1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
|
/* dsa-verify.c
The DSA publickey algorithm.
Copyright (C) 2002, 2003 Niels Möller
This file is part of GNU Nettle.
GNU Nettle is free software: you can redistribute it and/or
modify it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free
Software Foundation; either version 2 of the License, or (at your
option) any later version.
or both in parallel, as here.
GNU Nettle is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License for more details.
You should have received copies of the GNU General Public License and
the GNU Lesser General Public License along with this program. If
not, see http://www.gnu.org/licenses/.
*/
#if HAVE_CONFIG_H
# include "config.h"
#endif
#include <stdlib.h>
#include "dsa.h"
#include "dsa-internal.h"
#include "bignum.h"
int
dsa_verify(const struct dsa_params *params,
const mpz_t y,
size_t digest_size,
const uint8_t *digest,
const struct dsa_signature *signature)
{
mpz_t w;
mpz_t tmp;
mpz_t v;
int res;
/* Check that r and s are in the proper range */
if (mpz_sgn(signature->r) <= 0 || mpz_cmp(signature->r, params->q) >= 0)
return 0;
if (mpz_sgn(signature->s) <= 0 || mpz_cmp(signature->s, params->q) >= 0)
return 0;
mpz_init(w);
/* Compute w = s^-1 (mod q) */
/* NOTE: In gmp-2, mpz_invert sometimes generates negative inverses,
* so we need gmp-3 or better. */
if (!mpz_invert(w, signature->s, params->q))
{
mpz_clear(w);
return 0;
}
mpz_init(tmp);
mpz_init(v);
/* The message digest */
_nettle_dsa_hash (tmp, mpz_sizeinbase (params->q, 2), digest_size, digest);
/* v = g^{w * h (mod q)} (mod p) */
mpz_mul(tmp, tmp, w);
mpz_fdiv_r(tmp, tmp, params->q);
mpz_powm(v, params->g, tmp, params->p);
/* y^{w * r (mod q) } (mod p) */
mpz_mul(tmp, signature->r, w);
mpz_fdiv_r(tmp, tmp, params->q);
mpz_powm(tmp, y, tmp, params->p);
/* v = (g^{w * h} * y^{w * r} (mod p) ) (mod q) */
mpz_mul(v, v, tmp);
mpz_fdiv_r(v, v, params->p);
mpz_fdiv_r(v, v, params->q);
res = !mpz_cmp(v, signature->r);
mpz_clear(w);
mpz_clear(tmp);
mpz_clear(v);
return res;
}
|
