xref: /openssl/crypto/dh/dh_gen.c (revision 990d280d)
1 /*
2  * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
3  *
4  * Licensed under the Apache License 2.0 (the "License").  You may not use
5  * this file except in compliance with the License.  You can obtain a copy
6  * in the file LICENSE in the source distribution or at
7  * https://www.openssl.org/source/license.html
8  */
9 
10 /*
11  * NB: These functions have been upgraded - the previous prototypes are in
12  * dh_depr.c as wrappers to these ones.  - Geoff
13  */
14 
15 /*
16  * DH low level APIs are deprecated for public use, but still ok for
17  * internal use.
18  *
19  * NOTE: When generating keys for key-agreement schemes - FIPS 140-2 IG 9.9
20  * states that no additional pairwise tests are required (apart from the tests
21  * specified in SP800-56A) when generating keys. Hence DH pairwise tests are
22  * omitted here.
23  */
24 #include "internal/deprecated.h"
25 
26 #include <stdio.h>
27 #include "internal/cryptlib.h"
28 #include <openssl/bn.h>
29 #include <openssl/sha.h>
30 #include "crypto/dh.h"
31 #include "crypto/security_bits.h"
32 #include "dh_local.h"
33 
34 #ifndef FIPS_MODULE
35 static int dh_builtin_genparams(DH *ret, int prime_len, int generator,
36                                 BN_GENCB *cb);
37 #endif /* FIPS_MODULE */
38 
ossl_dh_generate_ffc_parameters(DH * dh,int type,int pbits,int qbits,BN_GENCB * cb)39 int ossl_dh_generate_ffc_parameters(DH *dh, int type, int pbits, int qbits,
40                                     BN_GENCB *cb)
41 {
42     int ret, res;
43 
44 #ifndef FIPS_MODULE
45     if (type == DH_PARAMGEN_TYPE_FIPS_186_2)
46         ret = ossl_ffc_params_FIPS186_2_generate(dh->libctx, &dh->params,
47                                                  FFC_PARAM_TYPE_DH,
48                                                  pbits, qbits, &res, cb);
49     else
50 #endif
51         ret = ossl_ffc_params_FIPS186_4_generate(dh->libctx, &dh->params,
52                                                  FFC_PARAM_TYPE_DH,
53                                                  pbits, qbits, &res, cb);
54     if (ret > 0)
55         dh->dirty_cnt++;
56     return ret;
57 }
58 
ossl_dh_get_named_group_uid_from_size(int pbits)59 int ossl_dh_get_named_group_uid_from_size(int pbits)
60 {
61     /*
62      * Just choose an approved safe prime group.
63      * The alternative to this is to generate FIPS186-4 domain parameters i.e.
64      * return dh_generate_ffc_parameters(ret, prime_len, 0, NULL, cb);
65      * As the FIPS186-4 generated params are for backwards compatibility,
66      * the safe prime group should be used as the default.
67      */
68     int nid;
69 
70     switch (pbits) {
71     case 2048:
72         nid = NID_ffdhe2048;
73         break;
74     case 3072:
75         nid = NID_ffdhe3072;
76         break;
77     case 4096:
78         nid = NID_ffdhe4096;
79         break;
80     case 6144:
81         nid = NID_ffdhe6144;
82         break;
83     case 8192:
84         nid = NID_ffdhe8192;
85         break;
86     /* unsupported prime_len */
87     default:
88         return NID_undef;
89     }
90     return nid;
91 }
92 
93 #ifdef FIPS_MODULE
94 
dh_gen_named_group(OSSL_LIB_CTX * libctx,DH * ret,int prime_len)95 static int dh_gen_named_group(OSSL_LIB_CTX *libctx, DH *ret, int prime_len)
96 {
97     DH *dh;
98     int ok = 0;
99     int nid = ossl_dh_get_named_group_uid_from_size(prime_len);
100 
101     if (nid == NID_undef)
102         return 0;
103 
104     dh = ossl_dh_new_by_nid_ex(libctx, nid);
105     if (dh != NULL
106         && ossl_ffc_params_copy(&ret->params, &dh->params)) {
107         ok = 1;
108         ret->dirty_cnt++;
109     }
110     DH_free(dh);
111     return ok;
112 }
113 #endif /* FIPS_MODULE */
114 
DH_generate_parameters_ex(DH * ret,int prime_len,int generator,BN_GENCB * cb)115 int DH_generate_parameters_ex(DH *ret, int prime_len, int generator,
116                               BN_GENCB *cb)
117 {
118 #ifdef FIPS_MODULE
119     if (generator != 2)
120         return 0;
121     return dh_gen_named_group(ret->libctx, ret, prime_len);
122 #else
123     if (ret->meth->generate_params)
124         return ret->meth->generate_params(ret, prime_len, generator, cb);
125     return dh_builtin_genparams(ret, prime_len, generator, cb);
126 #endif /* FIPS_MODULE */
127 }
128 
129 #ifndef FIPS_MODULE
130 /*-
131  * We generate DH parameters as follows
132  * find a prime p which is prime_len bits long,
133  * where q=(p-1)/2 is also prime.
134  * In the following we assume that g is not 0, 1 or p-1, since it
135  * would generate only trivial subgroups.
136  * For this case, g is a generator of the order-q subgroup if
137  * g^q mod p == 1.
138  * Or in terms of the Legendre symbol: (g/p) == 1.
139  *
140  * Having said all that,
141  * there is another special case method for the generators 2, 3 and 5.
142  * Using the quadratic reciprocity law it is possible to solve
143  * (g/p) == 1 for the special values 2, 3, 5:
144  * (2/p) == 1 if p mod 8 == 1 or 7.
145  * (3/p) == 1 if p mod 12 == 1 or 11.
146  * (5/p) == 1 if p mod 5 == 1 or 4.
147  * See for instance: https://en.wikipedia.org/wiki/Legendre_symbol
148  *
149  * Since all safe primes > 7 must satisfy p mod 12 == 11
150  * and all safe primes > 11 must satisfy p mod 5 != 1
151  * we can further improve the condition for g = 2, 3 and 5:
152  * for 2, p mod 24 == 23
153  * for 3, p mod 12 == 11
154  * for 5, p mod 60 == 59
155  */
dh_builtin_genparams(DH * ret,int prime_len,int generator,BN_GENCB * cb)156 static int dh_builtin_genparams(DH *ret, int prime_len, int generator,
157                                 BN_GENCB *cb)
158 {
159     BIGNUM *t1, *t2;
160     int g, ok = -1;
161     BN_CTX *ctx = NULL;
162 
163     if (prime_len > OPENSSL_DH_MAX_MODULUS_BITS) {
164         ERR_raise(ERR_LIB_DH, DH_R_MODULUS_TOO_LARGE);
165         return 0;
166     }
167 
168     if (prime_len < DH_MIN_MODULUS_BITS) {
169         ERR_raise(ERR_LIB_DH, DH_R_MODULUS_TOO_SMALL);
170         return 0;
171     }
172 
173     ctx = BN_CTX_new_ex(ret->libctx);
174     if (ctx == NULL)
175         goto err;
176     BN_CTX_start(ctx);
177     t1 = BN_CTX_get(ctx);
178     t2 = BN_CTX_get(ctx);
179     if (t2 == NULL)
180         goto err;
181 
182     /* Make sure 'ret' has the necessary elements */
183     if (ret->params.p == NULL && ((ret->params.p = BN_new()) == NULL))
184         goto err;
185     if (ret->params.g == NULL && ((ret->params.g = BN_new()) == NULL))
186         goto err;
187 
188     if (generator <= 1) {
189         ERR_raise(ERR_LIB_DH, DH_R_BAD_GENERATOR);
190         goto err;
191     }
192     if (generator == DH_GENERATOR_2) {
193         if (!BN_set_word(t1, 24))
194             goto err;
195         if (!BN_set_word(t2, 23))
196             goto err;
197         g = 2;
198     } else if (generator == DH_GENERATOR_5) {
199         if (!BN_set_word(t1, 60))
200             goto err;
201         if (!BN_set_word(t2, 59))
202             goto err;
203         g = 5;
204     } else {
205         /*
206          * in the general case, don't worry if 'generator' is a generator or
207          * not: since we are using safe primes, it will generate either an
208          * order-q or an order-2q group, which both is OK
209          */
210         if (!BN_set_word(t1, 12))
211             goto err;
212         if (!BN_set_word(t2, 11))
213             goto err;
214         g = generator;
215     }
216 
217     if (!BN_generate_prime_ex2(ret->params.p, prime_len, 1, t1, t2, cb, ctx))
218         goto err;
219     if (!BN_GENCB_call(cb, 3, 0))
220         goto err;
221     if (!BN_set_word(ret->params.g, g))
222         goto err;
223     /* We are using safe prime p, set key length equivalent to RFC 7919 */
224     ret->length = (2 * ossl_ifc_ffc_compute_security_bits(prime_len)
225                    + 24) / 25 * 25;
226     ret->dirty_cnt++;
227     ok = 1;
228  err:
229     if (ok == -1) {
230         ERR_raise(ERR_LIB_DH, ERR_R_BN_LIB);
231         ok = 0;
232     }
233 
234     BN_CTX_end(ctx);
235     BN_CTX_free(ctx);
236     return ok;
237 }
238 #endif /* FIPS_MODULE */
239