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| 1 The origional FIPE 180 used SHA-0 (FIPS 180) for its appendix 5 | |
| 2 examples. This is an updated version that uses SHA-1 (FIPS 180-1) | |
| 3 supplied to me by Wei Dai | |
| 4 -- | |
| 5 APPENDIX 5. EXAMPLE OF THE DSA | |
| 6 | |
| 7 | |
| 8 This appendix is for informational purposes only and is not required to meet | |
| 9 the standard. | |
| 10 | |
| 11 Let L = 512 (size of p). The values in this example are expressed in | |
| 12 hexadecimal notation. The p and q given here were generated by the prime | |
| 13 generation standard described in appendix 2 using the 160-bit SEED: | |
| 14 | |
| 15 d5014e4b 60ef2ba8 b6211b40 62ba3224 e0427dd3 | |
| 16 | |
| 17 With this SEED, the algorithm found p and q when the counter was at 105. | |
| 18 | |
| 19 x was generated by the algorithm described in appendix 3, section 3.1, using | |
| 20 the SHA to construct G (as in appendix 3, section 3.3) and a 160-bit XSEED: | |
| 21 | |
| 22 XSEED = | |
| 23 | |
| 24 bd029bbe 7f51960b cf9edb2b 61f06f0f eb5a38b6 | |
| 25 | |
| 26 t = | |
| 27 67452301 EFCDAB89 98BADCFE 10325476 C3D2E1F0 | |
| 28 | |
| 29 x = G(t,XSEED) mod q | |
| 30 | |
| 31 k was generated by the algorithm described in appendix 3, section 3.2, using | |
| 32 the SHA to construct G (as in appendix 3, section 3.3) and a 160-bit KSEED: | |
| 33 | |
| 34 KSEED = | |
| 35 | |
| 36 687a66d9 0648f993 867e121f 4ddf9ddb 01205584 | |
| 37 | |
| 38 t = | |
| 39 EFCDAB89 98BADCFE 10325476 C3D2E1F0 67452301 | |
| 40 | |
| 41 k = G(t,KSEED) mod q | |
| 42 | |
| 43 Finally: | |
| 44 | |
| 45 h = 2 | |
| 46 | |
| 47 p = | |
| 48 8df2a494 492276aa 3d25759b b06869cb eac0d83a fb8d0cf7 | |
| 49 cbb8324f 0d7882e5 d0762fc5 b7210eaf c2e9adac 32ab7aac | |
| 50 49693dfb f83724c2 ec0736ee 31c80291 | |
| 51 | |
| 52 | |
| 53 q = | |
| 54 c773218c 737ec8ee 993b4f2d ed30f48e dace915f | |
| 55 | |
| 56 | |
| 57 g = | |
| 58 626d0278 39ea0a13 413163a5 5b4cb500 299d5522 956cefcb | |
| 59 3bff10f3 99ce2c2e 71cb9de5 fa24babf 58e5b795 21925c9c | |
| 60 c42e9f6f 464b088c c572af53 e6d78802 | |
| 61 | |
| 62 | |
| 63 x = | |
| 64 2070b322 3dba372f de1c0ffc 7b2e3b49 8b260614 | |
| 65 | |
| 66 | |
| 67 k = | |
| 68 358dad57 1462710f 50e254cf 1a376b2b deaadfbf | |
| 69 | |
| 70 | |
| 71 kinv = | |
| 72 | |
| 73 0d516729 8202e49b 4116ac10 4fc3f415 ae52f917 | |
| 74 | |
| 75 M = ASCII form of "abc" (See FIPS PUB 180-1, Appendix A) | |
| 76 | |
| 77 SHA(M) = | |
| 78 | |
| 79 a9993e36 4706816a ba3e2571 7850c26c 9cd0d89d | |
| 80 | |
| 81 | |
| 82 y = | |
| 83 | |
| 84 19131871 d75b1612 a819f29d 78d1b0d7 346f7aa7 7bb62a85 | |
| 85 9bfd6c56 75da9d21 2d3a36ef 1672ef66 0b8c7c25 5cc0ec74 | |
| 86 858fba33 f44c0669 9630a76b 030ee333 | |
| 87 | |
| 88 | |
| 89 r = | |
| 90 8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0 | |
| 91 | |
| 92 s = | |
| 93 41e2345f 1f56df24 58f426d1 55b4ba2d b6dcd8c8 | |
| 94 | |
| 95 | |
| 96 w = | |
| 97 9df4ece5 826be95f ed406d41 b43edc0b 1c18841b | |
| 98 | |
| 99 | |
| 100 u1 = | |
| 101 bf655bd0 46f0b35e c791b004 804afcbb 8ef7d69d | |
| 102 | |
| 103 | |
| 104 u2 = | |
| 105 821a9263 12e97ade abcc8d08 2b527897 8a2df4b0 | |
| 106 | |
| 107 | |
| 108 gu1 mod p = | |
| 109 | |
| 110 51b1bf86 7888e5f3 af6fb476 9dd016bc fe667a65 aafc2753 | |
| 111 9063bd3d 2b138b4c e02cc0c0 2ec62bb6 7306c63e 4db95bbf | |
| 112 6f96662a 1987a21b e4ec1071 010b6069 | |
| 113 | |
| 114 | |
| 115 yu2 mod p = | |
| 116 | |
| 117 8b510071 2957e950 50d6b8fd 376a668e 4b0d633c 1e46e665 | |
| 118 5c611a72 e2b28483 be52c74d 4b30de61 a668966e dc307a67 | |
| 119 c19441f4 22bf3c34 08aeba1f 0a4dbec7 | |
| 120 | |
| 121 v = | |
| 122 8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0 | |
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Issue 2072073002:
Delete bundled copy of OpenSSL and replace with README. (Closed)
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