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Annotation of src/usr.bin/ssh/dh.c, Revision 1.61

1.61    ! deraadt     1: /* $OpenBSD: dh.c,v 1.60 2016/05/02 10:26:04 djm Exp $ */
1.1       provos      2: /*
                      3:  * Copyright (c) 2000 Niels Provos.  All rights reserved.
                      4:  *
                      5:  * Redistribution and use in source and binary forms, with or without
                      6:  * modification, are permitted provided that the following conditions
                      7:  * are met:
                      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.
                     13:  *
                     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.
                     24:  */
1.39      stevesk    25:
1.1       provos     26:
                     27: #include <openssl/bn.h>
                     28: #include <openssl/dh.h>
1.38      stevesk    29:
1.59      dtucker    30: #include <errno.h>
1.41      stevesk    31: #include <stdio.h>
1.40      stevesk    32: #include <stdlib.h>
1.38      stevesk    33: #include <string.h>
1.55      deraadt    34: #include <limits.h>
1.1       provos     35:
                     36: #include "dh.h"
1.5       markus     37: #include "pathnames.h"
1.6       markus     38: #include "log.h"
                     39: #include "misc.h"
1.54      markus     40: #include "ssherr.h"
1.1       provos     41:
1.17      itojun     42: static int
1.1       provos     43: parse_prime(int linenum, char *line, struct dhgroup *dhg)
                     44: {
                     45:        char *cp, *arg;
                     46:        char *strsize, *gen, *prime;
1.35      deraadt    47:        const char *errstr = NULL;
1.47      djm        48:        long long n;
1.1       provos     49:
1.51      markus     50:        dhg->p = dhg->g = NULL;
1.1       provos     51:        cp = line;
1.32      djm        52:        if ((arg = strdelim(&cp)) == NULL)
                     53:                return 0;
1.1       provos     54:        /* Ignore leading whitespace */
                     55:        if (*arg == '\0')
                     56:                arg = strdelim(&cp);
1.22      markus     57:        if (!arg || !*arg || *arg == '#')
1.1       provos     58:                return 0;
                     59:
                     60:        /* time */
                     61:        if (cp == NULL || *arg == '\0')
1.50      djm        62:                goto truncated;
1.1       provos     63:        arg = strsep(&cp, " "); /* type */
                     64:        if (cp == NULL || *arg == '\0')
1.50      djm        65:                goto truncated;
1.47      djm        66:        /* Ensure this is a safe prime */
                     67:        n = strtonum(arg, 0, 5, &errstr);
1.50      djm        68:        if (errstr != NULL || n != MODULI_TYPE_SAFE) {
                     69:                error("moduli:%d: type is not %d", linenum, MODULI_TYPE_SAFE);
1.47      djm        70:                goto fail;
1.50      djm        71:        }
1.1       provos     72:        arg = strsep(&cp, " "); /* tests */
                     73:        if (cp == NULL || *arg == '\0')
1.50      djm        74:                goto truncated;
1.47      djm        75:        /* Ensure prime has been tested and is not composite */
                     76:        n = strtonum(arg, 0, 0x1f, &errstr);
                     77:        if (errstr != NULL ||
1.50      djm        78:            (n & MODULI_TESTS_COMPOSITE) || !(n & ~MODULI_TESTS_COMPOSITE)) {
                     79:                error("moduli:%d: invalid moduli tests flag", linenum);
1.47      djm        80:                goto fail;
1.50      djm        81:        }
1.1       provos     82:        arg = strsep(&cp, " "); /* tries */
                     83:        if (cp == NULL || *arg == '\0')
1.50      djm        84:                goto truncated;
1.47      djm        85:        n = strtonum(arg, 0, 1<<30, &errstr);
1.50      djm        86:        if (errstr != NULL || n == 0) {
                     87:                error("moduli:%d: invalid primality trial count", linenum);
1.1       provos     88:                goto fail;
1.50      djm        89:        }
1.1       provos     90:        strsize = strsep(&cp, " "); /* size */
                     91:        if (cp == NULL || *strsize == '\0' ||
1.48      grunk      92:            (dhg->size = (int)strtonum(strsize, 0, 64*1024, &errstr)) == 0 ||
1.50      djm        93:            errstr) {
                     94:                error("moduli:%d: invalid prime length", linenum);
1.1       provos     95:                goto fail;
1.50      djm        96:        }
1.9       provos     97:        /* The whole group is one bit larger */
                     98:        dhg->size++;
1.1       provos     99:        gen = strsep(&cp, " "); /* gen */
                    100:        if (cp == NULL || *gen == '\0')
1.50      djm       101:                goto truncated;
1.1       provos    102:        prime = strsep(&cp, " "); /* prime */
1.50      djm       103:        if (cp != NULL || *prime == '\0') {
                    104:  truncated:
                    105:                error("moduli:%d: truncated", linenum);
1.1       provos    106:                goto fail;
1.50      djm       107:        }
1.1       provos    108:
1.54      markus    109:        if ((dhg->g = BN_new()) == NULL ||
                    110:            (dhg->p = BN_new()) == NULL) {
                    111:                error("parse_prime: BN_new failed");
                    112:                goto fail;
                    113:        }
1.50      djm       114:        if (BN_hex2bn(&dhg->g, gen) == 0) {
                    115:                error("moduli:%d: could not parse generator value", linenum);
                    116:                goto fail;
                    117:        }
                    118:        if (BN_hex2bn(&dhg->p, prime) == 0) {
                    119:                error("moduli:%d: could not parse prime value", linenum);
                    120:                goto fail;
                    121:        }
                    122:        if (BN_num_bits(dhg->p) != dhg->size) {
                    123:                error("moduli:%d: prime has wrong size: actual %d listed %d",
                    124:                    linenum, BN_num_bits(dhg->p), dhg->size - 1);
                    125:                goto fail;
                    126:        }
                    127:        if (BN_cmp(dhg->g, BN_value_one()) <= 0) {
                    128:                error("moduli:%d: generator is invalid", linenum);
                    129:                goto fail;
                    130:        }
                    131:        return 1;
1.10      provos    132:
1.1       provos    133:  fail:
1.50      djm       134:        if (dhg->g != NULL)
                    135:                BN_clear_free(dhg->g);
                    136:        if (dhg->p != NULL)
                    137:                BN_clear_free(dhg->p);
                    138:        dhg->g = dhg->p = NULL;
                    139:        return 0;
1.1       provos    140: }
                    141:
                    142: DH *
1.9       provos    143: choose_dh(int min, int wantbits, int max)
1.1       provos    144: {
                    145:        FILE *f;
1.28      dtucker   146:        char line[4096];
1.1       provos    147:        int best, bestcount, which;
                    148:        int linenum;
                    149:        struct dhgroup dhg;
                    150:
1.59      dtucker   151:        if ((f = fopen(_PATH_DH_MODULI, "r")) == NULL) {
                    152:                logit("WARNING: could open open %s (%s), using fixed modulus",
                    153:                    _PATH_DH_MODULI, strerror(errno));
1.57      dtucker   154:                return (dh_new_group_fallback(max));
1.1       provos    155:        }
                    156:
                    157:        linenum = 0;
                    158:        best = bestcount = 0;
                    159:        while (fgets(line, sizeof(line), f)) {
                    160:                linenum++;
                    161:                if (!parse_prime(linenum, line, &dhg))
                    162:                        continue;
1.19      markus    163:                BN_clear_free(dhg.g);
                    164:                BN_clear_free(dhg.p);
1.1       provos    165:
1.9       provos    166:                if (dhg.size > max || dhg.size < min)
                    167:                        continue;
                    168:
                    169:                if ((dhg.size > wantbits && dhg.size < best) ||
                    170:                    (dhg.size > best && best < wantbits)) {
1.1       provos    171:                        best = dhg.size;
                    172:                        bestcount = 0;
                    173:                }
                    174:                if (dhg.size == best)
                    175:                        bestcount++;
                    176:        }
1.16      provos    177:        rewind(f);
1.1       provos    178:
                    179:        if (bestcount == 0) {
1.16      provos    180:                fclose(f);
1.59      dtucker   181:                logit("WARNING: no suitable primes in %s", _PATH_DH_MODULI);
1.57      dtucker   182:                return (dh_new_group_fallback(max));
1.1       provos    183:        }
                    184:
                    185:        linenum = 0;
1.46      djm       186:        which = arc4random_uniform(bestcount);
1.1       provos    187:        while (fgets(line, sizeof(line), f)) {
                    188:                if (!parse_prime(linenum, line, &dhg))
1.9       provos    189:                        continue;
1.13      markus    190:                if ((dhg.size > max || dhg.size < min) ||
                    191:                    dhg.size != best ||
                    192:                    linenum++ != which) {
1.19      markus    193:                        BN_clear_free(dhg.g);
                    194:                        BN_clear_free(dhg.p);
1.1       provos    195:                        continue;
                    196:                }
                    197:                break;
                    198:        }
                    199:        fclose(f);
1.54      markus    200:        if (linenum != which+1) {
                    201:                logit("WARNING: line %d disappeared in %s, giving up",
1.59      dtucker   202:                    which, _PATH_DH_MODULI);
1.57      dtucker   203:                return (dh_new_group_fallback(max));
1.54      markus    204:        }
1.1       provos    205:
                    206:        return (dh_new_group(dhg.g, dhg.p));
1.11      markus    207: }
                    208:
1.30      djm       209: /* diffie-hellman-groupN-sha1 */
1.11      markus    210:
                    211: int
                    212: dh_pub_is_valid(DH *dh, BIGNUM *dh_pub)
                    213: {
                    214:        int i;
                    215:        int n = BN_num_bits(dh_pub);
                    216:        int bits_set = 0;
1.36      djm       217:        BIGNUM *tmp;
1.11      markus    218:
                    219:        if (dh_pub->neg) {
1.45      ray       220:                logit("invalid public DH value: negative");
1.11      markus    221:                return 0;
                    222:        }
1.36      djm       223:        if (BN_cmp(dh_pub, BN_value_one()) != 1) {      /* pub_exp <= 1 */
                    224:                logit("invalid public DH value: <= 1");
                    225:                return 0;
                    226:        }
                    227:
1.45      ray       228:        if ((tmp = BN_new()) == NULL) {
                    229:                error("%s: BN_new failed", __func__);
                    230:                return 0;
                    231:        }
1.36      djm       232:        if (!BN_sub(tmp, dh->p, BN_value_one()) ||
                    233:            BN_cmp(dh_pub, tmp) != -1) {                /* pub_exp > p-2 */
                    234:                BN_clear_free(tmp);
                    235:                logit("invalid public DH value: >= p-1");
                    236:                return 0;
                    237:        }
                    238:        BN_clear_free(tmp);
                    239:
1.11      markus    240:        for (i = 0; i <= n; i++)
                    241:                if (BN_is_bit_set(dh_pub, i))
                    242:                        bits_set++;
1.23      markus    243:        debug2("bits set: %d/%d", bits_set, BN_num_bits(dh->p));
1.11      markus    244:
1.58      djm       245:        /*
                    246:         * if g==2 and bits_set==1 then computing log_g(dh_pub) is trivial
                    247:         */
                    248:        if (bits_set < 4) {
                    249:                logit("invalid public DH value (%d/%d)",
                    250:                   bits_set, BN_num_bits(dh->p));
                    251:                return 0;
                    252:        }
                    253:        return 1;
1.11      markus    254: }
                    255:
1.54      markus    256: int
1.11      markus    257: dh_gen_key(DH *dh, int need)
                    258: {
1.53      djm       259:        int pbits;
1.11      markus    260:
1.54      markus    261:        if (need < 0 || dh->p == NULL ||
                    262:            (pbits = BN_num_bits(dh->p)) <= 0 ||
1.56      djm       263:            need > INT_MAX / 2 || 2 * need > pbits)
1.54      markus    264:                return SSH_ERR_INVALID_ARGUMENT;
1.58      djm       265:        if (need < 256)
                    266:                need = 256;
                    267:        /*
                    268:         * Pollard Rho, Big step/Little Step attacks are O(sqrt(n)),
                    269:         * so double requested need here.
                    270:         */
1.61    ! deraadt   271:        dh->length = MINIMUM(need * 2, pbits - 1);
1.54      markus    272:        if (DH_generate_key(dh) == 0 ||
                    273:            !dh_pub_is_valid(dh, dh->pub_key)) {
                    274:                BN_clear_free(dh->priv_key);
                    275:                return SSH_ERR_LIBCRYPTO_ERROR;
                    276:        }
                    277:        return 0;
1.11      markus    278: }
                    279:
                    280: DH *
                    281: dh_new_group_asc(const char *gen, const char *modulus)
                    282: {
                    283:        DH *dh;
                    284:
1.18      markus    285:        if ((dh = DH_new()) == NULL)
1.54      markus    286:                return NULL;
                    287:        if (BN_hex2bn(&dh->p, modulus) == 0 ||
                    288:            BN_hex2bn(&dh->g, gen) == 0) {
                    289:                DH_free(dh);
                    290:                return NULL;
                    291:        }
1.11      markus    292:        return (dh);
                    293: }
                    294:
                    295: /*
                    296:  * This just returns the group, we still need to generate the exchange
                    297:  * value.
                    298:  */
                    299:
                    300: DH *
                    301: dh_new_group(BIGNUM *gen, BIGNUM *modulus)
                    302: {
                    303:        DH *dh;
                    304:
1.18      markus    305:        if ((dh = DH_new()) == NULL)
1.54      markus    306:                return NULL;
1.11      markus    307:        dh->p = modulus;
                    308:        dh->g = gen;
                    309:
                    310:        return (dh);
                    311: }
                    312:
1.60      djm       313: /* rfc2409 "Second Oakley Group" (1024 bits) */
1.11      markus    314: DH *
                    315: dh_new_group1(void)
                    316: {
                    317:        static char *gen = "2", *group1 =
                    318:            "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
                    319:            "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
                    320:            "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
                    321:            "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
                    322:            "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE65381"
                    323:            "FFFFFFFF" "FFFFFFFF";
                    324:
                    325:        return (dh_new_group_asc(gen, group1));
1.30      djm       326: }
                    327:
1.60      djm       328: /* rfc3526 group 14 "2048-bit MODP Group" */
1.30      djm       329: DH *
                    330: dh_new_group14(void)
                    331: {
                    332:        static char *gen = "2", *group14 =
                    333:            "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
                    334:            "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
                    335:            "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
                    336:            "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
                    337:            "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
                    338:            "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
                    339:            "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
                    340:            "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
                    341:            "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
                    342:            "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
                    343:            "15728E5A" "8AACAA68" "FFFFFFFF" "FFFFFFFF";
                    344:
                    345:        return (dh_new_group_asc(gen, group14));
1.57      dtucker   346: }
                    347:
1.60      djm       348: /* rfc3526 group 16 "4096-bit MODP Group" */
1.57      dtucker   349: DH *
1.60      djm       350: dh_new_group16(void)
1.57      dtucker   351: {
                    352:        static char *gen = "2", *group16 =
                    353:            "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
                    354:            "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
                    355:            "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
                    356:            "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
                    357:            "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
                    358:            "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
                    359:            "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
                    360:            "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
                    361:            "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
                    362:            "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
                    363:            "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
                    364:            "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
                    365:            "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
                    366:            "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
                    367:            "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
                    368:            "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
                    369:            "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
                    370:            "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
                    371:            "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
                    372:            "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
                    373:            "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34063199"
                    374:            "FFFFFFFF" "FFFFFFFF";
                    375:
1.60      djm       376:        return (dh_new_group_asc(gen, group16));
                    377: }
                    378:
                    379: /* rfc3526 group 18 "8192-bit MODP Group" */
                    380: DH *
                    381: dh_new_group18(void)
                    382: {
                    383:        static char *gen = "2", *group16 =
                    384:            "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
                    385:            "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
                    386:            "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
                    387:            "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
                    388:            "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
                    389:            "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
                    390:            "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
                    391:            "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
                    392:            "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
                    393:            "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
                    394:            "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
                    395:            "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
                    396:            "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
                    397:            "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
                    398:            "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
                    399:            "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
                    400:            "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
                    401:            "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
                    402:            "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
                    403:            "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
                    404:            "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34028492"
                    405:            "36C3FAB4" "D27C7026" "C1D4DCB2" "602646DE" "C9751E76" "3DBA37BD"
                    406:            "F8FF9406" "AD9E530E" "E5DB382F" "413001AE" "B06A53ED" "9027D831"
                    407:            "179727B0" "865A8918" "DA3EDBEB" "CF9B14ED" "44CE6CBA" "CED4BB1B"
                    408:            "DB7F1447" "E6CC254B" "33205151" "2BD7AF42" "6FB8F401" "378CD2BF"
                    409:            "5983CA01" "C64B92EC" "F032EA15" "D1721D03" "F482D7CE" "6E74FEF6"
                    410:            "D55E702F" "46980C82" "B5A84031" "900B1C9E" "59E7C97F" "BEC7E8F3"
                    411:            "23A97A7E" "36CC88BE" "0F1D45B7" "FF585AC5" "4BD407B2" "2B4154AA"
                    412:            "CC8F6D7E" "BF48E1D8" "14CC5ED2" "0F8037E0" "A79715EE" "F29BE328"
                    413:            "06A1D58B" "B7C5DA76" "F550AA3D" "8A1FBFF0" "EB19CCB1" "A313D55C"
                    414:            "DA56C9EC" "2EF29632" "387FE8D7" "6E3C0468" "043E8F66" "3F4860EE"
                    415:            "12BF2D5B" "0B7474D6" "E694F91E" "6DBE1159" "74A3926F" "12FEE5E4"
                    416:            "38777CB6" "A932DF8C" "D8BEC4D0" "73B931BA" "3BC832B6" "8D9DD300"
                    417:            "741FA7BF" "8AFC47ED" "2576F693" "6BA42466" "3AAB639C" "5AE4F568"
                    418:            "3423B474" "2BF1C978" "238F16CB" "E39D652D" "E3FDB8BE" "FC848AD9"
                    419:            "22222E04" "A4037C07" "13EB57A8" "1A23F0C7" "3473FC64" "6CEA306B"
                    420:            "4BCBC886" "2F8385DD" "FA9D4B7F" "A2C087E8" "79683303" "ED5BDD3A"
                    421:            "062B3CF5" "B3A278A6" "6D2A13F8" "3F44F82D" "DF310EE0" "74AB6A36"
                    422:            "4597E899" "A0255DC1" "64F31CC5" "0846851D" "F9AB4819" "5DED7EA1"
                    423:            "B1D510BD" "7EE74D73" "FAF36BC3" "1ECFA268" "359046F4" "EB879F92"
                    424:            "4009438B" "481C6CD7" "889A002E" "D5EE382B" "C9190DA6" "FC026E47"
                    425:            "9558E447" "5677E9AA" "9E3050E2" "765694DF" "C81F56E8" "80B96E71"
                    426:            "60C980DD" "98EDD3DF" "FFFFFFFF" "FFFFFFFF";
                    427:
                    428:        return (dh_new_group_asc(gen, group16));
                    429: }
                    430:
                    431: /* Select fallback group used by DH-GEX if moduli file cannot be read. */
                    432: DH *
                    433: dh_new_group_fallback(int max)
                    434: {
                    435:        debug3("%s: requested max size %d", __func__, max);
                    436:        if (max < 3072) {
                    437:                debug3("using 2k bit group 14");
1.57      dtucker   438:                return dh_new_group14();
1.60      djm       439:        } else if (max < 6144) {
                    440:                debug3("using 4k bit group 16");
                    441:                return dh_new_group16();
1.57      dtucker   442:        }
1.60      djm       443:        debug3("using 8k bit group 18");
                    444:        return dh_new_group18();
1.12      markus    445: }
                    446:
                    447: /*
                    448:  * Estimates the group order for a Diffie-Hellman group that has an
1.52      dtucker   449:  * attack complexity approximately the same as O(2**bits).
                    450:  * Values from NIST Special Publication 800-57: Recommendation for Key
                    451:  * Management Part 1 (rev 3) limited by the recommended maximum value
                    452:  * from RFC4419 section 3.
1.12      markus    453:  */
1.54      markus    454: u_int
1.12      markus    455: dh_estimate(int bits)
                    456: {
1.52      dtucker   457:        if (bits <= 112)
                    458:                return 2048;
1.26      markus    459:        if (bits <= 128)
1.52      dtucker   460:                return 3072;
1.26      markus    461:        if (bits <= 192)
1.52      dtucker   462:                return 7680;
                    463:        return 8192;
1.1       provos    464: }