/src/openssl/crypto/rsa/rsa_gen.c
Line | Count | Source |
1 | | /* |
2 | | * Copyright 1995-2026 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 deprecated versions (which |
12 | | * are compatibility wrappers using these functions) are in rsa_depr.c. - |
13 | | * Geoff |
14 | | */ |
15 | | |
16 | | /* |
17 | | * RSA low level APIs are deprecated for public use, but still ok for |
18 | | * internal use. |
19 | | */ |
20 | | #include "internal/deprecated.h" |
21 | | |
22 | | #include <stdio.h> |
23 | | #include <time.h> |
24 | | #include "internal/cryptlib.h" |
25 | | #include <openssl/bn.h> |
26 | | #include <openssl/self_test.h> |
27 | | #include "prov/providercommon.h" |
28 | | #include "rsa_local.h" |
29 | | |
30 | | static int rsa_keygen_pairwise_test(RSA *rsa, OSSL_CALLBACK *cb, void *cbarg); |
31 | | static int rsa_keygen(OSSL_LIB_CTX *libctx, RSA *rsa, int bits, int primes, |
32 | | BIGNUM *e_value, BN_GENCB *cb, int pairwise_test, |
33 | | uint32_t a, uint32_t b); |
34 | | |
35 | | /* |
36 | | * NB: this wrapper would normally be placed in rsa_lib.c and the static |
37 | | * implementation would probably be in rsa_eay.c. Nonetheless, is kept here |
38 | | * so that we don't introduce a new linker dependency. Eg. any application |
39 | | * that wasn't previously linking object code related to key-generation won't |
40 | | * have to now just because key-generation is part of RSA_METHOD. |
41 | | */ |
42 | | int RSA_generate_key_ex(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) |
43 | 0 | { |
44 | 0 | if (rsa->meth->rsa_keygen != NULL) |
45 | 0 | return rsa->meth->rsa_keygen(rsa, bits, e_value, cb); |
46 | | |
47 | 0 | return RSA_generate_multi_prime_key(rsa, bits, RSA_DEFAULT_PRIME_NUM, |
48 | 0 | e_value, cb); |
49 | 0 | } |
50 | | |
51 | | int ossl_rsa_generate_multi_prime_key(RSA *rsa, int bits, int primes, |
52 | | BIGNUM *e_value, BN_GENCB *cb, |
53 | | uint32_t a, uint32_t b) |
54 | 0 | { |
55 | 0 | #ifndef FIPS_MODULE |
56 | | /* multi-prime is only supported with the builtin key generation */ |
57 | 0 | if (rsa->meth->rsa_multi_prime_keygen != NULL) { |
58 | 0 | return rsa->meth->rsa_multi_prime_keygen(rsa, bits, primes, |
59 | 0 | e_value, cb); |
60 | 0 | } else if (rsa->meth->rsa_keygen != NULL) { |
61 | | /* |
62 | | * However, if rsa->meth implements only rsa_keygen, then we |
63 | | * have to honour it in 2-prime case and assume that it wouldn't |
64 | | * know what to do with multi-prime key generated by builtin |
65 | | * subroutine... |
66 | | */ |
67 | 0 | if (primes == 2) |
68 | 0 | return rsa->meth->rsa_keygen(rsa, bits, e_value, cb); |
69 | 0 | else |
70 | 0 | return 0; |
71 | 0 | } |
72 | 0 | #endif /* FIPS_MODULE */ |
73 | 0 | return rsa_keygen(rsa->libctx, rsa, bits, primes, e_value, cb, 0, a, b); |
74 | 0 | } |
75 | | |
76 | | int RSA_generate_multi_prime_key(RSA *rsa, int bits, int primes, |
77 | | BIGNUM *e, BN_GENCB *cb) |
78 | 0 | { |
79 | 0 | return ossl_rsa_generate_multi_prime_key(rsa, bits, primes, e, cb, 0, 0); |
80 | 0 | } |
81 | | |
82 | | DEFINE_STACK_OF(BIGNUM) |
83 | | |
84 | | /* |
85 | | * Given input values, q, p, n, d and e, derive the exponents |
86 | | * and coefficients for each prime in this key, placing the result |
87 | | * on their respective exps and coeffs stacks |
88 | | */ |
89 | | #ifndef FIPS_MODULE |
90 | | int ossl_rsa_multiprime_derive(RSA *rsa, |
91 | | STACK_OF(BIGNUM) *factors, |
92 | | STACK_OF(BIGNUM) *exps, |
93 | | STACK_OF(BIGNUM) *coeffs) |
94 | 0 | { |
95 | 0 | STACK_OF(BIGNUM) *pplist = NULL, *pdlist = NULL; |
96 | 0 | BIGNUM *factor = NULL, *newpp = NULL, *newpd = NULL; |
97 | 0 | BIGNUM *dval = NULL, *newexp = NULL, *newcoeff = NULL; |
98 | 0 | BIGNUM *p = NULL, *q = NULL; |
99 | 0 | BIGNUM *dmp1 = NULL, *dmq1 = NULL, *iqmp = NULL; |
100 | 0 | BIGNUM *r0 = NULL, *r1 = NULL, *r2 = NULL; |
101 | 0 | BN_CTX *ctx = NULL; |
102 | 0 | BIGNUM *tmp = NULL; |
103 | 0 | int i; |
104 | 0 | int ret = 0; |
105 | |
|
106 | 0 | ctx = BN_CTX_new_ex(rsa->libctx); |
107 | 0 | if (ctx == NULL) |
108 | 0 | goto err; |
109 | | |
110 | 0 | BN_CTX_start(ctx); |
111 | |
|
112 | 0 | pplist = sk_BIGNUM_new_null(); |
113 | 0 | if (pplist == NULL) |
114 | 0 | goto err; |
115 | | |
116 | 0 | pdlist = sk_BIGNUM_new_null(); |
117 | 0 | if (pdlist == NULL) |
118 | 0 | goto err; |
119 | | |
120 | 0 | r0 = BN_CTX_get(ctx); |
121 | 0 | r1 = BN_CTX_get(ctx); |
122 | 0 | r2 = BN_CTX_get(ctx); |
123 | |
|
124 | 0 | if (r2 == NULL) |
125 | 0 | goto err; |
126 | | |
127 | 0 | BN_set_flags(r0, BN_FLG_CONSTTIME); |
128 | 0 | BN_set_flags(r1, BN_FLG_CONSTTIME); |
129 | 0 | BN_set_flags(r2, BN_FLG_CONSTTIME); |
130 | |
|
131 | 0 | if (BN_copy(r1, rsa->n) == NULL) |
132 | 0 | goto err; |
133 | | |
134 | 0 | p = sk_BIGNUM_value(factors, 0); |
135 | 0 | q = sk_BIGNUM_value(factors, 1); |
136 | | |
137 | | /* Build list of partial products of primes */ |
138 | 0 | for (i = 0; i < sk_BIGNUM_num(factors); i++) { |
139 | 0 | switch (i) { |
140 | 0 | case 0: |
141 | | /* our first prime, p */ |
142 | 0 | if (!BN_sub(r2, p, BN_value_one())) |
143 | 0 | goto err; |
144 | 0 | BN_set_flags(r2, BN_FLG_CONSTTIME); |
145 | 0 | if (BN_mod_inverse(r1, r2, rsa->e, ctx) == NULL) |
146 | 0 | goto err; |
147 | 0 | break; |
148 | 0 | case 1: |
149 | | /* second prime q */ |
150 | 0 | if (!BN_mul(r1, p, q, ctx)) |
151 | 0 | goto err; |
152 | 0 | tmp = BN_dup(r1); |
153 | 0 | if (tmp == NULL) |
154 | 0 | goto err; |
155 | 0 | if (!sk_BIGNUM_insert(pplist, tmp, sk_BIGNUM_num(pplist))) |
156 | 0 | goto err; |
157 | 0 | tmp = NULL; |
158 | 0 | break; |
159 | 0 | default: |
160 | 0 | factor = sk_BIGNUM_value(factors, i); |
161 | | /* all other primes */ |
162 | 0 | if (!BN_mul(r1, r1, factor, ctx)) |
163 | 0 | goto err; |
164 | 0 | tmp = BN_dup(r1); |
165 | 0 | if (tmp == NULL) |
166 | 0 | goto err; |
167 | 0 | if (!sk_BIGNUM_insert(pplist, tmp, sk_BIGNUM_num(pplist))) |
168 | 0 | goto err; |
169 | 0 | tmp = NULL; |
170 | 0 | break; |
171 | 0 | } |
172 | 0 | } |
173 | | |
174 | | /* build list of relative d values */ |
175 | | /* p -1 */ |
176 | 0 | if (!BN_sub(r1, p, BN_value_one())) |
177 | 0 | goto err; |
178 | 0 | if (!BN_sub(r2, q, BN_value_one())) |
179 | 0 | goto err; |
180 | 0 | if (!BN_mul(r0, r1, r2, ctx)) |
181 | 0 | goto err; |
182 | 0 | for (i = 2; i < sk_BIGNUM_num(factors); i++) { |
183 | 0 | factor = sk_BIGNUM_value(factors, i); |
184 | 0 | dval = BN_new(); |
185 | 0 | if (dval == NULL) |
186 | 0 | goto err; |
187 | 0 | BN_set_flags(dval, BN_FLG_CONSTTIME); |
188 | 0 | if (!BN_sub(dval, factor, BN_value_one())) |
189 | 0 | goto err; |
190 | 0 | if (!BN_mul(r0, r0, dval, ctx)) |
191 | 0 | goto err; |
192 | 0 | if (!sk_BIGNUM_insert(pdlist, dval, sk_BIGNUM_num(pdlist))) |
193 | 0 | goto err; |
194 | 0 | dval = NULL; |
195 | 0 | } |
196 | | |
197 | | /* Calculate dmp1, dmq1 and additional exponents */ |
198 | 0 | dmp1 = BN_secure_new(); |
199 | 0 | if (dmp1 == NULL) |
200 | 0 | goto err; |
201 | 0 | dmq1 = BN_secure_new(); |
202 | 0 | if (dmq1 == NULL) |
203 | 0 | goto err; |
204 | | |
205 | 0 | if (!BN_mod(dmp1, rsa->d, r1, ctx)) |
206 | 0 | goto err; |
207 | 0 | if (!sk_BIGNUM_insert(exps, dmp1, sk_BIGNUM_num(exps))) |
208 | 0 | goto err; |
209 | 0 | dmp1 = NULL; |
210 | |
|
211 | 0 | if (!BN_mod(dmq1, rsa->d, r2, ctx)) |
212 | 0 | goto err; |
213 | 0 | if (!sk_BIGNUM_insert(exps, dmq1, sk_BIGNUM_num(exps))) |
214 | 0 | goto err; |
215 | 0 | dmq1 = NULL; |
216 | |
|
217 | 0 | for (i = 2; i < sk_BIGNUM_num(factors); i++) { |
218 | 0 | newpd = sk_BIGNUM_value(pdlist, i - 2); |
219 | 0 | newexp = BN_new(); |
220 | 0 | if (newexp == NULL) |
221 | 0 | goto err; |
222 | 0 | if (!BN_mod(newexp, rsa->d, newpd, ctx)) |
223 | 0 | goto err; |
224 | 0 | if (!sk_BIGNUM_insert(exps, newexp, sk_BIGNUM_num(exps))) |
225 | 0 | goto err; |
226 | 0 | newexp = NULL; |
227 | 0 | } |
228 | | |
229 | | /* Calculate iqmp and additional coefficients */ |
230 | 0 | iqmp = BN_new(); |
231 | 0 | if (iqmp == NULL) |
232 | 0 | goto err; |
233 | | |
234 | 0 | if (BN_mod_inverse(iqmp, sk_BIGNUM_value(factors, 1), |
235 | 0 | sk_BIGNUM_value(factors, 0), ctx) |
236 | 0 | == NULL) |
237 | 0 | goto err; |
238 | 0 | if (!sk_BIGNUM_insert(coeffs, iqmp, sk_BIGNUM_num(coeffs))) |
239 | 0 | goto err; |
240 | 0 | iqmp = NULL; |
241 | |
|
242 | 0 | for (i = 2; i < sk_BIGNUM_num(factors); i++) { |
243 | 0 | newpp = sk_BIGNUM_value(pplist, i - 2); |
244 | 0 | newcoeff = BN_new(); |
245 | 0 | if (newcoeff == NULL) |
246 | 0 | goto err; |
247 | 0 | if (BN_mod_inverse(newcoeff, newpp, sk_BIGNUM_value(factors, i), |
248 | 0 | ctx) |
249 | 0 | == NULL) |
250 | 0 | goto err; |
251 | 0 | if (!sk_BIGNUM_insert(coeffs, newcoeff, sk_BIGNUM_num(coeffs))) |
252 | 0 | goto err; |
253 | 0 | newcoeff = NULL; |
254 | 0 | } |
255 | | |
256 | 0 | ret = 1; |
257 | 0 | err: |
258 | 0 | BN_free(newcoeff); |
259 | 0 | BN_free(newexp); |
260 | 0 | BN_free(dval); |
261 | 0 | BN_free(tmp); |
262 | 0 | sk_BIGNUM_pop_free(pplist, BN_free); |
263 | 0 | sk_BIGNUM_pop_free(pdlist, BN_free); |
264 | 0 | BN_CTX_end(ctx); |
265 | 0 | BN_CTX_free(ctx); |
266 | 0 | BN_clear_free(dmp1); |
267 | 0 | BN_clear_free(dmq1); |
268 | 0 | BN_clear_free(iqmp); |
269 | 0 | return ret; |
270 | 0 | } |
271 | | |
272 | | static int rsa_multiprime_keygen(RSA *rsa, int bits, int primes, |
273 | | BIGNUM *e_value, BN_GENCB *cb) |
274 | 0 | { |
275 | 0 | BIGNUM *r0 = NULL, *r1 = NULL, *r2 = NULL, *tmp, *tmp2, *prime; |
276 | 0 | int n = 0, bitsr[RSA_MAX_PRIME_NUM], bitse = 0; |
277 | 0 | int i = 0, quo = 0, rmd = 0, adj = 0, retries = 0; |
278 | 0 | RSA_PRIME_INFO *pinfo = NULL; |
279 | 0 | STACK_OF(RSA_PRIME_INFO) *prime_infos = NULL; |
280 | 0 | STACK_OF(BIGNUM) *factors = NULL; |
281 | 0 | STACK_OF(BIGNUM) *exps = NULL; |
282 | 0 | STACK_OF(BIGNUM) *coeffs = NULL; |
283 | 0 | BN_CTX *ctx = NULL; |
284 | 0 | BN_ULONG bitst = 0; |
285 | 0 | unsigned long error = 0; |
286 | 0 | int ok = -1; |
287 | |
|
288 | 0 | if (bits < RSA_MIN_MODULUS_BITS) { |
289 | 0 | ERR_raise(ERR_LIB_RSA, RSA_R_KEY_SIZE_TOO_SMALL); |
290 | 0 | return 0; |
291 | 0 | } |
292 | 0 | if (e_value == NULL) { |
293 | 0 | ERR_raise(ERR_LIB_RSA, RSA_R_BAD_E_VALUE); |
294 | 0 | return 0; |
295 | 0 | } |
296 | | /* A bad value for e can cause infinite loops */ |
297 | 0 | if (!ossl_rsa_check_public_exponent(e_value)) { |
298 | 0 | ERR_raise(ERR_LIB_RSA, RSA_R_PUB_EXPONENT_OUT_OF_RANGE); |
299 | 0 | return 0; |
300 | 0 | } |
301 | | |
302 | 0 | if (primes < RSA_DEFAULT_PRIME_NUM || primes > ossl_rsa_multip_cap(bits)) { |
303 | 0 | ERR_raise(ERR_LIB_RSA, RSA_R_KEY_PRIME_NUM_INVALID); |
304 | 0 | return 0; |
305 | 0 | } |
306 | | |
307 | 0 | factors = sk_BIGNUM_new_null(); |
308 | 0 | if (factors == NULL) |
309 | 0 | return 0; |
310 | | |
311 | 0 | exps = sk_BIGNUM_new_null(); |
312 | 0 | if (exps == NULL) |
313 | 0 | goto err; |
314 | | |
315 | 0 | coeffs = sk_BIGNUM_new_null(); |
316 | 0 | if (coeffs == NULL) |
317 | 0 | goto err; |
318 | | |
319 | 0 | ctx = BN_CTX_new_ex(rsa->libctx); |
320 | 0 | if (ctx == NULL) |
321 | 0 | goto err; |
322 | 0 | BN_CTX_start(ctx); |
323 | 0 | r0 = BN_CTX_get(ctx); |
324 | 0 | r1 = BN_CTX_get(ctx); |
325 | 0 | r2 = BN_CTX_get(ctx); |
326 | 0 | if (r2 == NULL) |
327 | 0 | goto err; |
328 | | |
329 | | /* divide bits into 'primes' pieces evenly */ |
330 | 0 | quo = bits / primes; |
331 | 0 | rmd = bits % primes; |
332 | |
|
333 | 0 | for (i = 0; i < primes; i++) |
334 | 0 | bitsr[i] = (i < rmd) ? quo + 1 : quo; |
335 | |
|
336 | 0 | rsa->dirty_cnt++; |
337 | | |
338 | | /* We need the RSA components non-NULL */ |
339 | 0 | if (!rsa->n && ((rsa->n = BN_new()) == NULL)) |
340 | 0 | goto err; |
341 | 0 | if (!rsa->d && ((rsa->d = BN_secure_new()) == NULL)) |
342 | 0 | goto err; |
343 | 0 | BN_set_flags(rsa->d, BN_FLG_CONSTTIME); |
344 | 0 | if (!rsa->e && ((rsa->e = BN_new()) == NULL)) |
345 | 0 | goto err; |
346 | 0 | if (!rsa->p && ((rsa->p = BN_secure_new()) == NULL)) |
347 | 0 | goto err; |
348 | 0 | BN_set_flags(rsa->p, BN_FLG_CONSTTIME); |
349 | 0 | if (!rsa->q && ((rsa->q = BN_secure_new()) == NULL)) |
350 | 0 | goto err; |
351 | 0 | BN_set_flags(rsa->q, BN_FLG_CONSTTIME); |
352 | | |
353 | | /* initialize multi-prime components */ |
354 | 0 | if (primes > RSA_DEFAULT_PRIME_NUM) { |
355 | 0 | rsa->version = RSA_ASN1_VERSION_MULTI; |
356 | 0 | prime_infos = sk_RSA_PRIME_INFO_new_reserve(NULL, primes - 2); |
357 | 0 | if (prime_infos == NULL) |
358 | 0 | goto err; |
359 | 0 | if (rsa->prime_infos != NULL) { |
360 | | /* could this happen? */ |
361 | 0 | sk_RSA_PRIME_INFO_pop_free(rsa->prime_infos, |
362 | 0 | ossl_rsa_multip_info_free); |
363 | 0 | } |
364 | 0 | rsa->prime_infos = prime_infos; |
365 | | |
366 | | /* prime_info from 2 to |primes| -1 */ |
367 | 0 | for (i = 2; i < primes; i++) { |
368 | 0 | pinfo = ossl_rsa_multip_info_new(); |
369 | 0 | if (pinfo == NULL) |
370 | 0 | goto err; |
371 | 0 | (void)sk_RSA_PRIME_INFO_push(prime_infos, pinfo); |
372 | 0 | } |
373 | 0 | } |
374 | | |
375 | 0 | if (BN_copy(rsa->e, e_value) == NULL) |
376 | 0 | goto err; |
377 | | |
378 | | /* generate p, q and other primes (if any) */ |
379 | 0 | for (i = 0; i < primes; i++) { |
380 | 0 | adj = 0; |
381 | 0 | retries = 0; |
382 | |
|
383 | 0 | if (i == 0) { |
384 | 0 | prime = rsa->p; |
385 | 0 | } else if (i == 1) { |
386 | 0 | prime = rsa->q; |
387 | 0 | } else { |
388 | 0 | pinfo = sk_RSA_PRIME_INFO_value(prime_infos, i - 2); |
389 | 0 | prime = pinfo->r; |
390 | 0 | } |
391 | 0 | BN_set_flags(prime, BN_FLG_CONSTTIME); |
392 | |
|
393 | 0 | for (;;) { |
394 | 0 | redo: |
395 | 0 | if (!BN_generate_prime_ex2(prime, bitsr[i] + adj, 0, NULL, NULL, |
396 | 0 | cb, ctx)) |
397 | 0 | goto err; |
398 | | /* |
399 | | * prime should not be equal to p, q, r_3... |
400 | | * (those primes prior to this one) |
401 | | */ |
402 | 0 | { |
403 | 0 | int j; |
404 | |
|
405 | 0 | for (j = 0; j < i; j++) { |
406 | 0 | BIGNUM *prev_prime; |
407 | |
|
408 | 0 | if (j == 0) |
409 | 0 | prev_prime = rsa->p; |
410 | 0 | else if (j == 1) |
411 | 0 | prev_prime = rsa->q; |
412 | 0 | else |
413 | 0 | prev_prime = sk_RSA_PRIME_INFO_value(prime_infos, |
414 | 0 | j - 2) |
415 | 0 | ->r; |
416 | |
|
417 | 0 | if (!BN_cmp(prime, prev_prime)) { |
418 | 0 | goto redo; |
419 | 0 | } |
420 | 0 | } |
421 | 0 | } |
422 | 0 | if (!BN_sub(r2, prime, BN_value_one())) |
423 | 0 | goto err; |
424 | 0 | ERR_set_mark(); |
425 | 0 | BN_set_flags(r2, BN_FLG_CONSTTIME); |
426 | 0 | if (BN_mod_inverse(r1, r2, rsa->e, ctx) != NULL) { |
427 | | /* GCD == 1 since inverse exists */ |
428 | 0 | break; |
429 | 0 | } |
430 | 0 | error = ERR_peek_last_error(); |
431 | 0 | if (ERR_GET_LIB(error) == ERR_LIB_BN |
432 | 0 | && ERR_GET_REASON(error) == BN_R_NO_INVERSE) { |
433 | | /* GCD != 1 */ |
434 | 0 | ERR_pop_to_mark(); |
435 | 0 | } else { |
436 | 0 | goto err; |
437 | 0 | } |
438 | 0 | if (!BN_GENCB_call(cb, 2, n++)) |
439 | 0 | goto err; |
440 | 0 | } |
441 | | |
442 | 0 | bitse += bitsr[i]; |
443 | | |
444 | | /* calculate n immediately to see if it's sufficient */ |
445 | 0 | if (i == 1) { |
446 | | /* we get at least 2 primes */ |
447 | 0 | if (!BN_mul(r1, rsa->p, rsa->q, ctx)) |
448 | 0 | goto err; |
449 | 0 | } else if (i != 0) { |
450 | | /* modulus n = p * q * r_3 * r_4 ... */ |
451 | 0 | if (!BN_mul(r1, rsa->n, prime, ctx)) |
452 | 0 | goto err; |
453 | 0 | } else { |
454 | | /* i == 0, do nothing */ |
455 | 0 | if (!BN_GENCB_call(cb, 3, i)) |
456 | 0 | goto err; |
457 | 0 | tmp = BN_dup(prime); |
458 | 0 | if (tmp == NULL) |
459 | 0 | goto err; |
460 | 0 | if (!sk_BIGNUM_insert(factors, tmp, sk_BIGNUM_num(factors))) |
461 | 0 | goto err; |
462 | 0 | continue; |
463 | 0 | } |
464 | | |
465 | | /* |
466 | | * if |r1|, product of factors so far, is not as long as expected |
467 | | * (by checking the first 4 bits are less than 0x9 or greater than |
468 | | * 0xF). If so, re-generate the last prime. |
469 | | * |
470 | | * NOTE: This actually can't happen in two-prime case, because of |
471 | | * the way factors are generated. |
472 | | * |
473 | | * Besides, another consideration is, for multi-prime case, even the |
474 | | * length modulus is as long as expected, the modulus could start at |
475 | | * 0x8, which could be utilized to distinguish a multi-prime private |
476 | | * key by using the modulus in a certificate. This is also covered |
477 | | * by checking the length should not be less than 0x9. |
478 | | */ |
479 | 0 | if (!BN_rshift(r2, r1, bitse - 4)) |
480 | 0 | goto err; |
481 | 0 | bitst = BN_get_word(r2); |
482 | |
|
483 | 0 | if (bitst < 0x9 || bitst > 0xF) { |
484 | | /* |
485 | | * For keys with more than 4 primes, we attempt longer factor to |
486 | | * meet length requirement. |
487 | | * |
488 | | * Otherwise, we just re-generate the prime with the same length. |
489 | | * |
490 | | * This strategy has the following goals: |
491 | | * |
492 | | * 1. 1024-bit factors are efficient when using 3072 and 4096-bit key |
493 | | * 2. stay the same logic with normal 2-prime key |
494 | | */ |
495 | 0 | bitse -= bitsr[i]; |
496 | 0 | if (!BN_GENCB_call(cb, 2, n++)) |
497 | 0 | goto err; |
498 | 0 | if (primes > 4) { |
499 | 0 | if (bitst < 0x9) |
500 | 0 | adj++; |
501 | 0 | else |
502 | 0 | adj--; |
503 | 0 | } else if (retries == 4) { |
504 | | /* |
505 | | * re-generate all primes from scratch, mainly used |
506 | | * in 4 prime case to avoid long loop. Max retry times |
507 | | * is set to 4. |
508 | | */ |
509 | 0 | i = -1; |
510 | 0 | bitse = 0; |
511 | 0 | sk_BIGNUM_pop_free(factors, BN_clear_free); |
512 | 0 | factors = sk_BIGNUM_new_null(); |
513 | 0 | if (factors == NULL) |
514 | 0 | goto err; |
515 | 0 | continue; |
516 | 0 | } |
517 | 0 | retries++; |
518 | 0 | goto redo; |
519 | 0 | } |
520 | | /* save product of primes for further use, for multi-prime only */ |
521 | 0 | if (i > 1 && BN_copy(pinfo->pp, rsa->n) == NULL) |
522 | 0 | goto err; |
523 | 0 | if (BN_copy(rsa->n, r1) == NULL) |
524 | 0 | goto err; |
525 | 0 | if (!BN_GENCB_call(cb, 3, i)) |
526 | 0 | goto err; |
527 | 0 | tmp = BN_dup(prime); |
528 | 0 | if (tmp == NULL) |
529 | 0 | goto err; |
530 | 0 | if (!sk_BIGNUM_insert(factors, tmp, sk_BIGNUM_num(factors))) |
531 | 0 | goto err; |
532 | 0 | } |
533 | | |
534 | 0 | if (BN_cmp(rsa->p, rsa->q) < 0) { |
535 | 0 | tmp = rsa->p; |
536 | 0 | rsa->p = rsa->q; |
537 | 0 | rsa->q = tmp; |
538 | | /* mirror this in our factor stack */ |
539 | 0 | if (!sk_BIGNUM_insert(factors, sk_BIGNUM_delete(factors, 0), 1)) |
540 | 0 | goto err; |
541 | 0 | } |
542 | | |
543 | | /* calculate d */ |
544 | | |
545 | | /* p - 1 */ |
546 | 0 | if (!BN_sub(r1, rsa->p, BN_value_one())) |
547 | 0 | goto err; |
548 | | /* q - 1 */ |
549 | 0 | if (!BN_sub(r2, rsa->q, BN_value_one())) |
550 | 0 | goto err; |
551 | | /* (p - 1)(q - 1) */ |
552 | 0 | if (!BN_mul(r0, r1, r2, ctx)) |
553 | 0 | goto err; |
554 | | /* multi-prime */ |
555 | 0 | for (i = 2; i < primes; i++) { |
556 | 0 | pinfo = sk_RSA_PRIME_INFO_value(prime_infos, i - 2); |
557 | | /* save r_i - 1 to pinfo->d temporarily */ |
558 | 0 | if (!BN_sub(pinfo->d, pinfo->r, BN_value_one())) |
559 | 0 | goto err; |
560 | 0 | if (!BN_mul(r0, r0, pinfo->d, ctx)) |
561 | 0 | goto err; |
562 | 0 | } |
563 | | |
564 | 0 | BN_set_flags(r0, BN_FLG_CONSTTIME); |
565 | 0 | if (BN_mod_inverse(rsa->d, rsa->e, r0, ctx) == NULL) { |
566 | 0 | goto err; /* d */ |
567 | 0 | } |
568 | | |
569 | | /* derive any missing exponents and coefficients */ |
570 | 0 | if (!ossl_rsa_multiprime_derive(rsa, factors, exps, coeffs)) |
571 | 0 | goto err; |
572 | | |
573 | | /* |
574 | | * first 2 factors/exps are already tracked in p/q/dmq1/dmp1 |
575 | | * and the first coeff is in iqmp, so pop those off the stack |
576 | | * Note, the first 2 factors/exponents are already tracked by p and q |
577 | | * assign dmp1/dmq1 and iqmp |
578 | | * the remaining pinfo values are separately allocated, so copy and delete |
579 | | * those |
580 | | */ |
581 | 0 | BN_clear_free(sk_BIGNUM_delete(factors, 0)); |
582 | 0 | BN_clear_free(sk_BIGNUM_delete(factors, 0)); |
583 | 0 | rsa->dmp1 = sk_BIGNUM_delete(exps, 0); |
584 | 0 | rsa->dmq1 = sk_BIGNUM_delete(exps, 0); |
585 | 0 | rsa->iqmp = sk_BIGNUM_delete(coeffs, 0); |
586 | 0 | for (i = 2; i < primes; i++) { |
587 | 0 | pinfo = sk_RSA_PRIME_INFO_value(prime_infos, i - 2); |
588 | 0 | tmp = sk_BIGNUM_delete(factors, 0); |
589 | 0 | BN_copy(pinfo->r, tmp); |
590 | 0 | BN_clear_free(tmp); |
591 | 0 | tmp = sk_BIGNUM_delete(exps, 0); |
592 | 0 | tmp2 = BN_copy(pinfo->d, tmp); |
593 | 0 | BN_clear_free(tmp); |
594 | 0 | if (tmp2 == NULL) |
595 | 0 | goto err; |
596 | 0 | tmp = sk_BIGNUM_delete(coeffs, 0); |
597 | 0 | tmp2 = BN_copy(pinfo->t, tmp); |
598 | 0 | BN_clear_free(tmp); |
599 | 0 | if (tmp2 == NULL) |
600 | 0 | goto err; |
601 | 0 | } |
602 | 0 | ok = 1; |
603 | 0 | err: |
604 | 0 | sk_BIGNUM_free(factors); |
605 | 0 | sk_BIGNUM_free(exps); |
606 | 0 | sk_BIGNUM_free(coeffs); |
607 | 0 | if (ok == -1) { |
608 | 0 | ERR_raise(ERR_LIB_RSA, ERR_R_BN_LIB); |
609 | 0 | ok = 0; |
610 | 0 | } |
611 | 0 | BN_CTX_end(ctx); |
612 | 0 | BN_CTX_free(ctx); |
613 | 0 | return ok; |
614 | 0 | } |
615 | | #endif /* FIPS_MODULE */ |
616 | | |
617 | | static int rsa_keygen(OSSL_LIB_CTX *libctx, RSA *rsa, int bits, int primes, |
618 | | BIGNUM *e_value, BN_GENCB *cb, int pairwise_test, |
619 | | uint32_t a, uint32_t b) |
620 | 0 | { |
621 | 0 | int ok = 0; |
622 | |
|
623 | | #ifdef FIPS_MODULE |
624 | | ok = ossl_rsa_sp800_56b_generate_key(rsa, bits, e_value, cb, a, b); |
625 | | pairwise_test = 1; /* FIPS MODE needs to always run the pairwise test */ |
626 | | #else |
627 | | /* |
628 | | * Only multi-prime keys or insecure keys with a small key length or a |
629 | | * public exponent <= 2^16 will use the older rsa_multiprime_keygen(). |
630 | | */ |
631 | 0 | if (primes == 2 |
632 | 0 | && bits >= 2048 |
633 | 0 | && (e_value == NULL || BN_num_bits(e_value) > 16)) |
634 | 0 | ok = ossl_rsa_sp800_56b_generate_key(rsa, bits, e_value, cb, a, b); |
635 | 0 | else |
636 | 0 | ok = rsa_multiprime_keygen(rsa, bits, primes, e_value, cb); |
637 | 0 | #endif /* FIPS_MODULE */ |
638 | |
|
639 | 0 | if (pairwise_test && ok > 0) { |
640 | 0 | OSSL_CALLBACK *stcb = NULL; |
641 | 0 | void *stcbarg = NULL; |
642 | |
|
643 | 0 | OSSL_SELF_TEST_get_callback(libctx, &stcb, &stcbarg); |
644 | 0 | ok = rsa_keygen_pairwise_test(rsa, stcb, stcbarg); |
645 | 0 | if (!ok) { |
646 | | /* Clear intermediate results */ |
647 | 0 | BN_clear_free(rsa->d); |
648 | 0 | BN_clear_free(rsa->p); |
649 | 0 | BN_clear_free(rsa->q); |
650 | 0 | BN_clear_free(rsa->dmp1); |
651 | 0 | BN_clear_free(rsa->dmq1); |
652 | 0 | BN_clear_free(rsa->iqmp); |
653 | 0 | rsa->d = NULL; |
654 | 0 | rsa->p = NULL; |
655 | 0 | rsa->q = NULL; |
656 | 0 | rsa->dmp1 = NULL; |
657 | 0 | rsa->dmq1 = NULL; |
658 | 0 | rsa->iqmp = NULL; |
659 | 0 | } |
660 | 0 | } |
661 | 0 | return ok; |
662 | 0 | } |
663 | | |
664 | | /* |
665 | | * AS10.35 (and its VEs/TEs) of the FIPS 140-3 standard requires a PCT for every |
666 | | * generated key pair. There are 3 options: |
667 | | * 1) If the key pair is to be used for key transport (asymmetric cipher), the |
668 | | * PCT consists of encrypting a plaintext, verifying that the result |
669 | | * (ciphertext) is not equal to the plaintext, decrypting the ciphertext, and |
670 | | * verifying that the result is equal to the plaintext. |
671 | | * 2) If the key pair is to be used for digital signatures, the PCT consists of |
672 | | * computing and verifying a signature. |
673 | | * 3) If the key pair is to be used for key agreement, the exact PCT is defined |
674 | | * in the applicable standards. For RSA-based schemes, this is defined in |
675 | | * SP 800-56Br2 (Section 6.4.1.1) as: |
676 | | * "The owner shall perform a pair-wise consistency test by verifying that m |
677 | | * = (m^e)^d mod n for some integer m satisfying 1 < m < (n - 1)." |
678 | | * |
679 | | * OpenSSL implements all three use cases: RSA-OAEP for key transport, |
680 | | * RSA signatures with PKCS#1 v1.5 or PSS padding, and KAS-IFC-SSC (KAS1/KAS2) |
681 | | * using RSASVE. |
682 | | * |
683 | | * According to FIPS 140-3 IG 10.3.A, if at the time when the PCT is performed |
684 | | * the keys' intended usage is not known, then any of the three PCTs described |
685 | | * in AS10.35 shall be performed on this key pair. |
686 | | * |
687 | | * Because of this allowance from the IG, the simplest option is 3, i.e. |
688 | | * RSA_public_encrypt() and RSA_private_decrypt() with RSA_NO_PADDING. |
689 | | */ |
690 | | static int rsa_keygen_pairwise_test(RSA *rsa, OSSL_CALLBACK *cb, void *cbarg) |
691 | 0 | { |
692 | 0 | int ret = 0; |
693 | 0 | unsigned char *plaintxt = NULL; |
694 | 0 | unsigned char *ciphertxt = NULL; |
695 | 0 | unsigned char *decoded = NULL; |
696 | 0 | int plaintxt_len; |
697 | 0 | int ciphertxt_len; |
698 | 0 | int decoded_len; |
699 | 0 | int padding = RSA_NO_PADDING; |
700 | 0 | OSSL_SELF_TEST *st = NULL; |
701 | |
|
702 | 0 | st = OSSL_SELF_TEST_new(cb, cbarg); |
703 | 0 | if (st == NULL) |
704 | 0 | goto err; |
705 | 0 | OSSL_SELF_TEST_onbegin(st, OSSL_SELF_TEST_TYPE_PCT, |
706 | 0 | OSSL_SELF_TEST_DESC_PCT_RSA); |
707 | | |
708 | | /* |
709 | | * For RSA_NO_PADDING, RSA_public_encrypt() and RSA_private_decrypt() |
710 | | * require the 'to' and 'from' parameters to have equal length and a |
711 | | * maximum of RSA_size() - allocate space for plaintxt, ciphertxt, and |
712 | | * decoded. |
713 | | */ |
714 | 0 | plaintxt_len = RSA_size(rsa); |
715 | 0 | plaintxt = OPENSSL_calloc(plaintxt_len, 3); |
716 | 0 | if (plaintxt == NULL) |
717 | 0 | goto err; |
718 | 0 | ciphertxt = plaintxt + plaintxt_len; |
719 | 0 | decoded = ciphertxt + plaintxt_len; |
720 | | |
721 | | /* SP 800-56Br2 Section 6.4.1.1 requires that plaintext is greater than 1 */ |
722 | 0 | plaintxt[plaintxt_len - 1] = 2; |
723 | |
|
724 | 0 | ciphertxt_len = RSA_public_encrypt(plaintxt_len, plaintxt, ciphertxt, rsa, |
725 | 0 | padding); |
726 | 0 | if (ciphertxt_len <= 0) |
727 | 0 | goto err; |
728 | | |
729 | 0 | OSSL_SELF_TEST_oncorrupt_byte(st, ciphertxt); |
730 | |
|
731 | 0 | decoded_len = RSA_private_decrypt(ciphertxt_len, ciphertxt, decoded, rsa, |
732 | 0 | padding); |
733 | 0 | if (decoded_len != plaintxt_len |
734 | 0 | || memcmp(decoded, plaintxt, decoded_len) != 0) |
735 | 0 | goto err; |
736 | | |
737 | 0 | ret = 1; |
738 | 0 | err: |
739 | 0 | OSSL_SELF_TEST_onend(st, ret); |
740 | 0 | OSSL_SELF_TEST_free(st); |
741 | 0 | OPENSSL_free(plaintxt); |
742 | |
|
743 | 0 | return ret; |
744 | 0 | } |