1 /* $OpenBSD: dh.c,v 1.60 2016/05/02 10:26:04 djm 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.
28 #include <sys/param.h> /* MIN */
30 #include <openssl/bn.h>
31 #include <openssl/dh.h>
41 #include "pathnames.h"
47 parse_prime(int linenum
, char *line
, struct dhgroup
*dhg
)
50 char *strsize
, *gen
, *prime
;
51 const char *errstr
= NULL
;
54 dhg
->p
= dhg
->g
= NULL
;
56 if ((arg
= strdelim(&cp
)) == NULL
)
58 /* Ignore leading whitespace */
61 if (!arg
|| !*arg
|| *arg
== '#')
65 if (cp
== NULL
|| *arg
== '\0')
67 arg
= strsep(&cp
, " "); /* type */
68 if (cp
== NULL
|| *arg
== '\0')
70 /* Ensure this is a safe prime */
71 n
= strtonum(arg
, 0, 5, &errstr
);
72 if (errstr
!= NULL
|| n
!= MODULI_TYPE_SAFE
) {
73 error("moduli:%d: type is not %d", linenum
, MODULI_TYPE_SAFE
);
76 arg
= strsep(&cp
, " "); /* tests */
77 if (cp
== NULL
|| *arg
== '\0')
79 /* Ensure prime has been tested and is not composite */
80 n
= strtonum(arg
, 0, 0x1f, &errstr
);
82 (n
& MODULI_TESTS_COMPOSITE
) || !(n
& ~MODULI_TESTS_COMPOSITE
)) {
83 error("moduli:%d: invalid moduli tests flag", linenum
);
86 arg
= strsep(&cp
, " "); /* tries */
87 if (cp
== NULL
|| *arg
== '\0')
89 n
= strtonum(arg
, 0, 1<<30, &errstr
);
90 if (errstr
!= NULL
|| n
== 0) {
91 error("moduli:%d: invalid primality trial count", linenum
);
94 strsize
= strsep(&cp
, " "); /* size */
95 if (cp
== NULL
|| *strsize
== '\0' ||
96 (dhg
->size
= (int)strtonum(strsize
, 0, 64*1024, &errstr
)) == 0 ||
98 error("moduli:%d: invalid prime length", linenum
);
101 /* The whole group is one bit larger */
103 gen
= strsep(&cp
, " "); /* gen */
104 if (cp
== NULL
|| *gen
== '\0')
106 prime
= strsep(&cp
, " "); /* prime */
107 if (cp
!= NULL
|| *prime
== '\0') {
109 error("moduli:%d: truncated", linenum
);
113 if ((dhg
->g
= BN_new()) == NULL
||
114 (dhg
->p
= BN_new()) == NULL
) {
115 error("parse_prime: BN_new failed");
118 if (BN_hex2bn(&dhg
->g
, gen
) == 0) {
119 error("moduli:%d: could not parse generator value", linenum
);
122 if (BN_hex2bn(&dhg
->p
, prime
) == 0) {
123 error("moduli:%d: could not parse prime value", linenum
);
126 if (BN_num_bits(dhg
->p
) != dhg
->size
) {
127 error("moduli:%d: prime has wrong size: actual %d listed %d",
128 linenum
, BN_num_bits(dhg
->p
), dhg
->size
- 1);
131 if (BN_cmp(dhg
->g
, BN_value_one()) <= 0) {
132 error("moduli:%d: generator is invalid", linenum
);
139 BN_clear_free(dhg
->g
);
141 BN_clear_free(dhg
->p
);
142 dhg
->g
= dhg
->p
= NULL
;
147 choose_dh(int min
, int wantbits
, int max
)
151 int best
, bestcount
, which
;
155 if ((f
= fopen(_PATH_DH_MODULI
, "r")) == NULL
) {
156 logit("WARNING: could open open %s (%s), using fixed modulus",
157 _PATH_DH_MODULI
, strerror(errno
));
158 return (dh_new_group_fallback(max
));
162 best
= bestcount
= 0;
163 while (fgets(line
, sizeof(line
), f
)) {
165 if (!parse_prime(linenum
, line
, &dhg
))
167 BN_clear_free(dhg
.g
);
168 BN_clear_free(dhg
.p
);
170 if (dhg
.size
> max
|| dhg
.size
< min
)
173 if ((dhg
.size
> wantbits
&& dhg
.size
< best
) ||
174 (dhg
.size
> best
&& best
< wantbits
)) {
178 if (dhg
.size
== best
)
183 if (bestcount
== 0) {
185 logit("WARNING: no suitable primes in %s", _PATH_DH_MODULI
);
186 return (dh_new_group_fallback(max
));
190 which
= arc4random_uniform(bestcount
);
191 while (fgets(line
, sizeof(line
), f
)) {
192 if (!parse_prime(linenum
, line
, &dhg
))
194 if ((dhg
.size
> max
|| dhg
.size
< min
) ||
196 linenum
++ != which
) {
197 BN_clear_free(dhg
.g
);
198 BN_clear_free(dhg
.p
);
204 if (linenum
!= which
+1) {
205 logit("WARNING: line %d disappeared in %s, giving up",
206 which
, _PATH_DH_MODULI
);
207 return (dh_new_group_fallback(max
));
210 return (dh_new_group(dhg
.g
, dhg
.p
));
213 /* diffie-hellman-groupN-sha1 */
216 dh_pub_is_valid(DH
*dh
, BIGNUM
*dh_pub
)
219 int n
= BN_num_bits(dh_pub
);
224 logit("invalid public DH value: negative");
227 if (BN_cmp(dh_pub
, BN_value_one()) != 1) { /* pub_exp <= 1 */
228 logit("invalid public DH value: <= 1");
232 if ((tmp
= BN_new()) == NULL
) {
233 error("%s: BN_new failed", __func__
);
236 if (!BN_sub(tmp
, dh
->p
, BN_value_one()) ||
237 BN_cmp(dh_pub
, tmp
) != -1) { /* pub_exp > p-2 */
239 logit("invalid public DH value: >= p-1");
244 for (i
= 0; i
<= n
; i
++)
245 if (BN_is_bit_set(dh_pub
, i
))
247 debug2("bits set: %d/%d", bits_set
, BN_num_bits(dh
->p
));
250 * if g==2 and bits_set==1 then computing log_g(dh_pub) is trivial
253 logit("invalid public DH value (%d/%d)",
254 bits_set
, BN_num_bits(dh
->p
));
261 dh_gen_key(DH
*dh
, int need
)
265 if (need
< 0 || dh
->p
== NULL
||
266 (pbits
= BN_num_bits(dh
->p
)) <= 0 ||
267 need
> INT_MAX
/ 2 || 2 * need
> pbits
)
268 return SSH_ERR_INVALID_ARGUMENT
;
272 * Pollard Rho, Big step/Little Step attacks are O(sqrt(n)),
273 * so double requested need here.
275 dh
->length
= MIN(need
* 2, pbits
- 1);
276 if (DH_generate_key(dh
) == 0 ||
277 !dh_pub_is_valid(dh
, dh
->pub_key
)) {
278 BN_clear_free(dh
->priv_key
);
279 return SSH_ERR_LIBCRYPTO_ERROR
;
285 dh_new_group_asc(const char *gen
, const char *modulus
)
289 if ((dh
= DH_new()) == NULL
)
291 if (BN_hex2bn(&dh
->p
, modulus
) == 0 ||
292 BN_hex2bn(&dh
->g
, gen
) == 0) {
300 * This just returns the group, we still need to generate the exchange
305 dh_new_group(BIGNUM
*gen
, BIGNUM
*modulus
)
309 if ((dh
= DH_new()) == NULL
)
317 /* rfc2409 "Second Oakley Group" (1024 bits) */
321 static char *gen
= "2", *group1
=
322 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
323 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
324 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
325 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
326 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE65381"
327 "FFFFFFFF" "FFFFFFFF";
329 return (dh_new_group_asc(gen
, group1
));
332 /* rfc3526 group 14 "2048-bit MODP Group" */
336 static char *gen
= "2", *group14
=
337 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
338 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
339 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
340 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
341 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
342 "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
343 "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
344 "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
345 "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
346 "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
347 "15728E5A" "8AACAA68" "FFFFFFFF" "FFFFFFFF";
349 return (dh_new_group_asc(gen
, group14
));
352 /* rfc3526 group 16 "4096-bit MODP Group" */
356 static char *gen
= "2", *group16
=
357 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
358 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
359 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
360 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
361 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
362 "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
363 "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
364 "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
365 "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
366 "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
367 "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
368 "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
369 "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
370 "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
371 "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
372 "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
373 "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
374 "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
375 "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
376 "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
377 "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34063199"
378 "FFFFFFFF" "FFFFFFFF";
380 return (dh_new_group_asc(gen
, group16
));
383 /* rfc3526 group 18 "8192-bit MODP Group" */
387 static char *gen
= "2", *group16
=
388 "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
389 "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
390 "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
391 "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
392 "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
393 "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
394 "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
395 "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
396 "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
397 "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
398 "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
399 "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
400 "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
401 "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
402 "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
403 "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
404 "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
405 "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
406 "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
407 "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
408 "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34028492"
409 "36C3FAB4" "D27C7026" "C1D4DCB2" "602646DE" "C9751E76" "3DBA37BD"
410 "F8FF9406" "AD9E530E" "E5DB382F" "413001AE" "B06A53ED" "9027D831"
411 "179727B0" "865A8918" "DA3EDBEB" "CF9B14ED" "44CE6CBA" "CED4BB1B"
412 "DB7F1447" "E6CC254B" "33205151" "2BD7AF42" "6FB8F401" "378CD2BF"
413 "5983CA01" "C64B92EC" "F032EA15" "D1721D03" "F482D7CE" "6E74FEF6"
414 "D55E702F" "46980C82" "B5A84031" "900B1C9E" "59E7C97F" "BEC7E8F3"
415 "23A97A7E" "36CC88BE" "0F1D45B7" "FF585AC5" "4BD407B2" "2B4154AA"
416 "CC8F6D7E" "BF48E1D8" "14CC5ED2" "0F8037E0" "A79715EE" "F29BE328"
417 "06A1D58B" "B7C5DA76" "F550AA3D" "8A1FBFF0" "EB19CCB1" "A313D55C"
418 "DA56C9EC" "2EF29632" "387FE8D7" "6E3C0468" "043E8F66" "3F4860EE"
419 "12BF2D5B" "0B7474D6" "E694F91E" "6DBE1159" "74A3926F" "12FEE5E4"
420 "38777CB6" "A932DF8C" "D8BEC4D0" "73B931BA" "3BC832B6" "8D9DD300"
421 "741FA7BF" "8AFC47ED" "2576F693" "6BA42466" "3AAB639C" "5AE4F568"
422 "3423B474" "2BF1C978" "238F16CB" "E39D652D" "E3FDB8BE" "FC848AD9"
423 "22222E04" "A4037C07" "13EB57A8" "1A23F0C7" "3473FC64" "6CEA306B"
424 "4BCBC886" "2F8385DD" "FA9D4B7F" "A2C087E8" "79683303" "ED5BDD3A"
425 "062B3CF5" "B3A278A6" "6D2A13F8" "3F44F82D" "DF310EE0" "74AB6A36"
426 "4597E899" "A0255DC1" "64F31CC5" "0846851D" "F9AB4819" "5DED7EA1"
427 "B1D510BD" "7EE74D73" "FAF36BC3" "1ECFA268" "359046F4" "EB879F92"
428 "4009438B" "481C6CD7" "889A002E" "D5EE382B" "C9190DA6" "FC026E47"
429 "9558E447" "5677E9AA" "9E3050E2" "765694DF" "C81F56E8" "80B96E71"
430 "60C980DD" "98EDD3DF" "FFFFFFFF" "FFFFFFFF";
432 return (dh_new_group_asc(gen
, group16
));
435 /* Select fallback group used by DH-GEX if moduli file cannot be read. */
437 dh_new_group_fallback(int max
)
439 debug3("%s: requested max size %d", __func__
, max
);
441 debug3("using 2k bit group 14");
442 return dh_new_group14();
443 } else if (max
< 6144) {
444 debug3("using 4k bit group 16");
445 return dh_new_group16();
447 debug3("using 8k bit group 18");
448 return dh_new_group18();
452 * Estimates the group order for a Diffie-Hellman group that has an
453 * attack complexity approximately the same as O(2**bits).
454 * Values from NIST Special Publication 800-57: Recommendation for Key
455 * Management Part 1 (rev 3) limited by the recommended maximum value
456 * from RFC4419 section 3.
459 dh_estimate(int bits
)