3 * The DSA publickey algorithm.
6 /* nettle, low-level cryptographics library
8 * Copyright (C) 2002, 2003 Niels Möller
10 * The nettle library is free software; you can redistribute it and/or modify
11 * it under the terms of the GNU Lesser General Public License as published by
12 * the Free Software Foundation; either version 2.1 of the License, or (at your
13 * option) any later version.
15 * The nettle library is distributed in the hope that it will be useful, but
16 * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
17 * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
18 * License for more details.
20 * You should have received a copy of the GNU Lesser General Public License
21 * along with the nettle library; see the file COPYING.LIB. If not, write to
22 * the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
37 _dsa_verify(const struct dsa_public_key
*key
,
39 const uint8_t *digest
,
40 const struct dsa_signature
*signature
)
48 if (mpz_sizeinbase(key
->q
, 2) != 8 * digest_size
)
51 /* Check that r and s are in the proper range */
52 if (mpz_sgn(signature
->r
) <= 0 || mpz_cmp(signature
->r
, key
->q
) >= 0)
55 if (mpz_sgn(signature
->s
) <= 0 || mpz_cmp(signature
->s
, key
->q
) >= 0)
60 /* Compute w = s^-1 (mod q) */
62 /* NOTE: In gmp-2, mpz_invert sometimes generates negative inverses,
63 * so we need gmp-3 or better. */
64 if (!mpz_invert(w
, signature
->s
, key
->q
))
73 /* The message digest */
74 nettle_mpz_set_str_256_u(tmp
, digest_size
, digest
);
76 /* v = g^{w * h (mod q)} (mod p) */
78 mpz_fdiv_r(tmp
, tmp
, key
->q
);
80 mpz_powm(v
, key
->g
, tmp
, key
->p
);
82 /* y^{w * r (mod q) } (mod p) */
83 mpz_mul(tmp
, signature
->r
, w
);
84 mpz_fdiv_r(tmp
, tmp
, key
->q
);
86 mpz_powm(tmp
, key
->y
, tmp
, key
->p
);
88 /* v = (g^{w * h} * y^{w * r} (mod p) ) (mod q) */
90 mpz_fdiv_r(v
, v
, key
->p
);
92 mpz_fdiv_r(v
, v
, key
->q
);
94 res
= !mpz_cmp(v
, signature
->r
);