1*e4a9863fSDag-Erling Smørgrav /* $OpenBSD: dh.c,v 1.51 2013/07/02 12:31:43 markus Exp $ */ 25b9b2fafSBrian Feldman /* 35b9b2fafSBrian Feldman * Copyright (c) 2000 Niels Provos. All rights reserved. 45b9b2fafSBrian Feldman * 55b9b2fafSBrian Feldman * Redistribution and use in source and binary forms, with or without 65b9b2fafSBrian Feldman * modification, are permitted provided that the following conditions 75b9b2fafSBrian Feldman * are met: 85b9b2fafSBrian Feldman * 1. Redistributions of source code must retain the above copyright 95b9b2fafSBrian Feldman * notice, this list of conditions and the following disclaimer. 105b9b2fafSBrian Feldman * 2. Redistributions in binary form must reproduce the above copyright 115b9b2fafSBrian Feldman * notice, this list of conditions and the following disclaimer in the 125b9b2fafSBrian Feldman * documentation and/or other materials provided with the distribution. 135b9b2fafSBrian Feldman * 145b9b2fafSBrian Feldman * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 155b9b2fafSBrian Feldman * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 165b9b2fafSBrian Feldman * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 175b9b2fafSBrian Feldman * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 185b9b2fafSBrian Feldman * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 195b9b2fafSBrian Feldman * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 205b9b2fafSBrian Feldman * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 215b9b2fafSBrian Feldman * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 225b9b2fafSBrian Feldman * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 235b9b2fafSBrian Feldman * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 245b9b2fafSBrian Feldman */ 255b9b2fafSBrian Feldman 265b9b2fafSBrian Feldman #include "includes.h" 275b9b2fafSBrian Feldman 28761efaa7SDag-Erling Smørgrav #include <sys/param.h> 295b9b2fafSBrian Feldman 305b9b2fafSBrian Feldman #include <openssl/bn.h> 315b9b2fafSBrian Feldman #include <openssl/dh.h> 325b9b2fafSBrian Feldman 33761efaa7SDag-Erling Smørgrav #include <stdarg.h> 34761efaa7SDag-Erling Smørgrav #include <stdio.h> 35761efaa7SDag-Erling Smørgrav #include <stdlib.h> 36761efaa7SDag-Erling Smørgrav #include <string.h> 37761efaa7SDag-Erling Smørgrav 385b9b2fafSBrian Feldman #include "dh.h" 391e8db6e2SBrian Feldman #include "pathnames.h" 401e8db6e2SBrian Feldman #include "log.h" 411e8db6e2SBrian Feldman #include "misc.h" 425b9b2fafSBrian Feldman 43ae1f160dSDag-Erling Smørgrav static int 445b9b2fafSBrian Feldman parse_prime(int linenum, char *line, struct dhgroup *dhg) 455b9b2fafSBrian Feldman { 465b9b2fafSBrian Feldman char *cp, *arg; 475b9b2fafSBrian Feldman char *strsize, *gen, *prime; 48761efaa7SDag-Erling Smørgrav const char *errstr = NULL; 49d4af9e69SDag-Erling Smørgrav long long n; 505b9b2fafSBrian Feldman 51*e4a9863fSDag-Erling Smørgrav dhg->p = dhg->g = NULL; 525b9b2fafSBrian Feldman cp = line; 53761efaa7SDag-Erling Smørgrav if ((arg = strdelim(&cp)) == NULL) 54761efaa7SDag-Erling Smørgrav return 0; 555b9b2fafSBrian Feldman /* Ignore leading whitespace */ 565b9b2fafSBrian Feldman if (*arg == '\0') 575b9b2fafSBrian Feldman arg = strdelim(&cp); 584b17dab0SDag-Erling Smørgrav if (!arg || !*arg || *arg == '#') 595b9b2fafSBrian Feldman return 0; 605b9b2fafSBrian Feldman 615b9b2fafSBrian Feldman /* time */ 625b9b2fafSBrian Feldman if (cp == NULL || *arg == '\0') 63*e4a9863fSDag-Erling Smørgrav goto truncated; 645b9b2fafSBrian Feldman arg = strsep(&cp, " "); /* type */ 655b9b2fafSBrian Feldman if (cp == NULL || *arg == '\0') 66*e4a9863fSDag-Erling Smørgrav goto truncated; 67d4af9e69SDag-Erling Smørgrav /* Ensure this is a safe prime */ 68d4af9e69SDag-Erling Smørgrav n = strtonum(arg, 0, 5, &errstr); 69*e4a9863fSDag-Erling Smørgrav if (errstr != NULL || n != MODULI_TYPE_SAFE) { 70*e4a9863fSDag-Erling Smørgrav error("moduli:%d: type is not %d", linenum, MODULI_TYPE_SAFE); 71d4af9e69SDag-Erling Smørgrav goto fail; 72*e4a9863fSDag-Erling Smørgrav } 735b9b2fafSBrian Feldman arg = strsep(&cp, " "); /* tests */ 745b9b2fafSBrian Feldman if (cp == NULL || *arg == '\0') 75*e4a9863fSDag-Erling Smørgrav goto truncated; 76d4af9e69SDag-Erling Smørgrav /* Ensure prime has been tested and is not composite */ 77d4af9e69SDag-Erling Smørgrav n = strtonum(arg, 0, 0x1f, &errstr); 78d4af9e69SDag-Erling Smørgrav if (errstr != NULL || 79*e4a9863fSDag-Erling Smørgrav (n & MODULI_TESTS_COMPOSITE) || !(n & ~MODULI_TESTS_COMPOSITE)) { 80*e4a9863fSDag-Erling Smørgrav error("moduli:%d: invalid moduli tests flag", linenum); 81d4af9e69SDag-Erling Smørgrav goto fail; 82*e4a9863fSDag-Erling Smørgrav } 835b9b2fafSBrian Feldman arg = strsep(&cp, " "); /* tries */ 845b9b2fafSBrian Feldman if (cp == NULL || *arg == '\0') 85*e4a9863fSDag-Erling Smørgrav goto truncated; 86d4af9e69SDag-Erling Smørgrav n = strtonum(arg, 0, 1<<30, &errstr); 87*e4a9863fSDag-Erling Smørgrav if (errstr != NULL || n == 0) { 88*e4a9863fSDag-Erling Smørgrav error("moduli:%d: invalid primality trial count", linenum); 89d4af9e69SDag-Erling Smørgrav goto fail; 90*e4a9863fSDag-Erling Smørgrav } 915b9b2fafSBrian Feldman strsize = strsep(&cp, " "); /* size */ 925b9b2fafSBrian Feldman if (cp == NULL || *strsize == '\0' || 93b15c8340SDag-Erling Smørgrav (dhg->size = (int)strtonum(strsize, 0, 64*1024, &errstr)) == 0 || 94*e4a9863fSDag-Erling Smørgrav errstr) { 95*e4a9863fSDag-Erling Smørgrav error("moduli:%d: invalid prime length", linenum); 965b9b2fafSBrian Feldman goto fail; 97*e4a9863fSDag-Erling Smørgrav } 981e8db6e2SBrian Feldman /* The whole group is one bit larger */ 991e8db6e2SBrian Feldman dhg->size++; 1005b9b2fafSBrian Feldman gen = strsep(&cp, " "); /* gen */ 1015b9b2fafSBrian Feldman if (cp == NULL || *gen == '\0') 102*e4a9863fSDag-Erling Smørgrav goto truncated; 1035b9b2fafSBrian Feldman prime = strsep(&cp, " "); /* prime */ 104*e4a9863fSDag-Erling Smørgrav if (cp != NULL || *prime == '\0') { 105*e4a9863fSDag-Erling Smørgrav truncated: 106*e4a9863fSDag-Erling Smørgrav error("moduli:%d: truncated", linenum); 1075b9b2fafSBrian Feldman goto fail; 108*e4a9863fSDag-Erling Smørgrav } 1095b9b2fafSBrian Feldman 110ae1f160dSDag-Erling Smørgrav if ((dhg->g = BN_new()) == NULL) 111ae1f160dSDag-Erling Smørgrav fatal("parse_prime: BN_new failed"); 112ae1f160dSDag-Erling Smørgrav if ((dhg->p = BN_new()) == NULL) 113ae1f160dSDag-Erling Smørgrav fatal("parse_prime: BN_new failed"); 114*e4a9863fSDag-Erling Smørgrav if (BN_hex2bn(&dhg->g, gen) == 0) { 115*e4a9863fSDag-Erling Smørgrav error("moduli:%d: could not parse generator value", linenum); 116*e4a9863fSDag-Erling Smørgrav goto fail; 117*e4a9863fSDag-Erling Smørgrav } 118*e4a9863fSDag-Erling Smørgrav if (BN_hex2bn(&dhg->p, prime) == 0) { 119*e4a9863fSDag-Erling Smørgrav error("moduli:%d: could not parse prime value", linenum); 120*e4a9863fSDag-Erling Smørgrav goto fail; 121*e4a9863fSDag-Erling Smørgrav } 122*e4a9863fSDag-Erling Smørgrav if (BN_num_bits(dhg->p) != dhg->size) { 123*e4a9863fSDag-Erling Smørgrav error("moduli:%d: prime has wrong size: actual %d listed %d", 124*e4a9863fSDag-Erling Smørgrav linenum, BN_num_bits(dhg->p), dhg->size - 1); 125*e4a9863fSDag-Erling Smørgrav goto fail; 126*e4a9863fSDag-Erling Smørgrav } 127*e4a9863fSDag-Erling Smørgrav if (BN_cmp(dhg->g, BN_value_one()) <= 0) { 128*e4a9863fSDag-Erling Smørgrav error("moduli:%d: generator is invalid", linenum); 129*e4a9863fSDag-Erling Smørgrav goto fail; 130*e4a9863fSDag-Erling Smørgrav } 1311e8db6e2SBrian Feldman 132*e4a9863fSDag-Erling Smørgrav return 1; 1331e8db6e2SBrian Feldman 1345b9b2fafSBrian Feldman fail: 135*e4a9863fSDag-Erling Smørgrav if (dhg->g != NULL) 136*e4a9863fSDag-Erling Smørgrav BN_clear_free(dhg->g); 137*e4a9863fSDag-Erling Smørgrav if (dhg->p != NULL) 138*e4a9863fSDag-Erling Smørgrav BN_clear_free(dhg->p); 139*e4a9863fSDag-Erling Smørgrav dhg->g = dhg->p = NULL; 1401e8db6e2SBrian Feldman error("Bad prime description in line %d", linenum); 141*e4a9863fSDag-Erling Smørgrav return 0; 1425b9b2fafSBrian Feldman } 1435b9b2fafSBrian Feldman 1445b9b2fafSBrian Feldman DH * 1451e8db6e2SBrian Feldman choose_dh(int min, int wantbits, int max) 1465b9b2fafSBrian Feldman { 1475b9b2fafSBrian Feldman FILE *f; 14852028650SDag-Erling Smørgrav char line[4096]; 1495b9b2fafSBrian Feldman int best, bestcount, which; 1505b9b2fafSBrian Feldman int linenum; 1515b9b2fafSBrian Feldman struct dhgroup dhg; 1525b9b2fafSBrian Feldman 153ae1f160dSDag-Erling Smørgrav if ((f = fopen(_PATH_DH_MODULI, "r")) == NULL && 154ae1f160dSDag-Erling Smørgrav (f = fopen(_PATH_DH_PRIMES, "r")) == NULL) { 155d74d50a8SDag-Erling Smørgrav logit("WARNING: %s does not exist, using fixed modulus", 156d74d50a8SDag-Erling Smørgrav _PATH_DH_MODULI); 157d74d50a8SDag-Erling Smørgrav return (dh_new_group14()); 1585b9b2fafSBrian Feldman } 1595b9b2fafSBrian Feldman 1605b9b2fafSBrian Feldman linenum = 0; 1615b9b2fafSBrian Feldman best = bestcount = 0; 1625b9b2fafSBrian Feldman while (fgets(line, sizeof(line), f)) { 1635b9b2fafSBrian Feldman linenum++; 1645b9b2fafSBrian Feldman if (!parse_prime(linenum, line, &dhg)) 1655b9b2fafSBrian Feldman continue; 166ae1f160dSDag-Erling Smørgrav BN_clear_free(dhg.g); 167ae1f160dSDag-Erling Smørgrav BN_clear_free(dhg.p); 1685b9b2fafSBrian Feldman 1691e8db6e2SBrian Feldman if (dhg.size > max || dhg.size < min) 1701e8db6e2SBrian Feldman continue; 1711e8db6e2SBrian Feldman 1721e8db6e2SBrian Feldman if ((dhg.size > wantbits && dhg.size < best) || 1731e8db6e2SBrian Feldman (dhg.size > best && best < wantbits)) { 1745b9b2fafSBrian Feldman best = dhg.size; 1755b9b2fafSBrian Feldman bestcount = 0; 1765b9b2fafSBrian Feldman } 1775b9b2fafSBrian Feldman if (dhg.size == best) 1785b9b2fafSBrian Feldman bestcount++; 1795b9b2fafSBrian Feldman } 180ae1f160dSDag-Erling Smørgrav rewind(f); 1815b9b2fafSBrian Feldman 1825b9b2fafSBrian Feldman if (bestcount == 0) { 183ae1f160dSDag-Erling Smørgrav fclose(f); 184d95e11bfSDag-Erling Smørgrav logit("WARNING: no suitable primes in %s", _PATH_DH_PRIMES); 185d74d50a8SDag-Erling Smørgrav return (dh_new_group14()); 1865b9b2fafSBrian Feldman } 1875b9b2fafSBrian Feldman 1885b9b2fafSBrian Feldman linenum = 0; 189d4af9e69SDag-Erling Smørgrav which = arc4random_uniform(bestcount); 1905b9b2fafSBrian Feldman while (fgets(line, sizeof(line), f)) { 1915b9b2fafSBrian Feldman if (!parse_prime(linenum, line, &dhg)) 1925b9b2fafSBrian Feldman continue; 1931e8db6e2SBrian Feldman if ((dhg.size > max || dhg.size < min) || 1941e8db6e2SBrian Feldman dhg.size != best || 1951e8db6e2SBrian Feldman linenum++ != which) { 196ae1f160dSDag-Erling Smørgrav BN_clear_free(dhg.g); 197ae1f160dSDag-Erling Smørgrav BN_clear_free(dhg.p); 1985b9b2fafSBrian Feldman continue; 1995b9b2fafSBrian Feldman } 2005b9b2fafSBrian Feldman break; 2015b9b2fafSBrian Feldman } 2025b9b2fafSBrian Feldman fclose(f); 2031e8db6e2SBrian Feldman if (linenum != which+1) 2041e8db6e2SBrian Feldman fatal("WARNING: line %d disappeared in %s, giving up", 2051e8db6e2SBrian Feldman which, _PATH_DH_PRIMES); 2065b9b2fafSBrian Feldman 2075b9b2fafSBrian Feldman return (dh_new_group(dhg.g, dhg.p)); 2085b9b2fafSBrian Feldman } 2091e8db6e2SBrian Feldman 210d74d50a8SDag-Erling Smørgrav /* diffie-hellman-groupN-sha1 */ 2111e8db6e2SBrian Feldman 2121e8db6e2SBrian Feldman int 2131e8db6e2SBrian Feldman dh_pub_is_valid(DH *dh, BIGNUM *dh_pub) 2141e8db6e2SBrian Feldman { 2151e8db6e2SBrian Feldman int i; 2161e8db6e2SBrian Feldman int n = BN_num_bits(dh_pub); 2171e8db6e2SBrian Feldman int bits_set = 0; 218761efaa7SDag-Erling Smørgrav BIGNUM *tmp; 2191e8db6e2SBrian Feldman 2201e8db6e2SBrian Feldman if (dh_pub->neg) { 221d4af9e69SDag-Erling Smørgrav logit("invalid public DH value: negative"); 2221e8db6e2SBrian Feldman return 0; 2231e8db6e2SBrian Feldman } 224761efaa7SDag-Erling Smørgrav if (BN_cmp(dh_pub, BN_value_one()) != 1) { /* pub_exp <= 1 */ 225761efaa7SDag-Erling Smørgrav logit("invalid public DH value: <= 1"); 226761efaa7SDag-Erling Smørgrav return 0; 227761efaa7SDag-Erling Smørgrav } 228761efaa7SDag-Erling Smørgrav 229d4af9e69SDag-Erling Smørgrav if ((tmp = BN_new()) == NULL) { 230d4af9e69SDag-Erling Smørgrav error("%s: BN_new failed", __func__); 231d4af9e69SDag-Erling Smørgrav return 0; 232d4af9e69SDag-Erling Smørgrav } 233761efaa7SDag-Erling Smørgrav if (!BN_sub(tmp, dh->p, BN_value_one()) || 234761efaa7SDag-Erling Smørgrav BN_cmp(dh_pub, tmp) != -1) { /* pub_exp > p-2 */ 235761efaa7SDag-Erling Smørgrav BN_clear_free(tmp); 236761efaa7SDag-Erling Smørgrav logit("invalid public DH value: >= p-1"); 237761efaa7SDag-Erling Smørgrav return 0; 238761efaa7SDag-Erling Smørgrav } 239761efaa7SDag-Erling Smørgrav BN_clear_free(tmp); 240761efaa7SDag-Erling Smørgrav 2411e8db6e2SBrian Feldman for (i = 0; i <= n; i++) 2421e8db6e2SBrian Feldman if (BN_is_bit_set(dh_pub, i)) 2431e8db6e2SBrian Feldman bits_set++; 244d0c8c0bcSDag-Erling Smørgrav debug2("bits set: %d/%d", bits_set, BN_num_bits(dh->p)); 2451e8db6e2SBrian Feldman 2461e8db6e2SBrian Feldman /* if g==2 and bits_set==1 then computing log_g(dh_pub) is trivial */ 247761efaa7SDag-Erling Smørgrav if (bits_set > 1) 2481e8db6e2SBrian Feldman return 1; 249761efaa7SDag-Erling Smørgrav 250d95e11bfSDag-Erling Smørgrav logit("invalid public DH value (%d/%d)", bits_set, BN_num_bits(dh->p)); 2511e8db6e2SBrian Feldman return 0; 2521e8db6e2SBrian Feldman } 2531e8db6e2SBrian Feldman 2541e8db6e2SBrian Feldman void 2551e8db6e2SBrian Feldman dh_gen_key(DH *dh, int need) 2561e8db6e2SBrian Feldman { 25752028650SDag-Erling Smørgrav int i, bits_set, tries = 0; 2581e8db6e2SBrian Feldman 259462c32cbSDag-Erling Smørgrav if (need < 0) 260462c32cbSDag-Erling Smørgrav fatal("dh_gen_key: need < 0"); 2611e8db6e2SBrian Feldman if (dh->p == NULL) 2621e8db6e2SBrian Feldman fatal("dh_gen_key: dh->p == NULL"); 263efcad6b7SDag-Erling Smørgrav if (need > INT_MAX / 2 || 2 * need >= BN_num_bits(dh->p)) 2641e8db6e2SBrian Feldman fatal("dh_gen_key: group too small: %d (2*need %d)", 2651e8db6e2SBrian Feldman BN_num_bits(dh->p), 2*need); 2661e8db6e2SBrian Feldman do { 2671e8db6e2SBrian Feldman if (dh->priv_key != NULL) 268ae1f160dSDag-Erling Smørgrav BN_clear_free(dh->priv_key); 269ae1f160dSDag-Erling Smørgrav if ((dh->priv_key = BN_new()) == NULL) 2701e8db6e2SBrian Feldman fatal("dh_gen_key: BN_new failed"); 2711e8db6e2SBrian Feldman /* generate a 2*need bits random private exponent */ 2721e8db6e2SBrian Feldman if (!BN_rand(dh->priv_key, 2*need, 0, 0)) 2731e8db6e2SBrian Feldman fatal("dh_gen_key: BN_rand failed"); 2741e8db6e2SBrian Feldman if (DH_generate_key(dh) == 0) 2751e8db6e2SBrian Feldman fatal("DH_generate_key"); 27652028650SDag-Erling Smørgrav for (i = 0, bits_set = 0; i <= BN_num_bits(dh->priv_key); i++) 2771e8db6e2SBrian Feldman if (BN_is_bit_set(dh->priv_key, i)) 2781e8db6e2SBrian Feldman bits_set++; 279d0c8c0bcSDag-Erling Smørgrav debug2("dh_gen_key: priv key bits set: %d/%d", 2801e8db6e2SBrian Feldman bits_set, BN_num_bits(dh->priv_key)); 2811e8db6e2SBrian Feldman if (tries++ > 10) 2821e8db6e2SBrian Feldman fatal("dh_gen_key: too many bad keys: giving up"); 2831e8db6e2SBrian Feldman } while (!dh_pub_is_valid(dh, dh->pub_key)); 2841e8db6e2SBrian Feldman } 2851e8db6e2SBrian Feldman 2861e8db6e2SBrian Feldman DH * 2871e8db6e2SBrian Feldman dh_new_group_asc(const char *gen, const char *modulus) 2881e8db6e2SBrian Feldman { 2891e8db6e2SBrian Feldman DH *dh; 2901e8db6e2SBrian Feldman 291ae1f160dSDag-Erling Smørgrav if ((dh = DH_new()) == NULL) 292ae1f160dSDag-Erling Smørgrav fatal("dh_new_group_asc: DH_new"); 2931e8db6e2SBrian Feldman 2941e8db6e2SBrian Feldman if (BN_hex2bn(&dh->p, modulus) == 0) 2951e8db6e2SBrian Feldman fatal("BN_hex2bn p"); 2961e8db6e2SBrian Feldman if (BN_hex2bn(&dh->g, gen) == 0) 2971e8db6e2SBrian Feldman fatal("BN_hex2bn g"); 2981e8db6e2SBrian Feldman 2991e8db6e2SBrian Feldman return (dh); 3001e8db6e2SBrian Feldman } 3011e8db6e2SBrian Feldman 3021e8db6e2SBrian Feldman /* 3031e8db6e2SBrian Feldman * This just returns the group, we still need to generate the exchange 3041e8db6e2SBrian Feldman * value. 3051e8db6e2SBrian Feldman */ 3061e8db6e2SBrian Feldman 3071e8db6e2SBrian Feldman DH * 3081e8db6e2SBrian Feldman dh_new_group(BIGNUM *gen, BIGNUM *modulus) 3091e8db6e2SBrian Feldman { 3101e8db6e2SBrian Feldman DH *dh; 3111e8db6e2SBrian Feldman 312ae1f160dSDag-Erling Smørgrav if ((dh = DH_new()) == NULL) 313ae1f160dSDag-Erling Smørgrav fatal("dh_new_group: DH_new"); 3141e8db6e2SBrian Feldman dh->p = modulus; 3151e8db6e2SBrian Feldman dh->g = gen; 3161e8db6e2SBrian Feldman 3171e8db6e2SBrian Feldman return (dh); 3181e8db6e2SBrian Feldman } 3191e8db6e2SBrian Feldman 3201e8db6e2SBrian Feldman DH * 3211e8db6e2SBrian Feldman dh_new_group1(void) 3221e8db6e2SBrian Feldman { 3231e8db6e2SBrian Feldman static char *gen = "2", *group1 = 3241e8db6e2SBrian Feldman "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1" 3251e8db6e2SBrian Feldman "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD" 3261e8db6e2SBrian Feldman "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245" 3271e8db6e2SBrian Feldman "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED" 3281e8db6e2SBrian Feldman "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE65381" 3291e8db6e2SBrian Feldman "FFFFFFFF" "FFFFFFFF"; 3301e8db6e2SBrian Feldman 3311e8db6e2SBrian Feldman return (dh_new_group_asc(gen, group1)); 3321e8db6e2SBrian Feldman } 3331e8db6e2SBrian Feldman 334d74d50a8SDag-Erling Smørgrav DH * 335d74d50a8SDag-Erling Smørgrav dh_new_group14(void) 336d74d50a8SDag-Erling Smørgrav { 337d74d50a8SDag-Erling Smørgrav static char *gen = "2", *group14 = 338d74d50a8SDag-Erling Smørgrav "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1" 339d74d50a8SDag-Erling Smørgrav "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD" 340d74d50a8SDag-Erling Smørgrav "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245" 341d74d50a8SDag-Erling Smørgrav "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED" 342d74d50a8SDag-Erling Smørgrav "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D" 343d74d50a8SDag-Erling Smørgrav "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F" 344d74d50a8SDag-Erling Smørgrav "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D" 345d74d50a8SDag-Erling Smørgrav "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B" 346d74d50a8SDag-Erling Smørgrav "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9" 347d74d50a8SDag-Erling Smørgrav "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510" 348d74d50a8SDag-Erling Smørgrav "15728E5A" "8AACAA68" "FFFFFFFF" "FFFFFFFF"; 349d74d50a8SDag-Erling Smørgrav 350d74d50a8SDag-Erling Smørgrav return (dh_new_group_asc(gen, group14)); 351d74d50a8SDag-Erling Smørgrav } 352d74d50a8SDag-Erling Smørgrav 3531e8db6e2SBrian Feldman /* 3541e8db6e2SBrian Feldman * Estimates the group order for a Diffie-Hellman group that has an 3551e8db6e2SBrian Feldman * attack complexity approximately the same as O(2**bits). Estimate 3561e8db6e2SBrian Feldman * with: O(exp(1.9223 * (ln q)^(1/3) (ln ln q)^(2/3))) 3571e8db6e2SBrian Feldman */ 3581e8db6e2SBrian Feldman 3591e8db6e2SBrian Feldman int 3601e8db6e2SBrian Feldman dh_estimate(int bits) 3611e8db6e2SBrian Feldman { 3621e8db6e2SBrian Feldman 363efcad6b7SDag-Erling Smørgrav if (bits <= 128) 3641e8db6e2SBrian Feldman return (1024); /* O(2**86) */ 365efcad6b7SDag-Erling Smørgrav if (bits <= 192) 3661e8db6e2SBrian Feldman return (2048); /* O(2**116) */ 3671e8db6e2SBrian Feldman return (4096); /* O(2**156) */ 3681e8db6e2SBrian Feldman } 369