1*1dcdf01fSchristos /*
2*1dcdf01fSchristos  * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
360662d10Schristos  *
4*1dcdf01fSchristos  * Licensed under the OpenSSL license (the "License").  You may not use
5*1dcdf01fSchristos  * this file except in compliance with the License.  You can obtain a copy
6*1dcdf01fSchristos  * in the file LICENSE in the source distribution or at
7*1dcdf01fSchristos  * https://www.openssl.org/source/license.html
860662d10Schristos  */
960662d10Schristos 
1060662d10Schristos #include <stdio.h>
11*1dcdf01fSchristos #include "internal/cryptlib.h"
12*1dcdf01fSchristos #include "crypto/bn.h"
1360662d10Schristos #include <openssl/bn.h>
1460662d10Schristos #include <openssl/sha.h>
15*1dcdf01fSchristos #include "dsa_local.h"
1660662d10Schristos #include <openssl/asn1.h>
1760662d10Schristos 
1860662d10Schristos static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa);
19*1dcdf01fSchristos static int dsa_sign_setup_no_digest(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp,
2060662d10Schristos                                     BIGNUM **rp);
21*1dcdf01fSchristos static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp,
22*1dcdf01fSchristos                           BIGNUM **rp, const unsigned char *dgst, int dlen);
2360662d10Schristos static int dsa_do_verify(const unsigned char *dgst, int dgst_len,
2460662d10Schristos                          DSA_SIG *sig, DSA *dsa);
2560662d10Schristos static int dsa_init(DSA *dsa);
2660662d10Schristos static int dsa_finish(DSA *dsa);
27*1dcdf01fSchristos static BIGNUM *dsa_mod_inverse_fermat(const BIGNUM *k, const BIGNUM *q,
28*1dcdf01fSchristos                                       BN_CTX *ctx);
2960662d10Schristos 
3060662d10Schristos static DSA_METHOD openssl_dsa_meth = {
3160662d10Schristos     "OpenSSL DSA method",
3260662d10Schristos     dsa_do_sign,
33*1dcdf01fSchristos     dsa_sign_setup_no_digest,
3460662d10Schristos     dsa_do_verify,
3560662d10Schristos     NULL,                       /* dsa_mod_exp, */
3660662d10Schristos     NULL,                       /* dsa_bn_mod_exp, */
3760662d10Schristos     dsa_init,
3860662d10Schristos     dsa_finish,
39*1dcdf01fSchristos     DSA_FLAG_FIPS_METHOD,
4060662d10Schristos     NULL,
4160662d10Schristos     NULL,
4260662d10Schristos     NULL
4360662d10Schristos };
4460662d10Schristos 
45*1dcdf01fSchristos static const DSA_METHOD *default_DSA_method = &openssl_dsa_meth;
4660662d10Schristos 
DSA_set_default_method(const DSA_METHOD * meth)47*1dcdf01fSchristos void DSA_set_default_method(const DSA_METHOD *meth)
48*1dcdf01fSchristos {
49*1dcdf01fSchristos     default_DSA_method = meth;
50*1dcdf01fSchristos }
51*1dcdf01fSchristos 
DSA_get_default_method(void)52*1dcdf01fSchristos const DSA_METHOD *DSA_get_default_method(void)
53*1dcdf01fSchristos {
54*1dcdf01fSchristos     return default_DSA_method;
55*1dcdf01fSchristos }
5660662d10Schristos 
DSA_OpenSSL(void)5760662d10Schristos const DSA_METHOD *DSA_OpenSSL(void)
5860662d10Schristos {
5960662d10Schristos     return &openssl_dsa_meth;
6060662d10Schristos }
6160662d10Schristos 
dsa_do_sign(const unsigned char * dgst,int dlen,DSA * dsa)6260662d10Schristos static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa)
6360662d10Schristos {
64*1dcdf01fSchristos     BIGNUM *kinv = NULL;
65*1dcdf01fSchristos     BIGNUM *m, *blind, *blindm, *tmp;
6660662d10Schristos     BN_CTX *ctx = NULL;
6760662d10Schristos     int reason = ERR_R_BN_LIB;
6860662d10Schristos     DSA_SIG *ret = NULL;
69*1dcdf01fSchristos     int rv = 0;
7060662d10Schristos 
71*1dcdf01fSchristos     if (dsa->p == NULL || dsa->q == NULL || dsa->g == NULL) {
7260662d10Schristos         reason = DSA_R_MISSING_PARAMETERS;
7360662d10Schristos         goto err;
7460662d10Schristos     }
75*1dcdf01fSchristos     if (dsa->priv_key == NULL) {
76*1dcdf01fSchristos         reason = DSA_R_MISSING_PRIVATE_KEY;
7760662d10Schristos         goto err;
78*1dcdf01fSchristos     }
79*1dcdf01fSchristos 
80*1dcdf01fSchristos     ret = DSA_SIG_new();
81*1dcdf01fSchristos     if (ret == NULL)
82*1dcdf01fSchristos         goto err;
83*1dcdf01fSchristos     ret->r = BN_new();
84*1dcdf01fSchristos     ret->s = BN_new();
85*1dcdf01fSchristos     if (ret->r == NULL || ret->s == NULL)
86*1dcdf01fSchristos         goto err;
87*1dcdf01fSchristos 
8860662d10Schristos     ctx = BN_CTX_new();
8960662d10Schristos     if (ctx == NULL)
9060662d10Schristos         goto err;
91*1dcdf01fSchristos     m = BN_CTX_get(ctx);
92*1dcdf01fSchristos     blind = BN_CTX_get(ctx);
93*1dcdf01fSchristos     blindm = BN_CTX_get(ctx);
94*1dcdf01fSchristos     tmp = BN_CTX_get(ctx);
95*1dcdf01fSchristos     if (tmp == NULL)
9660662d10Schristos         goto err;
97*1dcdf01fSchristos 
98*1dcdf01fSchristos  redo:
99*1dcdf01fSchristos     if (!dsa_sign_setup(dsa, ctx, &kinv, &ret->r, dgst, dlen))
100*1dcdf01fSchristos         goto err;
10160662d10Schristos 
10260662d10Schristos     if (dlen > BN_num_bytes(dsa->q))
10360662d10Schristos         /*
10460662d10Schristos          * if the digest length is greater than the size of q use the
10560662d10Schristos          * BN_num_bits(dsa->q) leftmost bits of the digest, see fips 186-3,
10660662d10Schristos          * 4.2
10760662d10Schristos          */
10860662d10Schristos         dlen = BN_num_bytes(dsa->q);
109*1dcdf01fSchristos     if (BN_bin2bn(dgst, dlen, m) == NULL)
11060662d10Schristos         goto err;
11160662d10Schristos 
112*1dcdf01fSchristos     /*
113*1dcdf01fSchristos      * The normal signature calculation is:
114*1dcdf01fSchristos      *
115*1dcdf01fSchristos      *   s := k^-1 * (m + r * priv_key) mod q
116*1dcdf01fSchristos      *
117*1dcdf01fSchristos      * We will blind this to protect against side channel attacks
118*1dcdf01fSchristos      *
119*1dcdf01fSchristos      *   s := blind^-1 * k^-1 * (blind * m + blind * r * priv_key) mod q
120*1dcdf01fSchristos      */
121*1dcdf01fSchristos 
122*1dcdf01fSchristos     /* Generate a blinding value */
123*1dcdf01fSchristos     do {
124*1dcdf01fSchristos         if (!BN_priv_rand(blind, BN_num_bits(dsa->q) - 1,
125*1dcdf01fSchristos                           BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY))
12660662d10Schristos             goto err;
127*1dcdf01fSchristos     } while (BN_is_zero(blind));
128*1dcdf01fSchristos     BN_set_flags(blind, BN_FLG_CONSTTIME);
129*1dcdf01fSchristos     BN_set_flags(blindm, BN_FLG_CONSTTIME);
130*1dcdf01fSchristos     BN_set_flags(tmp, BN_FLG_CONSTTIME);
131*1dcdf01fSchristos 
132*1dcdf01fSchristos     /* tmp := blind * priv_key * r mod q */
133*1dcdf01fSchristos     if (!BN_mod_mul(tmp, blind, dsa->priv_key, dsa->q, ctx))
134*1dcdf01fSchristos         goto err;
135*1dcdf01fSchristos     if (!BN_mod_mul(tmp, tmp, ret->r, dsa->q, ctx))
136*1dcdf01fSchristos         goto err;
137*1dcdf01fSchristos 
138*1dcdf01fSchristos     /* blindm := blind * m mod q */
139*1dcdf01fSchristos     if (!BN_mod_mul(blindm, blind, m, dsa->q, ctx))
140*1dcdf01fSchristos         goto err;
141*1dcdf01fSchristos 
142*1dcdf01fSchristos     /* s : = (blind * priv_key * r) + (blind * m) mod q */
143*1dcdf01fSchristos     if (!BN_mod_add_quick(ret->s, tmp, blindm, dsa->q))
144*1dcdf01fSchristos         goto err;
145*1dcdf01fSchristos 
146*1dcdf01fSchristos     /* s := s * k^-1 mod q */
147*1dcdf01fSchristos     if (!BN_mod_mul(ret->s, ret->s, kinv, dsa->q, ctx))
148*1dcdf01fSchristos         goto err;
149*1dcdf01fSchristos 
150*1dcdf01fSchristos     /* s:= s * blind^-1 mod q */
151*1dcdf01fSchristos     if (BN_mod_inverse(blind, blind, dsa->q, ctx) == NULL)
152*1dcdf01fSchristos         goto err;
153*1dcdf01fSchristos     if (!BN_mod_mul(ret->s, ret->s, blind, dsa->q, ctx))
15460662d10Schristos         goto err;
15560662d10Schristos 
15660662d10Schristos     /*
15760662d10Schristos      * Redo if r or s is zero as required by FIPS 186-3: this is very
15860662d10Schristos      * unlikely.
15960662d10Schristos      */
160*1dcdf01fSchristos     if (BN_is_zero(ret->r) || BN_is_zero(ret->s))
16160662d10Schristos         goto redo;
162*1dcdf01fSchristos 
163*1dcdf01fSchristos     rv = 1;
16460662d10Schristos 
16560662d10Schristos  err:
166*1dcdf01fSchristos     if (rv == 0) {
16760662d10Schristos         DSAerr(DSA_F_DSA_DO_SIGN, reason);
168*1dcdf01fSchristos         DSA_SIG_free(ret);
169*1dcdf01fSchristos         ret = NULL;
17060662d10Schristos     }
17160662d10Schristos     BN_CTX_free(ctx);
17260662d10Schristos     BN_clear_free(kinv);
173*1dcdf01fSchristos     return ret;
17460662d10Schristos }
17560662d10Schristos 
dsa_sign_setup_no_digest(DSA * dsa,BN_CTX * ctx_in,BIGNUM ** kinvp,BIGNUM ** rp)176*1dcdf01fSchristos static int dsa_sign_setup_no_digest(DSA *dsa, BN_CTX *ctx_in,
177*1dcdf01fSchristos                                     BIGNUM **kinvp, BIGNUM **rp)
17860662d10Schristos {
179*1dcdf01fSchristos     return dsa_sign_setup(dsa, ctx_in, kinvp, rp, NULL, 0);
180*1dcdf01fSchristos }
181*1dcdf01fSchristos 
dsa_sign_setup(DSA * dsa,BN_CTX * ctx_in,BIGNUM ** kinvp,BIGNUM ** rp,const unsigned char * dgst,int dlen)182*1dcdf01fSchristos static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in,
183*1dcdf01fSchristos                           BIGNUM **kinvp, BIGNUM **rp,
184*1dcdf01fSchristos                           const unsigned char *dgst, int dlen)
185*1dcdf01fSchristos {
186*1dcdf01fSchristos     BN_CTX *ctx = NULL;
187*1dcdf01fSchristos     BIGNUM *k, *kinv = NULL, *r = *rp;
188*1dcdf01fSchristos     BIGNUM *l;
18960662d10Schristos     int ret = 0;
190*1dcdf01fSchristos     int q_bits, q_words;
19160662d10Schristos 
19260662d10Schristos     if (!dsa->p || !dsa->q || !dsa->g) {
19360662d10Schristos         DSAerr(DSA_F_DSA_SIGN_SETUP, DSA_R_MISSING_PARAMETERS);
19460662d10Schristos         return 0;
19560662d10Schristos     }
19660662d10Schristos 
197*1dcdf01fSchristos     /* Reject obviously invalid parameters */
198*1dcdf01fSchristos     if (BN_is_zero(dsa->p) || BN_is_zero(dsa->q) || BN_is_zero(dsa->g)) {
199*1dcdf01fSchristos         DSAerr(DSA_F_DSA_SIGN_SETUP, DSA_R_INVALID_PARAMETERS);
200*1dcdf01fSchristos         return 0;
201*1dcdf01fSchristos     }
202*1dcdf01fSchristos     if (dsa->priv_key == NULL) {
203*1dcdf01fSchristos         DSAerr(DSA_F_DSA_SIGN_SETUP, DSA_R_MISSING_PRIVATE_KEY);
204*1dcdf01fSchristos         return 0;
205*1dcdf01fSchristos     }
206*1dcdf01fSchristos 
207*1dcdf01fSchristos     k = BN_new();
208*1dcdf01fSchristos     l = BN_new();
209*1dcdf01fSchristos     if (k == NULL || l == NULL)
210*1dcdf01fSchristos         goto err;
21160662d10Schristos 
21260662d10Schristos     if (ctx_in == NULL) {
21360662d10Schristos         if ((ctx = BN_CTX_new()) == NULL)
21460662d10Schristos             goto err;
21560662d10Schristos     } else
21660662d10Schristos         ctx = ctx_in;
21760662d10Schristos 
218*1dcdf01fSchristos     /* Preallocate space */
219*1dcdf01fSchristos     q_bits = BN_num_bits(dsa->q);
220*1dcdf01fSchristos     q_words = bn_get_top(dsa->q);
221*1dcdf01fSchristos     if (!bn_wexpand(k, q_words + 2)
222*1dcdf01fSchristos         || !bn_wexpand(l, q_words + 2))
22360662d10Schristos         goto err;
22460662d10Schristos 
22560662d10Schristos     /* Get random k */
226*1dcdf01fSchristos     do {
227*1dcdf01fSchristos         if (dgst != NULL) {
228*1dcdf01fSchristos             /*
229*1dcdf01fSchristos              * We calculate k from SHA512(private_key + H(message) + random).
230*1dcdf01fSchristos              * This protects the private key from a weak PRNG.
231*1dcdf01fSchristos              */
232*1dcdf01fSchristos             if (!BN_generate_dsa_nonce(k, dsa->q, dsa->priv_key, dgst,
233*1dcdf01fSchristos                                        dlen, ctx))
23460662d10Schristos                 goto err;
235*1dcdf01fSchristos         } else if (!BN_priv_rand_range(k, dsa->q))
236*1dcdf01fSchristos             goto err;
237*1dcdf01fSchristos     } while (BN_is_zero(k));
23860662d10Schristos 
239*1dcdf01fSchristos     BN_set_flags(k, BN_FLG_CONSTTIME);
240*1dcdf01fSchristos     BN_set_flags(l, BN_FLG_CONSTTIME);
24160662d10Schristos 
24260662d10Schristos     if (dsa->flags & DSA_FLAG_CACHE_MONT_P) {
24360662d10Schristos         if (!BN_MONT_CTX_set_locked(&dsa->method_mont_p,
244*1dcdf01fSchristos                                     dsa->lock, dsa->p, ctx))
24560662d10Schristos             goto err;
24660662d10Schristos     }
24760662d10Schristos 
24860662d10Schristos     /* Compute r = (g^k mod p) mod q */
24960662d10Schristos 
25060662d10Schristos     /*
25160662d10Schristos      * We do not want timing information to leak the length of k, so we
252*1dcdf01fSchristos      * compute G^k using an equivalent scalar of fixed bit-length.
253*1dcdf01fSchristos      *
254*1dcdf01fSchristos      * We unconditionally perform both of these additions to prevent a
255*1dcdf01fSchristos      * small timing information leakage.  We then choose the sum that is
256*1dcdf01fSchristos      * one bit longer than the modulus.
257*1dcdf01fSchristos      *
258*1dcdf01fSchristos      * There are some concerns about the efficacy of doing this.  More
259*1dcdf01fSchristos      * specifically refer to the discussion starting with:
260*1dcdf01fSchristos      *     https://github.com/openssl/openssl/pull/7486#discussion_r228323705
261*1dcdf01fSchristos      * The fix is to rework BN so these gymnastics aren't required.
26260662d10Schristos      */
263*1dcdf01fSchristos     if (!BN_add(l, k, dsa->q)
264*1dcdf01fSchristos         || !BN_add(k, l, dsa->q))
26560662d10Schristos         goto err;
26660662d10Schristos 
267*1dcdf01fSchristos     BN_consttime_swap(BN_is_bit_set(l, q_bits), k, l, q_words + 2);
268*1dcdf01fSchristos 
269*1dcdf01fSchristos     if ((dsa)->meth->bn_mod_exp != NULL) {
270*1dcdf01fSchristos             if (!dsa->meth->bn_mod_exp(dsa, r, dsa->g, k, dsa->p, ctx,
271*1dcdf01fSchristos                                        dsa->method_mont_p))
272*1dcdf01fSchristos                 goto err;
27360662d10Schristos     } else {
274*1dcdf01fSchristos             if (!BN_mod_exp_mont(r, dsa->g, k, dsa->p, ctx, dsa->method_mont_p))
275*1dcdf01fSchristos                 goto err;
27660662d10Schristos     }
27760662d10Schristos 
27860662d10Schristos     if (!BN_mod(r, r, dsa->q, ctx))
27960662d10Schristos         goto err;
28060662d10Schristos 
28160662d10Schristos     /* Compute part of 's = inv(k) (m + xr) mod q' */
282*1dcdf01fSchristos     if ((kinv = dsa_mod_inverse_fermat(k, dsa->q, ctx)) == NULL)
28360662d10Schristos         goto err;
28460662d10Schristos 
28560662d10Schristos     BN_clear_free(*kinvp);
28660662d10Schristos     *kinvp = kinv;
28760662d10Schristos     kinv = NULL;
28860662d10Schristos     ret = 1;
28960662d10Schristos  err:
290*1dcdf01fSchristos     if (!ret)
29160662d10Schristos         DSAerr(DSA_F_DSA_SIGN_SETUP, ERR_R_BN_LIB);
292*1dcdf01fSchristos     if (ctx != ctx_in)
29360662d10Schristos         BN_CTX_free(ctx);
294*1dcdf01fSchristos     BN_clear_free(k);
295*1dcdf01fSchristos     BN_clear_free(l);
296*1dcdf01fSchristos     return ret;
29760662d10Schristos }
29860662d10Schristos 
dsa_do_verify(const unsigned char * dgst,int dgst_len,DSA_SIG * sig,DSA * dsa)29960662d10Schristos static int dsa_do_verify(const unsigned char *dgst, int dgst_len,
30060662d10Schristos                          DSA_SIG *sig, DSA *dsa)
30160662d10Schristos {
30260662d10Schristos     BN_CTX *ctx;
303*1dcdf01fSchristos     BIGNUM *u1, *u2, *t1;
30460662d10Schristos     BN_MONT_CTX *mont = NULL;
305*1dcdf01fSchristos     const BIGNUM *r, *s;
30660662d10Schristos     int ret = -1, i;
30760662d10Schristos     if (!dsa->p || !dsa->q || !dsa->g) {
30860662d10Schristos         DSAerr(DSA_F_DSA_DO_VERIFY, DSA_R_MISSING_PARAMETERS);
30960662d10Schristos         return -1;
31060662d10Schristos     }
31160662d10Schristos 
31260662d10Schristos     i = BN_num_bits(dsa->q);
31360662d10Schristos     /* fips 186-3 allows only different sizes for q */
31460662d10Schristos     if (i != 160 && i != 224 && i != 256) {
31560662d10Schristos         DSAerr(DSA_F_DSA_DO_VERIFY, DSA_R_BAD_Q_VALUE);
31660662d10Schristos         return -1;
31760662d10Schristos     }
31860662d10Schristos 
31960662d10Schristos     if (BN_num_bits(dsa->p) > OPENSSL_DSA_MAX_MODULUS_BITS) {
32060662d10Schristos         DSAerr(DSA_F_DSA_DO_VERIFY, DSA_R_MODULUS_TOO_LARGE);
32160662d10Schristos         return -1;
32260662d10Schristos     }
323*1dcdf01fSchristos     u1 = BN_new();
324*1dcdf01fSchristos     u2 = BN_new();
325*1dcdf01fSchristos     t1 = BN_new();
326*1dcdf01fSchristos     ctx = BN_CTX_new();
327*1dcdf01fSchristos     if (u1 == NULL || u2 == NULL || t1 == NULL || ctx == NULL)
32860662d10Schristos         goto err;
32960662d10Schristos 
330*1dcdf01fSchristos     DSA_SIG_get0(sig, &r, &s);
331*1dcdf01fSchristos 
332*1dcdf01fSchristos     if (BN_is_zero(r) || BN_is_negative(r) ||
333*1dcdf01fSchristos         BN_ucmp(r, dsa->q) >= 0) {
33460662d10Schristos         ret = 0;
33560662d10Schristos         goto err;
33660662d10Schristos     }
337*1dcdf01fSchristos     if (BN_is_zero(s) || BN_is_negative(s) ||
338*1dcdf01fSchristos         BN_ucmp(s, dsa->q) >= 0) {
33960662d10Schristos         ret = 0;
34060662d10Schristos         goto err;
34160662d10Schristos     }
34260662d10Schristos 
34360662d10Schristos     /*
34460662d10Schristos      * Calculate W = inv(S) mod Q save W in u2
34560662d10Schristos      */
346*1dcdf01fSchristos     if ((BN_mod_inverse(u2, s, dsa->q, ctx)) == NULL)
34760662d10Schristos         goto err;
34860662d10Schristos 
34960662d10Schristos     /* save M in u1 */
35060662d10Schristos     if (dgst_len > (i >> 3))
35160662d10Schristos         /*
35260662d10Schristos          * if the digest length is greater than the size of q use the
35360662d10Schristos          * BN_num_bits(dsa->q) leftmost bits of the digest, see fips 186-3,
35460662d10Schristos          * 4.2
35560662d10Schristos          */
35660662d10Schristos         dgst_len = (i >> 3);
357*1dcdf01fSchristos     if (BN_bin2bn(dgst, dgst_len, u1) == NULL)
35860662d10Schristos         goto err;
35960662d10Schristos 
36060662d10Schristos     /* u1 = M * w mod q */
361*1dcdf01fSchristos     if (!BN_mod_mul(u1, u1, u2, dsa->q, ctx))
36260662d10Schristos         goto err;
36360662d10Schristos 
36460662d10Schristos     /* u2 = r * w mod q */
365*1dcdf01fSchristos     if (!BN_mod_mul(u2, r, u2, dsa->q, ctx))
36660662d10Schristos         goto err;
36760662d10Schristos 
36860662d10Schristos     if (dsa->flags & DSA_FLAG_CACHE_MONT_P) {
36960662d10Schristos         mont = BN_MONT_CTX_set_locked(&dsa->method_mont_p,
370*1dcdf01fSchristos                                       dsa->lock, dsa->p, ctx);
37160662d10Schristos         if (!mont)
37260662d10Schristos             goto err;
37360662d10Schristos     }
37460662d10Schristos 
375*1dcdf01fSchristos     if (dsa->meth->dsa_mod_exp != NULL) {
376*1dcdf01fSchristos         if (!dsa->meth->dsa_mod_exp(dsa, t1, dsa->g, u1, dsa->pub_key, u2,
377*1dcdf01fSchristos                                     dsa->p, ctx, mont))
378*1dcdf01fSchristos             goto err;
379*1dcdf01fSchristos     } else {
380*1dcdf01fSchristos         if (!BN_mod_exp2_mont(t1, dsa->g, u1, dsa->pub_key, u2, dsa->p, ctx,
381*1dcdf01fSchristos                               mont))
382*1dcdf01fSchristos             goto err;
383*1dcdf01fSchristos     }
384*1dcdf01fSchristos 
38560662d10Schristos     /* let u1 = u1 mod q */
386*1dcdf01fSchristos     if (!BN_mod(u1, t1, dsa->q, ctx))
38760662d10Schristos         goto err;
38860662d10Schristos 
38960662d10Schristos     /*
39060662d10Schristos      * V is now in u1.  If the signature is correct, it will be equal to R.
39160662d10Schristos      */
392*1dcdf01fSchristos     ret = (BN_ucmp(u1, r) == 0);
39360662d10Schristos 
39460662d10Schristos  err:
39560662d10Schristos     if (ret < 0)
39660662d10Schristos         DSAerr(DSA_F_DSA_DO_VERIFY, ERR_R_BN_LIB);
39760662d10Schristos     BN_CTX_free(ctx);
398*1dcdf01fSchristos     BN_free(u1);
399*1dcdf01fSchristos     BN_free(u2);
400*1dcdf01fSchristos     BN_free(t1);
401*1dcdf01fSchristos     return ret;
40260662d10Schristos }
40360662d10Schristos 
dsa_init(DSA * dsa)40460662d10Schristos static int dsa_init(DSA *dsa)
40560662d10Schristos {
40660662d10Schristos     dsa->flags |= DSA_FLAG_CACHE_MONT_P;
407*1dcdf01fSchristos     return 1;
40860662d10Schristos }
40960662d10Schristos 
dsa_finish(DSA * dsa)41060662d10Schristos static int dsa_finish(DSA *dsa)
41160662d10Schristos {
41260662d10Schristos     BN_MONT_CTX_free(dsa->method_mont_p);
413*1dcdf01fSchristos     return 1;
414*1dcdf01fSchristos }
415*1dcdf01fSchristos 
416*1dcdf01fSchristos /*
417*1dcdf01fSchristos  * Compute the inverse of k modulo q.
418*1dcdf01fSchristos  * Since q is prime, Fermat's Little Theorem applies, which reduces this to
419*1dcdf01fSchristos  * mod-exp operation.  Both the exponent and modulus are public information
420*1dcdf01fSchristos  * so a mod-exp that doesn't leak the base is sufficient.  A newly allocated
421*1dcdf01fSchristos  * BIGNUM is returned which the caller must free.
422*1dcdf01fSchristos  */
dsa_mod_inverse_fermat(const BIGNUM * k,const BIGNUM * q,BN_CTX * ctx)423*1dcdf01fSchristos static BIGNUM *dsa_mod_inverse_fermat(const BIGNUM *k, const BIGNUM *q,
424*1dcdf01fSchristos                                       BN_CTX *ctx)
425*1dcdf01fSchristos {
426*1dcdf01fSchristos     BIGNUM *res = NULL;
427*1dcdf01fSchristos     BIGNUM *r, *e;
428*1dcdf01fSchristos 
429*1dcdf01fSchristos     if ((r = BN_new()) == NULL)
430*1dcdf01fSchristos         return NULL;
431*1dcdf01fSchristos 
432*1dcdf01fSchristos     BN_CTX_start(ctx);
433*1dcdf01fSchristos     if ((e = BN_CTX_get(ctx)) != NULL
434*1dcdf01fSchristos             && BN_set_word(r, 2)
435*1dcdf01fSchristos             && BN_sub(e, q, r)
436*1dcdf01fSchristos             && BN_mod_exp_mont(r, k, e, q, ctx, NULL))
437*1dcdf01fSchristos         res = r;
438*1dcdf01fSchristos     else
439*1dcdf01fSchristos         BN_free(r);
440*1dcdf01fSchristos     BN_CTX_end(ctx);
441*1dcdf01fSchristos     return res;
44260662d10Schristos }
443