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123 lines
2.6 KiB
Plaintext
123 lines
2.6 KiB
Plaintext
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The origional FIPE 180 used SHA-0 (FIPS 180) for its appendix 5
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examples. This is an updated version that uses SHA-1 (FIPS 180-1)
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supplied to me by Wei Dai
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--
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APPENDIX 5. EXAMPLE OF THE DSA
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This appendix is for informational purposes only and is not required to meet
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the standard.
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Let L = 512 (size of p). The values in this example are expressed in
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hexadecimal notation. The p and q given here were generated by the prime
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generation standard described in appendix 2 using the 160-bit SEED:
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d5014e4b 60ef2ba8 b6211b40 62ba3224 e0427dd3
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With this SEED, the algorithm found p and q when the counter was at 105.
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x was generated by the algorithm described in appendix 3, section 3.1, using
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the SHA to construct G (as in appendix 3, section 3.3) and a 160-bit XSEED:
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XSEED =
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bd029bbe 7f51960b cf9edb2b 61f06f0f eb5a38b6
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t =
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67452301 EFCDAB89 98BADCFE 10325476 C3D2E1F0
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x = G(t,XSEED) mod q
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k was generated by the algorithm described in appendix 3, section 3.2, using
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the SHA to construct G (as in appendix 3, section 3.3) and a 160-bit KSEED:
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KSEED =
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687a66d9 0648f993 867e121f 4ddf9ddb 01205584
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t =
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EFCDAB89 98BADCFE 10325476 C3D2E1F0 67452301
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k = G(t,KSEED) mod q
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Finally:
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h = 2
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p =
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8df2a494 492276aa 3d25759b b06869cb eac0d83a fb8d0cf7
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cbb8324f 0d7882e5 d0762fc5 b7210eaf c2e9adac 32ab7aac
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49693dfb f83724c2 ec0736ee 31c80291
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q =
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c773218c 737ec8ee 993b4f2d ed30f48e dace915f
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g =
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626d0278 39ea0a13 413163a5 5b4cb500 299d5522 956cefcb
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3bff10f3 99ce2c2e 71cb9de5 fa24babf 58e5b795 21925c9c
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c42e9f6f 464b088c c572af53 e6d78802
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x =
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2070b322 3dba372f de1c0ffc 7b2e3b49 8b260614
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k =
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358dad57 1462710f 50e254cf 1a376b2b deaadfbf
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kinv =
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0d516729 8202e49b 4116ac10 4fc3f415 ae52f917
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M = ASCII form of "abc" (See FIPS PUB 180-1, Appendix A)
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SHA(M) =
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a9993e36 4706816a ba3e2571 7850c26c 9cd0d89d
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y =
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19131871 d75b1612 a819f29d 78d1b0d7 346f7aa7 7bb62a85
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9bfd6c56 75da9d21 2d3a36ef 1672ef66 0b8c7c25 5cc0ec74
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858fba33 f44c0669 9630a76b 030ee333
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r =
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8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0
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s =
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41e2345f 1f56df24 58f426d1 55b4ba2d b6dcd8c8
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w =
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9df4ece5 826be95f ed406d41 b43edc0b 1c18841b
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u1 =
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bf655bd0 46f0b35e c791b004 804afcbb 8ef7d69d
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u2 =
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821a9263 12e97ade abcc8d08 2b527897 8a2df4b0
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gu1 mod p =
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51b1bf86 7888e5f3 af6fb476 9dd016bc fe667a65 aafc2753
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9063bd3d 2b138b4c e02cc0c0 2ec62bb6 7306c63e 4db95bbf
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6f96662a 1987a21b e4ec1071 010b6069
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yu2 mod p =
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8b510071 2957e950 50d6b8fd 376a668e 4b0d633c 1e46e665
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5c611a72 e2b28483 be52c74d 4b30de61 a668966e dc307a67
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c19441f4 22bf3c34 08aeba1f 0a4dbec7
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v =
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8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0
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