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authorArne Schwabe <arne@rfc2549.org>2012-04-16 19:21:14 +0200
committerArne Schwabe <arne@rfc2549.org>2012-04-16 19:21:14 +0200
commit3e4d8f433239c40311037616b1b8833a06651ae0 (patch)
tree98ab7fce0d011d34677b0beb762d389cb5c39199 /openssl/crypto/dsa/fips186a.txt
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+The origional FIPE 180 used SHA-0 (FIPS 180) for its appendix 5
+examples. This is an updated version that uses SHA-1 (FIPS 180-1)
+supplied to me by Wei Dai
+--
+ APPENDIX 5. EXAMPLE OF THE DSA
+
+
+This appendix is for informational purposes only and is not required to meet
+the standard.
+
+Let L = 512 (size of p). The values in this example are expressed in
+hexadecimal notation. The p and q given here were generated by the prime
+generation standard described in appendix 2 using the 160-bit SEED:
+
+ d5014e4b 60ef2ba8 b6211b40 62ba3224 e0427dd3
+
+With this SEED, the algorithm found p and q when the counter was at 105.
+
+x was generated by the algorithm described in appendix 3, section 3.1, using
+the SHA to construct G (as in appendix 3, section 3.3) and a 160-bit XSEED:
+
+XSEED =
+
+ bd029bbe 7f51960b cf9edb2b 61f06f0f eb5a38b6
+
+t =
+ 67452301 EFCDAB89 98BADCFE 10325476 C3D2E1F0
+
+x = G(t,XSEED) mod q
+
+k was generated by the algorithm described in appendix 3, section 3.2, using
+the SHA to construct G (as in appendix 3, section 3.3) and a 160-bit KSEED:
+
+KSEED =
+
+ 687a66d9 0648f993 867e121f 4ddf9ddb 01205584
+
+t =
+ EFCDAB89 98BADCFE 10325476 C3D2E1F0 67452301
+
+k = G(t,KSEED) mod q
+
+Finally:
+
+h = 2
+
+p =
+ 8df2a494 492276aa 3d25759b b06869cb eac0d83a fb8d0cf7
+ cbb8324f 0d7882e5 d0762fc5 b7210eaf c2e9adac 32ab7aac
+ 49693dfb f83724c2 ec0736ee 31c80291
+
+
+q =
+ c773218c 737ec8ee 993b4f2d ed30f48e dace915f
+
+
+g =
+ 626d0278 39ea0a13 413163a5 5b4cb500 299d5522 956cefcb
+ 3bff10f3 99ce2c2e 71cb9de5 fa24babf 58e5b795 21925c9c
+ c42e9f6f 464b088c c572af53 e6d78802
+
+
+x =
+ 2070b322 3dba372f de1c0ffc 7b2e3b49 8b260614
+
+
+k =
+ 358dad57 1462710f 50e254cf 1a376b2b deaadfbf
+
+
+kinv =
+
+ 0d516729 8202e49b 4116ac10 4fc3f415 ae52f917
+
+M = ASCII form of "abc" (See FIPS PUB 180-1, Appendix A)
+
+SHA(M) =
+
+ a9993e36 4706816a ba3e2571 7850c26c 9cd0d89d
+
+
+y =
+
+ 19131871 d75b1612 a819f29d 78d1b0d7 346f7aa7 7bb62a85
+ 9bfd6c56 75da9d21 2d3a36ef 1672ef66 0b8c7c25 5cc0ec74
+ 858fba33 f44c0669 9630a76b 030ee333
+
+
+r =
+ 8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0
+
+s =
+ 41e2345f 1f56df24 58f426d1 55b4ba2d b6dcd8c8
+
+
+w =
+ 9df4ece5 826be95f ed406d41 b43edc0b 1c18841b
+
+
+u1 =
+ bf655bd0 46f0b35e c791b004 804afcbb 8ef7d69d
+
+
+u2 =
+ 821a9263 12e97ade abcc8d08 2b527897 8a2df4b0
+
+
+gu1 mod p =
+
+ 51b1bf86 7888e5f3 af6fb476 9dd016bc fe667a65 aafc2753
+ 9063bd3d 2b138b4c e02cc0c0 2ec62bb6 7306c63e 4db95bbf
+ 6f96662a 1987a21b e4ec1071 010b6069
+
+
+yu2 mod p =
+
+ 8b510071 2957e950 50d6b8fd 376a668e 4b0d633c 1e46e665
+ 5c611a72 e2b28483 be52c74d 4b30de61 a668966e dc307a67
+ c19441f4 22bf3c34 08aeba1f 0a4dbec7
+
+v =
+ 8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0