1 /* $OpenBSD: dh.c,v 1.62 2016/12/15 21:20:41 dtucker Exp $ */
3 * Copyright (c) 2000 Niels Provos. All rights reserved.
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
8 * 1. Redistributions of source code must retain the above copyright
9 * notice, this list of conditions and the following disclaimer.
10 * 2. Redistributions in binary form must reproduce the above copyright
11 * notice, this list of conditions and the following disclaimer in the
12 * documentation and/or other materials provided with the distribution.
14 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
15 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
16 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
17 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
18 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
19 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
20 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
21 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
22 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
23 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
29 #include <openssl/bn.h>
30 #include <openssl/dh.h>
40 #include "pathnames.h"
46 parse_prime(int linenum
, char *line
, struct dhgroup
*dhg
)
49 char *strsize
, *gen
, *prime
;
50 const char *errstr
= NULL
;
53 dhg
->p
= dhg
->g
= NULL
;
55 if ((arg
= strdelim(&cp
)) == NULL
)
57 /* Ignore leading whitespace */
60 if (!arg
|| !*arg
|| *arg
== '#')
64 if (cp
== NULL
|| *arg
== '\0')
66 arg
= strsep(&cp
, " "); /* type */
67 if (cp
== NULL
|| *arg
== '\0')
69 /* Ensure this is a safe prime */
70 n
= strtonum(arg
, 0, 5, &errstr
);
71 if (errstr
!= NULL
|| n
!= MODULI_TYPE_SAFE
) {
72 error("moduli:%d: type is not %d", linenum
, MODULI_TYPE_SAFE
);
75 arg
= strsep(&cp
, " "); /* tests */
76 if (cp
== NULL
|| *arg
== '\0')
78 /* Ensure prime has been tested and is not composite */
79 n
= strtonum(arg
, 0, 0x1f, &errstr
);
81 (n
& MODULI_TESTS_COMPOSITE
) || !(n
& ~MODULI_TESTS_COMPOSITE
)) {
82 error("moduli:%d: invalid moduli tests flag", linenum
);
85 arg
= strsep(&cp
, " "); /* tries */
86 if (cp
== NULL
|| *arg
== '\0')
88 n
= strtonum(arg
, 0, 1<<30, &errstr
);
89 if (errstr
!= NULL
|| n
== 0) {
90 error("moduli:%d: invalid primality trial count", linenum
);
93 strsize
= strsep(&cp
, " "); /* size */
94 if (cp
== NULL
|| *strsize
== '\0' ||
95 (dhg
->size
= (int)strtonum(strsize
, 0, 64*1024, &errstr
)) == 0 ||
97 error("moduli:%d: invalid prime length", linenum
);
100 /* The whole group is one bit larger */
102 gen
= strsep(&cp
, " "); /* gen */
103 if (cp
== NULL
|| *gen
== '\0')
105 prime
= strsep(&cp
, " "); /* prime */
106 if (cp
!= NULL
|| *prime
== '\0') {
108 error("moduli:%d: truncated", linenum
);
112 if ((dhg
->g
= BN_new()) == NULL
||
113 (dhg
->p
= BN_new()) == NULL
) {
114 error("parse_prime: BN_new failed");
117 if (BN_hex2bn(&dhg
->g
, gen
) == 0) {
118 error("moduli:%d: could not parse generator value", linenum
);
121 if (BN_hex2bn(&dhg
->p
, prime
) == 0) {
122 error("moduli:%d: could not parse prime value", linenum
);
125 if (BN_num_bits(dhg
->p
) != dhg
->size
) {
126 error("moduli:%d: prime has wrong size: actual %d listed %d",
127 linenum
, BN_num_bits(dhg
->p
), dhg
->size
- 1);
130 if (BN_cmp(dhg
->g
, BN_value_one()) <= 0) {
131 error("moduli:%d: generator is invalid", linenum
);
138 BN_clear_free(dhg
->g
);
140 BN_clear_free(dhg
->p
);
141 dhg
->g
= dhg
->p
= NULL
;
146 choose_dh(int min
, int wantbits
, int max
)
150 int best
, bestcount
, which
;
154 if ((f
= fopen(_PATH_DH_MODULI
, "r")) == NULL
) {
155 logit("WARNING: could not open %s (%s), using fixed modulus",
156 _PATH_DH_MODULI
, strerror(errno
));
157 return (dh_new_group_fallback(max
));
161 best
= bestcount
= 0;
162 while (fgets(line
, sizeof(line
), f
)) {
164 if (!parse_prime(linenum
, line
, &dhg
))
166 BN_clear_free(dhg
.g
);
167 BN_clear_free(dhg
.p
);
169 if (dhg
.size
> max
|| dhg
.size
< min
)
172 if ((dhg
.size
> wantbits
&& dhg
.size
< best
) ||
173 (dhg
.size
> best
&& best
< wantbits
)) {
177 if (dhg
.size
== best
)
182 if (bestcount
== 0) {
184 logit("WARNING: no suitable primes in %s", _PATH_DH_MODULI
);
185 return (dh_new_group_fallback(max
));
189 which
= arc4random_uniform(bestcount
);
190 while (fgets(line
, sizeof(line
), f
)) {
191 if (!parse_prime(linenum
, line
, &dhg
))
193 if ((dhg
.size
> max
|| dhg
.size
< min
) ||
195 linenum
++ != which
) {
196 BN_clear_free(dhg
.g
);
197 BN_clear_free(dhg
.p
);
203 if (linenum
!= which
+1) {
204 logit("WARNING: line %d disappeared in %s, giving up",
205 which
, _PATH_DH_MODULI
);
206 return (dh_new_group_fallback(max
));
209 return (dh_new_group(dhg
.g
, dhg
.p
));
212 /* diffie-hellman-groupN-sha1 */
215 dh_pub_is_valid(DH
*dh
, BIGNUM
*dh_pub
)
218 int n
= BN_num_bits(dh_pub
);
223 logit("invalid public DH value: negative");
226 if (BN_cmp(dh_pub
, BN_value_one()) != 1) { /* pub_exp <= 1 */
227 logit("invalid public DH value: <= 1");
231 if ((tmp
= BN_new()) == NULL
) {
232 error("%s: BN_new failed", __func__
);
235 if (!BN_sub(tmp
, dh
->p
, BN_value_one()) ||
236 BN_cmp(dh_pub
, tmp
) != -1) { /* pub_exp > p-2 */
238 logit("invalid public DH value: >= p-1");
243 for (i
= 0; i
<= n
; i
++)
244 if (BN_is_bit_set(dh_pub
, i
))
246 debug2("bits set: %d/%d", bits_set
, BN_num_bits(dh
->p
));
249 * if g==2 and bits_set==1 then computing log_g(dh_pub) is trivial
252 logit("invalid public DH value (%d/%d)",
253 bits_set
, BN_num_bits(dh
->p
));
260 dh_gen_key(DH
*dh
, int need
)
264 if (need
< 0 || dh
->p
== NULL
||
265 (pbits
= BN_num_bits(dh
->p
)) <= 0 ||
266 need
> INT_MAX
/ 2 || 2 * need
> pbits
)
267 return SSH_ERR_INVALID_ARGUMENT
;
271 * Pollard Rho, Big step/Little Step attacks are O(sqrt(n)),
272 * so double requested need here.
274 dh
->length
= MINIMUM(need
* 2, pbits
- 1);
275 if (DH_generate_key(dh
) == 0 ||
276 !dh_pub_is_valid(dh
, dh
->pub_key
)) {
277 BN_clear_free(dh
->priv_key
);
278 return SSH_ERR_LIBCRYPTO_ERROR
;
284 dh_new_group_asc(const char *gen
, const char *modulus
)
288 if ((dh
= DH_new()) == NULL
)
290 if (BN_hex2bn(&dh
->p
, modulus
) == 0 ||
291 BN_hex2bn(&dh
->g
, gen
) == 0) {
299 * This just returns the group, we still need to generate the exchange
304 dh_new_group(BIGNUM
*gen
, BIGNUM
*modulus
)
308 if ((dh
= DH_new()) == NULL
)
316 /* rfc2409 "Second Oakley Group" (1024 bits) */
320 static char *gen
= "2", *group1
=
321 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
322 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
323 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
324 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
325 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE65381"
326 "FFFFFFFF" "FFFFFFFF";
328 return (dh_new_group_asc(gen
, group1
));
331 /* rfc3526 group 14 "2048-bit MODP Group" */
335 static char *gen
= "2", *group14
=
336 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
337 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
338 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
339 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
340 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
341 "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
342 "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
343 "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
344 "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
345 "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
346 "15728E5A" "8AACAA68" "FFFFFFFF" "FFFFFFFF";
348 return (dh_new_group_asc(gen
, group14
));
351 /* rfc3526 group 16 "4096-bit MODP Group" */
355 static char *gen
= "2", *group16
=
356 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
357 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
358 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
359 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
360 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
361 "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
362 "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
363 "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
364 "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
365 "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
366 "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
367 "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
368 "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
369 "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
370 "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
371 "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
372 "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
373 "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
374 "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
375 "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
376 "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34063199"
377 "FFFFFFFF" "FFFFFFFF";
379 return (dh_new_group_asc(gen
, group16
));
382 /* rfc3526 group 18 "8192-bit MODP Group" */
386 static char *gen
= "2", *group16
=
387 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
388 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
389 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
390 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
391 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
392 "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
393 "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
394 "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
395 "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
396 "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
397 "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
398 "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
399 "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
400 "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
401 "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
402 "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
403 "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
404 "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
405 "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
406 "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
407 "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34028492"
408 "36C3FAB4" "D27C7026" "C1D4DCB2" "602646DE" "C9751E76" "3DBA37BD"
409 "F8FF9406" "AD9E530E" "E5DB382F" "413001AE" "B06A53ED" "9027D831"
410 "179727B0" "865A8918" "DA3EDBEB" "CF9B14ED" "44CE6CBA" "CED4BB1B"
411 "DB7F1447" "E6CC254B" "33205151" "2BD7AF42" "6FB8F401" "378CD2BF"
412 "5983CA01" "C64B92EC" "F032EA15" "D1721D03" "F482D7CE" "6E74FEF6"
413 "D55E702F" "46980C82" "B5A84031" "900B1C9E" "59E7C97F" "BEC7E8F3"
414 "23A97A7E" "36CC88BE" "0F1D45B7" "FF585AC5" "4BD407B2" "2B4154AA"
415 "CC8F6D7E" "BF48E1D8" "14CC5ED2" "0F8037E0" "A79715EE" "F29BE328"
416 "06A1D58B" "B7C5DA76" "F550AA3D" "8A1FBFF0" "EB19CCB1" "A313D55C"
417 "DA56C9EC" "2EF29632" "387FE8D7" "6E3C0468" "043E8F66" "3F4860EE"
418 "12BF2D5B" "0B7474D6" "E694F91E" "6DBE1159" "74A3926F" "12FEE5E4"
419 "38777CB6" "A932DF8C" "D8BEC4D0" "73B931BA" "3BC832B6" "8D9DD300"
420 "741FA7BF" "8AFC47ED" "2576F693" "6BA42466" "3AAB639C" "5AE4F568"
421 "3423B474" "2BF1C978" "238F16CB" "E39D652D" "E3FDB8BE" "FC848AD9"
422 "22222E04" "A4037C07" "13EB57A8" "1A23F0C7" "3473FC64" "6CEA306B"
423 "4BCBC886" "2F8385DD" "FA9D4B7F" "A2C087E8" "79683303" "ED5BDD3A"
424 "062B3CF5" "B3A278A6" "6D2A13F8" "3F44F82D" "DF310EE0" "74AB6A36"
425 "4597E899" "A0255DC1" "64F31CC5" "0846851D" "F9AB4819" "5DED7EA1"
426 "B1D510BD" "7EE74D73" "FAF36BC3" "1ECFA268" "359046F4" "EB879F92"
427 "4009438B" "481C6CD7" "889A002E" "D5EE382B" "C9190DA6" "FC026E47"
428 "9558E447" "5677E9AA" "9E3050E2" "765694DF" "C81F56E8" "80B96E71"
429 "60C980DD" "98EDD3DF" "FFFFFFFF" "FFFFFFFF";
431 return (dh_new_group_asc(gen
, group16
));
434 /* Select fallback group used by DH-GEX if moduli file cannot be read. */
436 dh_new_group_fallback(int max
)
438 debug3("%s: requested max size %d", __func__
, max
);
440 debug3("using 2k bit group 14");
441 return dh_new_group14();
442 } else if (max
< 6144) {
443 debug3("using 4k bit group 16");
444 return dh_new_group16();
446 debug3("using 8k bit group 18");
447 return dh_new_group18();
451 * Estimates the group order for a Diffie-Hellman group that has an
452 * attack complexity approximately the same as O(2**bits).
453 * Values from NIST Special Publication 800-57: Recommendation for Key
454 * Management Part 1 (rev 3) limited by the recommended maximum value
455 * from RFC4419 section 3.
458 dh_estimate(int bits
)