to register a key for the
provider that grants the ability to send messages for arbitrary
addresses in the domain.
There are multiple ways to administer these usage scenarios. In one
case, the client organization provides all of the public query
service (for example, DNS) administration, and in another it uses DNS
delegation to enable all ongoing administration of the DKIM key
record by the delegated group.
If the client organization retains responsibility for all of the DNS
administration, the outsourcing company can generate a key pair,
supplying the public key to the client company, which then registers
it in the query service, using a unique selector that authorizes a
specific From header field Local-part. For example, a client with
the domain "example.com" could have the selector record specify
"g=winter-promotions" so that this signature is only valid for mail
with a From address of "winter-promotions@example.com". This would
enable the provider to send messages using that specific address and
have them verify properly. The client company retains control over
the email address because it retains the ability to revoke the key at
any time.
Allman, et al. Standards Track [Page 63]
^L
RFC 4871 DKIM Signatures May 2007
If the client wants the delegated group to do the DNS administration,
it can have the domain name that is specified with the selector point
to the provider's DNS server. The provider then creates and
maintains all of the DKIM signature information for that selector.
Hence, the client cannot provide constraints on the Local-part of
addresses that get signed, but it can revoke the provider's signing
rights by removing the DNS delegation record.
B.1.2. PDAs and Similar Devices
PDAs demonstrate the need for using multiple keys per domain.
Suppose that John Doe wanted to be able to send messages using his
corporate email address, jdoe@example.com, and his email device did
not have the ability to make a Virtual Private Network (VPN)
connection to the corporate network, either because the device is
limited or because there are restrictions enforced by his Internet
access provider. If the device was equipped with a private key
registered for jdoe@example.com by the administrator of the
example.com domain, and appropriate software to sign messages, John
could sign the message on the device itself before transmission
through the outgoing network of the access service provider.
B.1.3. Roaming Users
Roaming users often find themselves in circumstances where it is
convenient or necessary to use an SMTP server other than their home
server; examples are conferences and many hotels. In such
circumstances, a signature that is added by the submission service
will use an identity that is different from the user's home system.
Ideally, roaming users would connect back to their home server using
either a VPN or a SUBMISSION server running with SMTP AUTHentication
on port 587. If the signing can be performed on the roaming user's
laptop, then they can sign before submission, although the risk of
further modification is high. If neither of these are possible,
these roaming users will not be able to send mail signed using their
own domain key.
B.1.4. Independent (Kiosk) Message Submission
Stand-alone services, such as walk-up kiosks and web-based
information services, have no enduring email service relationship
with the user, but users occasionally request that mail be sent on
their behalf. For example, a website providing news often allows the
reader to forward a copy of the article to a friend. This is
typically done using the reader's own email address, to indicate who
the author is. This is sometimes referred to as the "Evite problem",
Allman, et al. Standards Track [Page 64]
^L
RFC 4871 DKIM Signatures May 2007
named after the website of the same name that allows a user to send
invitations to friends.
A common way this is handled is to continue to put the reader's email
address in the From header field of the message, but put an address
owned by the email posting site into the Sender header field. The
posting site can then sign the message, using the domain that is in
the Sender field. This provides useful information to the receiving
email site, which is able to correlate the signing domain with the
initial submission email role.
Receiving sites often wish to provide their end users with
information about mail that is mediated in this fashion. Although
the real efficacy of different approaches is a subject for human
factors usability research, one technique that is used is for the
verifying system to rewrite the From header field, to indicate the
address that was verified. For example: From: John Doe via
news@news-site.com <jdoe@example.com>. (Note that such rewriting
will break a signature, unless it is done after the verification pass
is complete.)
B.2. Alternate Delivery Scenarios
Email is often received at a mailbox that has an address different
from the one used during initial submission. In these cases, an
intermediary mechanism operates at the address originally used and it
then passes the message on to the final destination. This mediation
process presents some challenges for DKIM signatures.
B.2.1. Affinity Addresses
"Affinity addresses" allow a user to have an email address that
remains stable, even as the user moves among different email
providers. They are typically associated with college alumni
associations, professional organizations, and recreational
organizations with which they expect to have a long-term
relationship. These domains usually provide forwarding of incoming
email, and they often have an associated Web application that
authenticates the user and allows the forwarding address to be
changed. However, these services usually depend on users sending
outgoing messages through their own service providers' MTAs. Hence,
mail that is signed with the domain of the affinity address is not
signed by an entity that is administered by the organization owning
that domain.
With DKIM, affinity domains could use the Web application to allow
users to register per-user keys to be used to sign messages on behalf
of their affinity address. The user would take away the secret half
Allman, et al. Standards Track [Page 65]
^L
RFC 4871 DKIM Signatures May 2007
of the key pair for signing, and the affinity domain would publish
the public half in DNS for access by verifiers.
This is another application that takes advantage of user-level
keying, and domains used for affinity addresses would typically have
a very large number of user-level keys. Alternatively, the affinity
domain could handle outgoing mail, operating a mail submission agent
that authenticates users before accepting and signing messages for
them. This is of course dependent on the user's service provider not
blocking the relevant TCP ports used for mail submission.
B.2.2. Simple Address Aliasing (.forward)
In some cases, a recipient is allowed to configure an email address
to cause automatic redirection of email messages from the original
address to another, such as through the use of a Unix .forward file.
In this case, messages are typically redirected by the mail handling
service of the recipient's domain, without modification, except for
the addition of a Received header field to the message and a change
in the envelope recipient address. In this case, the recipient at
the final address' mailbox is likely to be able to verify the
original signature since the signed content has not changed, and DKIM
is able to validate the message signature.
B.2.3. Mailing Lists and Re-Posters
There is a wide range of behaviors in services that take delivery of
a message and then resubmit it. A primary example is with mailing
lists (collectively called "forwarders" below), ranging from those
that make no modification to the message itself, other than to add a
Received header field and change the envelope information, to those
that add header fields, change the Subject header field, add content
to the body (typically at the end), or reformat the body in some
manner. The simple ones produce messages that are quite similar to
the automated alias services. More elaborate systems essentially
create a new message.
A Forwarder that does not modify the body or signed header fields of
a message is likely to maintain the validity of the existing
signature. It also could choose to add its own signature to the
message.
Forwarders which modify a message in a way that could make an
existing signature invalid are particularly good candidates for
adding their own signatures (e.g., mailing-list-name@example.net).
Since (re-)signing is taking responsibility for the content of the
message, these signing forwarders are likely to be selective, and
forward or re-sign a message only if it is received with a valid
Allman, et al. Standards Track [Page 66]
^L
RFC 4871 DKIM Signatures May 2007
signature or if they have some other basis for knowing that the
message is not spoofed.
A common practice among systems that are primarily redistributors of
mail is to add a Sender header field to the message, to identify the
address being used to sign the message. This practice will remove
any preexisting Sender header field as required by [RFC2822]. The
forwarder applies a new DKIM-Signature header field with the
signature, public key, and related information of the forwarder.
Appendix C. Creating a Public Key (INFORMATIVE)
The default signature is an RSA signed SHA256 digest of the complete
email. For ease of explanation, the openssl command is used to
describe the mechanism by which keys and signatures are managed. One
way to generate a 1024-bit, unencrypted private key suitable for DKIM
is to use openssl like this:
$ openssl genrsa -out rsa.private 1024
For increased security, the "-passin" parameter can also be added to
encrypt the private key. Use of this parameter will require entering
a password for several of the following steps. Servers may prefer to
use hardware cryptographic support.
The "genrsa" step results in the file rsa.private containing the key
information similar to this:
-----BEGIN RSA PRIVATE KEY-----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-----END RSA PRIVATE KEY-----
To extract the public-key component from the private key, use openssl
like this:
$ openssl rsa -in rsa.private -out rsa.public -pubout -outform PEM
Allman, et al. Standards Track [Page 67]
^L
RFC 4871 DKIM Signatures May 2007
This results in the file rsa.public containing the key information
similar to this:
-----BEGIN PUBLIC KEY-----
MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQDwIRP/UC3SBsEmGqZ9ZJW3/DkM
oGeLnQg1fWn7/zYtIxN2SnFCjxOCKG9v3b4jYfcTNh5ijSsq631uBItLa7od+v/R
tdC2UzJ1lWT947qR+Rcac2gbto/NMqJ0fzfVjH4OuKhitdY9tf6mcwGjaNBcWToI
MmPSPDdQPNUYckcQ2QIDAQAB
-----END PUBLIC KEY-----
This public-key data (without the BEGIN and END tags) is placed in
the DNS:
brisbane IN TXT ("v=DKIM1; p=MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQ"
"KBgQDwIRP/UC3SBsEmGqZ9ZJW3/DkMoGeLnQg1fWn7/zYt"
"IxN2SnFCjxOCKG9v3b4jYfcTNh5ijSsq631uBItLa7od+v"
"/RtdC2UzJ1lWT947qR+Rcac2gbto/NMqJ0fzfVjH4OuKhi"
"tdY9tf6mcwGjaNBcWToIMmPSPDdQPNUYckcQ2QIDAQAB")
Appendix D. MUA Considerations
When a DKIM signature is verified, the processing system sometimes
makes the result available to the recipient user's MUA. How to
present this information to the user in a way that helps them is a
matter of continuing human factors usability research. The tendency
is to have the MUA highlight the address associated with this signing
identity in some way, in an attempt to show the user the address from
which the mail was sent. An MUA might do this with visual cues such
as graphics, or it might include the address in an alternate view, or
it might even rewrite the original From address using the verified
information. Some MUAs might indicate which header fields were
protected by the validated DKIM signature. This could be done with a
positive indication on the signed header fields, with a negative
indication on the unsigned header fields, by visually hiding the
unsigned header fields, or some combination of these. If an MUA uses
visual indications for signed header fields, the MUA probably needs
to be careful not to display unsigned header fields in a way that
might be construed by the end user as having been signed. If the
message has an l= tag whose value does not extend to the end of the
message, the MUA might also hide or mark the portion of the message
body that was not signed.
The aforementioned information is not intended to be exhaustive. The
MUA may choose to highlight, accentuate, hide, or otherwise display
any other information that may, in the opinion of the MUA author, be
deemed important to the end user.
Allman, et al. Standards Track [Page 68]
^L
RFC 4871 DKIM Signatures May 2007
Appendix E. Acknowledgements
The authors wish to thank Russ Allbery, Edwin Aoki, Claus Assmann,
Steve Atkins, Rob Austein, Fred Baker, Mark Baugher, Steve Bellovin,
Nathaniel Borenstein, Dave Crocker, Michael Cudahy, Dennis Dayman,
Jutta Degener, Frank Ellermann, Patrik Faeltstroem, Mark Fanto,
Stephen Farrell, Duncan Findlay, Elliot Gillum, Olafur
Gu[eth]mundsson, Phillip Hallam-Baker, Tony Hansen, Sam Hartman,
Arvel Hathcock, Amir Herzberg, Paul Hoffman, Russ Housley, Craig
Hughes, Cullen Jennings, Don Johnsen, Harry Katz, Murray S.
Kucherawy, Barry Leiba, John Levine, Charles Lindsey, Simon
Longsdale, David Margrave, Justin Mason, David Mayne, Thierry Moreau,
Steve Murphy, Russell Nelson, Dave Oran, Doug Otis, Shamim Pirzada,
Juan Altmayer Pizzorno, Sanjay Pol, Blake Ramsdell, Christian Renaud,
Scott Renfro, Neil Rerup, Eric Rescorla, Dave Rossetti, Hector
Santos, Jim Schaad, the Spamhaus.org team, Malte S. Stretz, Robert
Sanders, Rand Wacker, Sam Weiler, and Dan Wing for their valuable
suggestions and constructive criticism.
The DomainKeys specification was a primary source from which this
specification has been derived. Further information about DomainKeys
is at [RFC4870].
Authors' Addresses
Eric Allman
Sendmail, Inc.
6425 Christie Ave, Suite 400
Emeryville, CA 94608
USA
Phone: +1 510 594 5501
EMail: eric+dkim@sendmail.org
URI:
Jon Callas
PGP Corporation
3460 West Bayshore
Palo Alto, CA 94303
USA
Phone: +1 650 319 9016
EMail: jon@pgp.com
Allman, et al. Standards Track [Page 69]
^L
RFC 4871 DKIM Signatures May 2007
Mark Delany
Yahoo! Inc
701 First Avenue
Sunnyvale, CA 95087
USA
Phone: +1 408 349 6831
EMail: markd+dkim@yahoo-inc.com
URI:
Miles Libbey
Yahoo! Inc
701 First Avenue
Sunnyvale, CA 95087
USA
EMail: mlibbeymail-mailsig@yahoo.com
URI:
Jim Fenton
Cisco Systems, Inc.
MS SJ-9/2
170 W. Tasman Drive
San Jose, CA 95134-1706
USA
Phone: +1 408 526 5914
EMail: fenton@cisco.com
URI:
Michael Thomas
Cisco Systems, Inc.
MS SJ-9/2
170 W. Tasman Drive
San Jose, CA 95134-1706
Phone: +1 408 525 5386
EMail: mat@cisco.com
Allman, et al. Standards Track [Page 70]
^L
RFC 4871 DKIM Signatures May 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.
Acknowledgement
Funding for the RFC Editor function is currently provided by the
Internet Society.
Allman, et al. Standards Track [Page 71]
^L
|