xref: /onnv-gate/usr/src/common/openssl/crypto/dsa/fips186a.txt (revision 0:68f95e015346)
1*0Sstevel@tonic-gateThe origional FIPE 180 used SHA-0 (FIPS 180) for its appendix 5
2*0Sstevel@tonic-gateexamples.  This is an updated version that uses SHA-1 (FIPS 180-1)
3*0Sstevel@tonic-gatesupplied to me by Wei Dai
4*0Sstevel@tonic-gate--
5*0Sstevel@tonic-gate		     APPENDIX 5. EXAMPLE OF THE DSA
6*0Sstevel@tonic-gate
7*0Sstevel@tonic-gate
8*0Sstevel@tonic-gateThis appendix is for informational purposes only and is not required to meet
9*0Sstevel@tonic-gatethe standard.
10*0Sstevel@tonic-gate
11*0Sstevel@tonic-gateLet L = 512 (size of p).  The values in this example are expressed in
12*0Sstevel@tonic-gatehexadecimal notation.  The p and q given here were generated by the prime
13*0Sstevel@tonic-gategeneration standard described in appendix 2 using the 160-bit SEED:
14*0Sstevel@tonic-gate
15*0Sstevel@tonic-gate          d5014e4b 60ef2ba8 b6211b40 62ba3224 e0427dd3
16*0Sstevel@tonic-gate
17*0Sstevel@tonic-gateWith this SEED, the algorithm found p and q when the counter was at 105.
18*0Sstevel@tonic-gate
19*0Sstevel@tonic-gatex was generated by the algorithm described in appendix 3, section 3.1, using
20*0Sstevel@tonic-gatethe SHA to construct G (as in appendix 3, section 3.3) and a 160-bit XSEED:
21*0Sstevel@tonic-gate
22*0Sstevel@tonic-gateXSEED =
23*0Sstevel@tonic-gate
24*0Sstevel@tonic-gate	bd029bbe 7f51960b cf9edb2b 61f06f0f eb5a38b6
25*0Sstevel@tonic-gate
26*0Sstevel@tonic-gatet =
27*0Sstevel@tonic-gate	67452301 EFCDAB89 98BADCFE 10325476 C3D2E1F0
28*0Sstevel@tonic-gate
29*0Sstevel@tonic-gatex = G(t,XSEED) mod q
30*0Sstevel@tonic-gate
31*0Sstevel@tonic-gatek was generated by the algorithm described in appendix 3, section 3.2, using
32*0Sstevel@tonic-gatethe SHA to construct G (as in appendix 3, section 3.3) and a 160-bit KSEED:
33*0Sstevel@tonic-gate
34*0Sstevel@tonic-gateKSEED =
35*0Sstevel@tonic-gate
36*0Sstevel@tonic-gate	687a66d9 0648f993 867e121f 4ddf9ddb 01205584
37*0Sstevel@tonic-gate
38*0Sstevel@tonic-gatet =
39*0Sstevel@tonic-gate	EFCDAB89 98BADCFE 10325476 C3D2E1F0 67452301
40*0Sstevel@tonic-gate
41*0Sstevel@tonic-gatek = G(t,KSEED) mod q
42*0Sstevel@tonic-gate
43*0Sstevel@tonic-gateFinally:
44*0Sstevel@tonic-gate
45*0Sstevel@tonic-gateh = 2
46*0Sstevel@tonic-gate
47*0Sstevel@tonic-gatep =
48*0Sstevel@tonic-gate	8df2a494 492276aa 3d25759b b06869cb eac0d83a fb8d0cf7
49*0Sstevel@tonic-gate	cbb8324f 0d7882e5 d0762fc5 b7210eaf c2e9adac 32ab7aac
50*0Sstevel@tonic-gate	49693dfb f83724c2 ec0736ee 31c80291
51*0Sstevel@tonic-gate
52*0Sstevel@tonic-gate
53*0Sstevel@tonic-gateq =
54*0Sstevel@tonic-gate	c773218c 737ec8ee 993b4f2d ed30f48e dace915f
55*0Sstevel@tonic-gate
56*0Sstevel@tonic-gate
57*0Sstevel@tonic-gateg =
58*0Sstevel@tonic-gate	626d0278 39ea0a13 413163a5 5b4cb500 299d5522 956cefcb
59*0Sstevel@tonic-gate	3bff10f3 99ce2c2e 71cb9de5 fa24babf 58e5b795 21925c9c
60*0Sstevel@tonic-gate	c42e9f6f 464b088c c572af53 e6d78802
61*0Sstevel@tonic-gate
62*0Sstevel@tonic-gate
63*0Sstevel@tonic-gatex =
64*0Sstevel@tonic-gate	2070b322 3dba372f de1c0ffc 7b2e3b49 8b260614
65*0Sstevel@tonic-gate
66*0Sstevel@tonic-gate
67*0Sstevel@tonic-gatek =
68*0Sstevel@tonic-gate	358dad57 1462710f 50e254cf 1a376b2b deaadfbf
69*0Sstevel@tonic-gate
70*0Sstevel@tonic-gate
71*0Sstevel@tonic-gatekinv =
72*0Sstevel@tonic-gate
73*0Sstevel@tonic-gate	0d516729 8202e49b 4116ac10 4fc3f415 ae52f917
74*0Sstevel@tonic-gate
75*0Sstevel@tonic-gateM = ASCII form of "abc" (See FIPS PUB 180-1, Appendix A)
76*0Sstevel@tonic-gate
77*0Sstevel@tonic-gateSHA(M) =
78*0Sstevel@tonic-gate
79*0Sstevel@tonic-gate	a9993e36 4706816a ba3e2571 7850c26c 9cd0d89d
80*0Sstevel@tonic-gate
81*0Sstevel@tonic-gate
82*0Sstevel@tonic-gatey =
83*0Sstevel@tonic-gate
84*0Sstevel@tonic-gate	19131871 d75b1612 a819f29d 78d1b0d7 346f7aa7 7bb62a85
85*0Sstevel@tonic-gate	9bfd6c56 75da9d21 2d3a36ef 1672ef66 0b8c7c25 5cc0ec74
86*0Sstevel@tonic-gate	858fba33 f44c0669 9630a76b 030ee333
87*0Sstevel@tonic-gate
88*0Sstevel@tonic-gate
89*0Sstevel@tonic-gater =
90*0Sstevel@tonic-gate	8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0
91*0Sstevel@tonic-gate
92*0Sstevel@tonic-gates =
93*0Sstevel@tonic-gate	41e2345f 1f56df24 58f426d1 55b4ba2d b6dcd8c8
94*0Sstevel@tonic-gate
95*0Sstevel@tonic-gate
96*0Sstevel@tonic-gatew =
97*0Sstevel@tonic-gate	9df4ece5 826be95f ed406d41 b43edc0b 1c18841b
98*0Sstevel@tonic-gate
99*0Sstevel@tonic-gate
100*0Sstevel@tonic-gateu1 =
101*0Sstevel@tonic-gate	bf655bd0 46f0b35e c791b004 804afcbb 8ef7d69d
102*0Sstevel@tonic-gate
103*0Sstevel@tonic-gate
104*0Sstevel@tonic-gateu2 =
105*0Sstevel@tonic-gate	821a9263 12e97ade abcc8d08 2b527897 8a2df4b0
106*0Sstevel@tonic-gate
107*0Sstevel@tonic-gate
108*0Sstevel@tonic-gategu1 mod p =
109*0Sstevel@tonic-gate
110*0Sstevel@tonic-gate	51b1bf86 7888e5f3 af6fb476 9dd016bc fe667a65 aafc2753
111*0Sstevel@tonic-gate	9063bd3d 2b138b4c e02cc0c0 2ec62bb6 7306c63e 4db95bbf
112*0Sstevel@tonic-gate	6f96662a 1987a21b e4ec1071 010b6069
113*0Sstevel@tonic-gate
114*0Sstevel@tonic-gate
115*0Sstevel@tonic-gateyu2 mod p =
116*0Sstevel@tonic-gate
117*0Sstevel@tonic-gate	8b510071 2957e950 50d6b8fd 376a668e 4b0d633c 1e46e665
118*0Sstevel@tonic-gate	5c611a72 e2b28483 be52c74d 4b30de61 a668966e dc307a67
119*0Sstevel@tonic-gate	c19441f4 22bf3c34 08aeba1f 0a4dbec7
120*0Sstevel@tonic-gate
121*0Sstevel@tonic-gatev =
122*0Sstevel@tonic-gate	8bac1ab6 6410435c b7181f95 b16ab97c 92b341c0
123