123 lines
2.6 KiB
Text
123 lines
2.6 KiB
Text
|
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
|