xref: /freebsd/crypto/openssh/dh.c (revision 761efaa70c2ed8d35722b7bc234a46bf2457f876)
1761efaa7SDag-Erling Smørgrav /* $OpenBSD: dh.c,v 1.42 2006/08/03 03:34:42 deraadt 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;
495b9b2fafSBrian Feldman 
505b9b2fafSBrian Feldman 	cp = line;
51761efaa7SDag-Erling Smørgrav 	if ((arg = strdelim(&cp)) == NULL)
52761efaa7SDag-Erling Smørgrav 		return 0;
535b9b2fafSBrian Feldman 	/* Ignore leading whitespace */
545b9b2fafSBrian Feldman 	if (*arg == '\0')
555b9b2fafSBrian Feldman 		arg = strdelim(&cp);
564b17dab0SDag-Erling Smørgrav 	if (!arg || !*arg || *arg == '#')
575b9b2fafSBrian Feldman 		return 0;
585b9b2fafSBrian Feldman 
595b9b2fafSBrian Feldman 	/* time */
605b9b2fafSBrian Feldman 	if (cp == NULL || *arg == '\0')
615b9b2fafSBrian Feldman 		goto fail;
625b9b2fafSBrian Feldman 	arg = strsep(&cp, " "); /* type */
635b9b2fafSBrian Feldman 	if (cp == NULL || *arg == '\0')
645b9b2fafSBrian Feldman 		goto fail;
655b9b2fafSBrian Feldman 	arg = strsep(&cp, " "); /* tests */
665b9b2fafSBrian Feldman 	if (cp == NULL || *arg == '\0')
675b9b2fafSBrian Feldman 		goto fail;
685b9b2fafSBrian Feldman 	arg = strsep(&cp, " "); /* tries */
695b9b2fafSBrian Feldman 	if (cp == NULL || *arg == '\0')
705b9b2fafSBrian Feldman 		goto fail;
715b9b2fafSBrian Feldman 	strsize = strsep(&cp, " "); /* size */
725b9b2fafSBrian Feldman 	if (cp == NULL || *strsize == '\0' ||
73761efaa7SDag-Erling Smørgrav 	    (dhg->size = (u_int)strtonum(strsize, 0, 64*1024, &errstr)) == 0 ||
74761efaa7SDag-Erling Smørgrav 	    errstr)
755b9b2fafSBrian Feldman 		goto fail;
761e8db6e2SBrian Feldman 	/* The whole group is one bit larger */
771e8db6e2SBrian Feldman 	dhg->size++;
785b9b2fafSBrian Feldman 	gen = strsep(&cp, " "); /* gen */
795b9b2fafSBrian Feldman 	if (cp == NULL || *gen == '\0')
805b9b2fafSBrian Feldman 		goto fail;
815b9b2fafSBrian Feldman 	prime = strsep(&cp, " "); /* prime */
825b9b2fafSBrian Feldman 	if (cp != NULL || *prime == '\0')
835b9b2fafSBrian Feldman 		goto fail;
845b9b2fafSBrian Feldman 
85ae1f160dSDag-Erling Smørgrav 	if ((dhg->g = BN_new()) == NULL)
86ae1f160dSDag-Erling Smørgrav 		fatal("parse_prime: BN_new failed");
87ae1f160dSDag-Erling Smørgrav 	if ((dhg->p = BN_new()) == NULL)
88ae1f160dSDag-Erling Smørgrav 		fatal("parse_prime: BN_new failed");
891e8db6e2SBrian Feldman 	if (BN_hex2bn(&dhg->g, gen) == 0)
901e8db6e2SBrian Feldman 		goto failclean;
911e8db6e2SBrian Feldman 
921e8db6e2SBrian Feldman 	if (BN_hex2bn(&dhg->p, prime) == 0)
931e8db6e2SBrian Feldman 		goto failclean;
941e8db6e2SBrian Feldman 
951e8db6e2SBrian Feldman 	if (BN_num_bits(dhg->p) != dhg->size)
961e8db6e2SBrian Feldman 		goto failclean;
975b9b2fafSBrian Feldman 
9852028650SDag-Erling Smørgrav 	if (BN_is_zero(dhg->g) || BN_is_one(dhg->g))
9952028650SDag-Erling Smørgrav 		goto failclean;
10052028650SDag-Erling Smørgrav 
1015b9b2fafSBrian Feldman 	return (1);
1021e8db6e2SBrian Feldman 
1031e8db6e2SBrian Feldman  failclean:
104ae1f160dSDag-Erling Smørgrav 	BN_clear_free(dhg->g);
105ae1f160dSDag-Erling Smørgrav 	BN_clear_free(dhg->p);
1065b9b2fafSBrian Feldman  fail:
1071e8db6e2SBrian Feldman 	error("Bad prime description in line %d", linenum);
1085b9b2fafSBrian Feldman 	return (0);
1095b9b2fafSBrian Feldman }
1105b9b2fafSBrian Feldman 
1115b9b2fafSBrian Feldman DH *
1121e8db6e2SBrian Feldman choose_dh(int min, int wantbits, int max)
1135b9b2fafSBrian Feldman {
1145b9b2fafSBrian Feldman 	FILE *f;
11552028650SDag-Erling Smørgrav 	char line[4096];
1165b9b2fafSBrian Feldman 	int best, bestcount, which;
1175b9b2fafSBrian Feldman 	int linenum;
1185b9b2fafSBrian Feldman 	struct dhgroup dhg;
1195b9b2fafSBrian Feldman 
120ae1f160dSDag-Erling Smørgrav 	if ((f = fopen(_PATH_DH_MODULI, "r")) == NULL &&
121ae1f160dSDag-Erling Smørgrav 	    (f = fopen(_PATH_DH_PRIMES, "r")) == NULL) {
122d74d50a8SDag-Erling Smørgrav 		logit("WARNING: %s does not exist, using fixed modulus",
123d74d50a8SDag-Erling Smørgrav 		    _PATH_DH_MODULI);
124d74d50a8SDag-Erling Smørgrav 		return (dh_new_group14());
1255b9b2fafSBrian Feldman 	}
1265b9b2fafSBrian Feldman 
1275b9b2fafSBrian Feldman 	linenum = 0;
1285b9b2fafSBrian Feldman 	best = bestcount = 0;
1295b9b2fafSBrian Feldman 	while (fgets(line, sizeof(line), f)) {
1305b9b2fafSBrian Feldman 		linenum++;
1315b9b2fafSBrian Feldman 		if (!parse_prime(linenum, line, &dhg))
1325b9b2fafSBrian Feldman 			continue;
133ae1f160dSDag-Erling Smørgrav 		BN_clear_free(dhg.g);
134ae1f160dSDag-Erling Smørgrav 		BN_clear_free(dhg.p);
1355b9b2fafSBrian Feldman 
1361e8db6e2SBrian Feldman 		if (dhg.size > max || dhg.size < min)
1371e8db6e2SBrian Feldman 			continue;
1381e8db6e2SBrian Feldman 
1391e8db6e2SBrian Feldman 		if ((dhg.size > wantbits && dhg.size < best) ||
1401e8db6e2SBrian Feldman 		    (dhg.size > best && best < wantbits)) {
1415b9b2fafSBrian Feldman 			best = dhg.size;
1425b9b2fafSBrian Feldman 			bestcount = 0;
1435b9b2fafSBrian Feldman 		}
1445b9b2fafSBrian Feldman 		if (dhg.size == best)
1455b9b2fafSBrian Feldman 			bestcount++;
1465b9b2fafSBrian Feldman 	}
147ae1f160dSDag-Erling Smørgrav 	rewind(f);
1485b9b2fafSBrian Feldman 
1495b9b2fafSBrian Feldman 	if (bestcount == 0) {
150ae1f160dSDag-Erling Smørgrav 		fclose(f);
151d95e11bfSDag-Erling Smørgrav 		logit("WARNING: no suitable primes in %s", _PATH_DH_PRIMES);
152d74d50a8SDag-Erling Smørgrav 		return (dh_new_group14());
1535b9b2fafSBrian Feldman 	}
1545b9b2fafSBrian Feldman 
1555b9b2fafSBrian Feldman 	linenum = 0;
1565b9b2fafSBrian Feldman 	which = arc4random() % bestcount;
1575b9b2fafSBrian Feldman 	while (fgets(line, sizeof(line), f)) {
1585b9b2fafSBrian Feldman 		if (!parse_prime(linenum, line, &dhg))
1595b9b2fafSBrian Feldman 			continue;
1601e8db6e2SBrian Feldman 		if ((dhg.size > max || dhg.size < min) ||
1611e8db6e2SBrian Feldman 		    dhg.size != best ||
1621e8db6e2SBrian Feldman 		    linenum++ != which) {
163ae1f160dSDag-Erling Smørgrav 			BN_clear_free(dhg.g);
164ae1f160dSDag-Erling Smørgrav 			BN_clear_free(dhg.p);
1655b9b2fafSBrian Feldman 			continue;
1665b9b2fafSBrian Feldman 		}
1675b9b2fafSBrian Feldman 		break;
1685b9b2fafSBrian Feldman 	}
1695b9b2fafSBrian Feldman 	fclose(f);
1701e8db6e2SBrian Feldman 	if (linenum != which+1)
1711e8db6e2SBrian Feldman 		fatal("WARNING: line %d disappeared in %s, giving up",
1721e8db6e2SBrian Feldman 		    which, _PATH_DH_PRIMES);
1735b9b2fafSBrian Feldman 
1745b9b2fafSBrian Feldman 	return (dh_new_group(dhg.g, dhg.p));
1755b9b2fafSBrian Feldman }
1761e8db6e2SBrian Feldman 
177d74d50a8SDag-Erling Smørgrav /* diffie-hellman-groupN-sha1 */
1781e8db6e2SBrian Feldman 
1791e8db6e2SBrian Feldman int
1801e8db6e2SBrian Feldman dh_pub_is_valid(DH *dh, BIGNUM *dh_pub)
1811e8db6e2SBrian Feldman {
1821e8db6e2SBrian Feldman 	int i;
1831e8db6e2SBrian Feldman 	int n = BN_num_bits(dh_pub);
1841e8db6e2SBrian Feldman 	int bits_set = 0;
185761efaa7SDag-Erling Smørgrav 	BIGNUM *tmp;
1861e8db6e2SBrian Feldman 
1871e8db6e2SBrian Feldman 	if (dh_pub->neg) {
188d95e11bfSDag-Erling Smørgrav 		logit("invalid public DH value: negativ");
1891e8db6e2SBrian Feldman 		return 0;
1901e8db6e2SBrian Feldman 	}
191761efaa7SDag-Erling Smørgrav 	if (BN_cmp(dh_pub, BN_value_one()) != 1) {	/* pub_exp <= 1 */
192761efaa7SDag-Erling Smørgrav 		logit("invalid public DH value: <= 1");
193761efaa7SDag-Erling Smørgrav 		return 0;
194761efaa7SDag-Erling Smørgrav 	}
195761efaa7SDag-Erling Smørgrav 
196761efaa7SDag-Erling Smørgrav 	if ((tmp = BN_new()) == NULL)
197761efaa7SDag-Erling Smørgrav 		return (-1);
198761efaa7SDag-Erling Smørgrav 	if (!BN_sub(tmp, dh->p, BN_value_one()) ||
199761efaa7SDag-Erling Smørgrav 	    BN_cmp(dh_pub, tmp) != -1) {		/* pub_exp > p-2 */
200761efaa7SDag-Erling Smørgrav 		BN_clear_free(tmp);
201761efaa7SDag-Erling Smørgrav 		logit("invalid public DH value: >= p-1");
202761efaa7SDag-Erling Smørgrav 		return 0;
203761efaa7SDag-Erling Smørgrav 	}
204761efaa7SDag-Erling Smørgrav 	BN_clear_free(tmp);
205761efaa7SDag-Erling Smørgrav 
2061e8db6e2SBrian Feldman 	for (i = 0; i <= n; i++)
2071e8db6e2SBrian Feldman 		if (BN_is_bit_set(dh_pub, i))
2081e8db6e2SBrian Feldman 			bits_set++;
209d0c8c0bcSDag-Erling Smørgrav 	debug2("bits set: %d/%d", bits_set, BN_num_bits(dh->p));
2101e8db6e2SBrian Feldman 
2111e8db6e2SBrian Feldman 	/* if g==2 and bits_set==1 then computing log_g(dh_pub) is trivial */
212761efaa7SDag-Erling Smørgrav 	if (bits_set > 1)
2131e8db6e2SBrian Feldman 		return 1;
214761efaa7SDag-Erling Smørgrav 
215d95e11bfSDag-Erling Smørgrav 	logit("invalid public DH value (%d/%d)", bits_set, BN_num_bits(dh->p));
2161e8db6e2SBrian Feldman 	return 0;
2171e8db6e2SBrian Feldman }
2181e8db6e2SBrian Feldman 
2191e8db6e2SBrian Feldman void
2201e8db6e2SBrian Feldman dh_gen_key(DH *dh, int need)
2211e8db6e2SBrian Feldman {
22252028650SDag-Erling Smørgrav 	int i, bits_set, tries = 0;
2231e8db6e2SBrian Feldman 
2241e8db6e2SBrian Feldman 	if (dh->p == NULL)
2251e8db6e2SBrian Feldman 		fatal("dh_gen_key: dh->p == NULL");
226efcad6b7SDag-Erling Smørgrav 	if (need > INT_MAX / 2 || 2 * need >= BN_num_bits(dh->p))
2271e8db6e2SBrian Feldman 		fatal("dh_gen_key: group too small: %d (2*need %d)",
2281e8db6e2SBrian Feldman 		    BN_num_bits(dh->p), 2*need);
2291e8db6e2SBrian Feldman 	do {
2301e8db6e2SBrian Feldman 		if (dh->priv_key != NULL)
231ae1f160dSDag-Erling Smørgrav 			BN_clear_free(dh->priv_key);
232ae1f160dSDag-Erling Smørgrav 		if ((dh->priv_key = BN_new()) == NULL)
2331e8db6e2SBrian Feldman 			fatal("dh_gen_key: BN_new failed");
2341e8db6e2SBrian Feldman 		/* generate a 2*need bits random private exponent */
2351e8db6e2SBrian Feldman 		if (!BN_rand(dh->priv_key, 2*need, 0, 0))
2361e8db6e2SBrian Feldman 			fatal("dh_gen_key: BN_rand failed");
2371e8db6e2SBrian Feldman 		if (DH_generate_key(dh) == 0)
2381e8db6e2SBrian Feldman 			fatal("DH_generate_key");
23952028650SDag-Erling Smørgrav 		for (i = 0, bits_set = 0; i <= BN_num_bits(dh->priv_key); i++)
2401e8db6e2SBrian Feldman 			if (BN_is_bit_set(dh->priv_key, i))
2411e8db6e2SBrian Feldman 				bits_set++;
242d0c8c0bcSDag-Erling Smørgrav 		debug2("dh_gen_key: priv key bits set: %d/%d",
2431e8db6e2SBrian Feldman 		    bits_set, BN_num_bits(dh->priv_key));
2441e8db6e2SBrian Feldman 		if (tries++ > 10)
2451e8db6e2SBrian Feldman 			fatal("dh_gen_key: too many bad keys: giving up");
2461e8db6e2SBrian Feldman 	} while (!dh_pub_is_valid(dh, dh->pub_key));
2471e8db6e2SBrian Feldman }
2481e8db6e2SBrian Feldman 
2491e8db6e2SBrian Feldman DH *
2501e8db6e2SBrian Feldman dh_new_group_asc(const char *gen, const char *modulus)
2511e8db6e2SBrian Feldman {
2521e8db6e2SBrian Feldman 	DH *dh;
2531e8db6e2SBrian Feldman 
254ae1f160dSDag-Erling Smørgrav 	if ((dh = DH_new()) == NULL)
255ae1f160dSDag-Erling Smørgrav 		fatal("dh_new_group_asc: DH_new");
2561e8db6e2SBrian Feldman 
2571e8db6e2SBrian Feldman 	if (BN_hex2bn(&dh->p, modulus) == 0)
2581e8db6e2SBrian Feldman 		fatal("BN_hex2bn p");
2591e8db6e2SBrian Feldman 	if (BN_hex2bn(&dh->g, gen) == 0)
2601e8db6e2SBrian Feldman 		fatal("BN_hex2bn g");
2611e8db6e2SBrian Feldman 
2621e8db6e2SBrian Feldman 	return (dh);
2631e8db6e2SBrian Feldman }
2641e8db6e2SBrian Feldman 
2651e8db6e2SBrian Feldman /*
2661e8db6e2SBrian Feldman  * This just returns the group, we still need to generate the exchange
2671e8db6e2SBrian Feldman  * value.
2681e8db6e2SBrian Feldman  */
2691e8db6e2SBrian Feldman 
2701e8db6e2SBrian Feldman DH *
2711e8db6e2SBrian Feldman dh_new_group(BIGNUM *gen, BIGNUM *modulus)
2721e8db6e2SBrian Feldman {
2731e8db6e2SBrian Feldman 	DH *dh;
2741e8db6e2SBrian Feldman 
275ae1f160dSDag-Erling Smørgrav 	if ((dh = DH_new()) == NULL)
276ae1f160dSDag-Erling Smørgrav 		fatal("dh_new_group: DH_new");
2771e8db6e2SBrian Feldman 	dh->p = modulus;
2781e8db6e2SBrian Feldman 	dh->g = gen;
2791e8db6e2SBrian Feldman 
2801e8db6e2SBrian Feldman 	return (dh);
2811e8db6e2SBrian Feldman }
2821e8db6e2SBrian Feldman 
2831e8db6e2SBrian Feldman DH *
2841e8db6e2SBrian Feldman dh_new_group1(void)
2851e8db6e2SBrian Feldman {
2861e8db6e2SBrian Feldman 	static char *gen = "2", *group1 =
2871e8db6e2SBrian Feldman 	    "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
2881e8db6e2SBrian Feldman 	    "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
2891e8db6e2SBrian Feldman 	    "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
2901e8db6e2SBrian Feldman 	    "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
2911e8db6e2SBrian Feldman 	    "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE65381"
2921e8db6e2SBrian Feldman 	    "FFFFFFFF" "FFFFFFFF";
2931e8db6e2SBrian Feldman 
2941e8db6e2SBrian Feldman 	return (dh_new_group_asc(gen, group1));
2951e8db6e2SBrian Feldman }
2961e8db6e2SBrian Feldman 
297d74d50a8SDag-Erling Smørgrav DH *
298d74d50a8SDag-Erling Smørgrav dh_new_group14(void)
299d74d50a8SDag-Erling Smørgrav {
300d74d50a8SDag-Erling Smørgrav 	static char *gen = "2", *group14 =
301d74d50a8SDag-Erling Smørgrav 	    "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
302d74d50a8SDag-Erling Smørgrav 	    "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
303d74d50a8SDag-Erling Smørgrav 	    "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
304d74d50a8SDag-Erling Smørgrav 	    "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
305d74d50a8SDag-Erling Smørgrav 	    "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
306d74d50a8SDag-Erling Smørgrav 	    "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
307d74d50a8SDag-Erling Smørgrav 	    "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
308d74d50a8SDag-Erling Smørgrav 	    "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
309d74d50a8SDag-Erling Smørgrav 	    "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
310d74d50a8SDag-Erling Smørgrav 	    "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
311d74d50a8SDag-Erling Smørgrav 	    "15728E5A" "8AACAA68" "FFFFFFFF" "FFFFFFFF";
312d74d50a8SDag-Erling Smørgrav 
313d74d50a8SDag-Erling Smørgrav 	return (dh_new_group_asc(gen, group14));
314d74d50a8SDag-Erling Smørgrav }
315d74d50a8SDag-Erling Smørgrav 
3161e8db6e2SBrian Feldman /*
3171e8db6e2SBrian Feldman  * Estimates the group order for a Diffie-Hellman group that has an
3181e8db6e2SBrian Feldman  * attack complexity approximately the same as O(2**bits).  Estimate
3191e8db6e2SBrian Feldman  * with:  O(exp(1.9223 * (ln q)^(1/3) (ln ln q)^(2/3)))
3201e8db6e2SBrian Feldman  */
3211e8db6e2SBrian Feldman 
3221e8db6e2SBrian Feldman int
3231e8db6e2SBrian Feldman dh_estimate(int bits)
3241e8db6e2SBrian Feldman {
3251e8db6e2SBrian Feldman 
326efcad6b7SDag-Erling Smørgrav 	if (bits <= 128)
3271e8db6e2SBrian Feldman 		return (1024);	/* O(2**86) */
328efcad6b7SDag-Erling Smørgrav 	if (bits <= 192)
3291e8db6e2SBrian Feldman 		return (2048);	/* O(2**116) */
3301e8db6e2SBrian Feldman 	return (4096);		/* O(2**156) */
3311e8db6e2SBrian Feldman }
332