xref: /freebsd/crypto/openssh/dh.c (revision a466cc55373fc3cf86837f09da729535b57e69a1)
1 /* $OpenBSD: dh.c,v 1.74 2021/04/03 06:18:40 djm Exp $ */
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  */
25 
26 #include "includes.h"
27 
28 #ifdef WITH_OPENSSL
29 
30 #include <errno.h>
31 #include <stdarg.h>
32 #include <stdio.h>
33 #include <stdlib.h>
34 #include <string.h>
35 #include <limits.h>
36 
37 #include <openssl/bn.h>
38 #include <openssl/dh.h>
39 
40 #include "dh.h"
41 #include "pathnames.h"
42 #include "log.h"
43 #include "misc.h"
44 #include "ssherr.h"
45 
46 #include "openbsd-compat/openssl-compat.h"
47 
48 static const char *moduli_filename;
49 
50 void dh_set_moduli_file(const char *filename)
51 {
52 	moduli_filename = filename;
53 }
54 
55 static const char * get_moduli_filename(void)
56 {
57 	return moduli_filename ? moduli_filename : _PATH_DH_MODULI;
58 }
59 
60 static int
61 parse_prime(int linenum, char *line, struct dhgroup *dhg)
62 {
63 	char *cp, *arg;
64 	char *strsize, *gen, *prime;
65 	const char *errstr = NULL;
66 	long long n;
67 
68 	dhg->p = dhg->g = NULL;
69 	cp = line;
70 	if ((arg = strdelim(&cp)) == NULL)
71 		return 0;
72 	/* Ignore leading whitespace */
73 	if (*arg == '\0')
74 		arg = strdelim(&cp);
75 	if (!arg || !*arg || *arg == '#')
76 		return 0;
77 
78 	/* time */
79 	if (cp == NULL || *arg == '\0')
80 		goto truncated;
81 	arg = strsep(&cp, " "); /* type */
82 	if (cp == NULL || *arg == '\0')
83 		goto truncated;
84 	/* Ensure this is a safe prime */
85 	n = strtonum(arg, 0, 5, &errstr);
86 	if (errstr != NULL || n != MODULI_TYPE_SAFE) {
87 		error("moduli:%d: type is not %d", linenum, MODULI_TYPE_SAFE);
88 		goto fail;
89 	}
90 	arg = strsep(&cp, " "); /* tests */
91 	if (cp == NULL || *arg == '\0')
92 		goto truncated;
93 	/* Ensure prime has been tested and is not composite */
94 	n = strtonum(arg, 0, 0x1f, &errstr);
95 	if (errstr != NULL ||
96 	    (n & MODULI_TESTS_COMPOSITE) || !(n & ~MODULI_TESTS_COMPOSITE)) {
97 		error("moduli:%d: invalid moduli tests flag", linenum);
98 		goto fail;
99 	}
100 	arg = strsep(&cp, " "); /* tries */
101 	if (cp == NULL || *arg == '\0')
102 		goto truncated;
103 	n = strtonum(arg, 0, 1<<30, &errstr);
104 	if (errstr != NULL || n == 0) {
105 		error("moduli:%d: invalid primality trial count", linenum);
106 		goto fail;
107 	}
108 	strsize = strsep(&cp, " "); /* size */
109 	if (cp == NULL || *strsize == '\0' ||
110 	    (dhg->size = (int)strtonum(strsize, 0, 64*1024, &errstr)) == 0 ||
111 	    errstr) {
112 		error("moduli:%d: invalid prime length", linenum);
113 		goto fail;
114 	}
115 	/* The whole group is one bit larger */
116 	dhg->size++;
117 	gen = strsep(&cp, " "); /* gen */
118 	if (cp == NULL || *gen == '\0')
119 		goto truncated;
120 	prime = strsep(&cp, " "); /* prime */
121 	if (cp != NULL || *prime == '\0') {
122  truncated:
123 		error("moduli:%d: truncated", linenum);
124 		goto fail;
125 	}
126 
127 	if ((dhg->g = BN_new()) == NULL ||
128 	    (dhg->p = BN_new()) == NULL) {
129 		error("parse_prime: BN_new failed");
130 		goto fail;
131 	}
132 	if (BN_hex2bn(&dhg->g, gen) == 0) {
133 		error("moduli:%d: could not parse generator value", linenum);
134 		goto fail;
135 	}
136 	if (BN_hex2bn(&dhg->p, prime) == 0) {
137 		error("moduli:%d: could not parse prime value", linenum);
138 		goto fail;
139 	}
140 	if (BN_num_bits(dhg->p) != dhg->size) {
141 		error("moduli:%d: prime has wrong size: actual %d listed %d",
142 		    linenum, BN_num_bits(dhg->p), dhg->size - 1);
143 		goto fail;
144 	}
145 	if (BN_cmp(dhg->g, BN_value_one()) <= 0) {
146 		error("moduli:%d: generator is invalid", linenum);
147 		goto fail;
148 	}
149 	return 1;
150 
151  fail:
152 	BN_clear_free(dhg->g);
153 	BN_clear_free(dhg->p);
154 	dhg->g = dhg->p = NULL;
155 	return 0;
156 }
157 
158 DH *
159 choose_dh(int min, int wantbits, int max)
160 {
161 	FILE *f;
162 	char *line = NULL;
163 	size_t linesize = 0;
164 	int best, bestcount, which, linenum;
165 	struct dhgroup dhg;
166 
167 	if ((f = fopen(get_moduli_filename(), "r")) == NULL) {
168 		logit("WARNING: could not open %s (%s), using fixed modulus",
169 		    get_moduli_filename(), strerror(errno));
170 		return (dh_new_group_fallback(max));
171 	}
172 
173 	linenum = 0;
174 	best = bestcount = 0;
175 	while (getline(&line, &linesize, f) != -1) {
176 		linenum++;
177 		if (!parse_prime(linenum, line, &dhg))
178 			continue;
179 		BN_clear_free(dhg.g);
180 		BN_clear_free(dhg.p);
181 
182 		if (dhg.size > max || dhg.size < min)
183 			continue;
184 
185 		if ((dhg.size > wantbits && dhg.size < best) ||
186 		    (dhg.size > best && best < wantbits)) {
187 			best = dhg.size;
188 			bestcount = 0;
189 		}
190 		if (dhg.size == best)
191 			bestcount++;
192 	}
193 	free(line);
194 	line = NULL;
195 	linesize = 0;
196 	rewind(f);
197 
198 	if (bestcount == 0) {
199 		fclose(f);
200 		logit("WARNING: no suitable primes in %s",
201 		    get_moduli_filename());
202 		return (dh_new_group_fallback(max));
203 	}
204 	which = arc4random_uniform(bestcount);
205 
206 	linenum = 0;
207 	bestcount = 0;
208 	while (getline(&line, &linesize, f) != -1) {
209 		linenum++;
210 		if (!parse_prime(linenum, line, &dhg))
211 			continue;
212 		if ((dhg.size > max || dhg.size < min) ||
213 		    dhg.size != best ||
214 		    bestcount++ != which) {
215 			BN_clear_free(dhg.g);
216 			BN_clear_free(dhg.p);
217 			continue;
218 		}
219 		break;
220 	}
221 	free(line);
222 	line = NULL;
223 	fclose(f);
224 	if (bestcount != which + 1) {
225 		logit("WARNING: selected prime disappeared in %s, giving up",
226 		    get_moduli_filename());
227 		return (dh_new_group_fallback(max));
228 	}
229 
230 	return (dh_new_group(dhg.g, dhg.p));
231 }
232 
233 /* diffie-hellman-groupN-sha1 */
234 
235 int
236 dh_pub_is_valid(const DH *dh, const BIGNUM *dh_pub)
237 {
238 	int i;
239 	int n = BN_num_bits(dh_pub);
240 	int bits_set = 0;
241 	BIGNUM *tmp;
242 	const BIGNUM *dh_p;
243 
244 	DH_get0_pqg(dh, &dh_p, NULL, NULL);
245 
246 	if (BN_is_negative(dh_pub)) {
247 		logit("invalid public DH value: negative");
248 		return 0;
249 	}
250 	if (BN_cmp(dh_pub, BN_value_one()) != 1) {	/* pub_exp <= 1 */
251 		logit("invalid public DH value: <= 1");
252 		return 0;
253 	}
254 
255 	if ((tmp = BN_new()) == NULL) {
256 		error_f("BN_new failed");
257 		return 0;
258 	}
259 	if (!BN_sub(tmp, dh_p, BN_value_one()) ||
260 	    BN_cmp(dh_pub, tmp) != -1) {		/* pub_exp > p-2 */
261 		BN_clear_free(tmp);
262 		logit("invalid public DH value: >= p-1");
263 		return 0;
264 	}
265 	BN_clear_free(tmp);
266 
267 	for (i = 0; i <= n; i++)
268 		if (BN_is_bit_set(dh_pub, i))
269 			bits_set++;
270 	debug2("bits set: %d/%d", bits_set, BN_num_bits(dh_p));
271 
272 	/*
273 	 * if g==2 and bits_set==1 then computing log_g(dh_pub) is trivial
274 	 */
275 	if (bits_set < 4) {
276 		logit("invalid public DH value (%d/%d)",
277 		    bits_set, BN_num_bits(dh_p));
278 		return 0;
279 	}
280 	return 1;
281 }
282 
283 int
284 dh_gen_key(DH *dh, int need)
285 {
286 	int pbits;
287 	const BIGNUM *dh_p, *pub_key;
288 
289 	DH_get0_pqg(dh, &dh_p, NULL, NULL);
290 
291 	if (need < 0 || dh_p == NULL ||
292 	    (pbits = BN_num_bits(dh_p)) <= 0 ||
293 	    need > INT_MAX / 2 || 2 * need > pbits)
294 		return SSH_ERR_INVALID_ARGUMENT;
295 	if (need < 256)
296 		need = 256;
297 	/*
298 	 * Pollard Rho, Big step/Little Step attacks are O(sqrt(n)),
299 	 * so double requested need here.
300 	 */
301 	if (!DH_set_length(dh, MINIMUM(need * 2, pbits - 1)))
302 		return SSH_ERR_LIBCRYPTO_ERROR;
303 
304 	if (DH_generate_key(dh) == 0)
305 		return SSH_ERR_LIBCRYPTO_ERROR;
306 	DH_get0_key(dh, &pub_key, NULL);
307 	if (!dh_pub_is_valid(dh, pub_key))
308 		return SSH_ERR_INVALID_FORMAT;
309 	return 0;
310 }
311 
312 DH *
313 dh_new_group_asc(const char *gen, const char *modulus)
314 {
315 	DH *dh;
316 	BIGNUM *dh_p = NULL, *dh_g = NULL;
317 
318 	if ((dh = DH_new()) == NULL)
319 		return NULL;
320 	if (BN_hex2bn(&dh_p, modulus) == 0 ||
321 	    BN_hex2bn(&dh_g, gen) == 0)
322 		goto fail;
323 	if (!DH_set0_pqg(dh, dh_p, NULL, dh_g))
324 		goto fail;
325 	return dh;
326  fail:
327 	DH_free(dh);
328 	BN_clear_free(dh_p);
329 	BN_clear_free(dh_g);
330 	return NULL;
331 }
332 
333 /*
334  * This just returns the group, we still need to generate the exchange
335  * value.
336  */
337 DH *
338 dh_new_group(BIGNUM *gen, BIGNUM *modulus)
339 {
340 	DH *dh;
341 
342 	if ((dh = DH_new()) == NULL)
343 		return NULL;
344 	if (!DH_set0_pqg(dh, modulus, NULL, gen)) {
345 		DH_free(dh);
346 		return NULL;
347 	}
348 
349 	return dh;
350 }
351 
352 /* rfc2409 "Second Oakley Group" (1024 bits) */
353 DH *
354 dh_new_group1(void)
355 {
356 	static char *gen = "2", *group1 =
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" "ECE65381"
362 	    "FFFFFFFF" "FFFFFFFF";
363 
364 	return (dh_new_group_asc(gen, group1));
365 }
366 
367 /* rfc3526 group 14 "2048-bit MODP Group" */
368 DH *
369 dh_new_group14(void)
370 {
371 	static char *gen = "2", *group14 =
372 	    "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
373 	    "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
374 	    "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
375 	    "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
376 	    "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
377 	    "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
378 	    "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
379 	    "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
380 	    "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
381 	    "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
382 	    "15728E5A" "8AACAA68" "FFFFFFFF" "FFFFFFFF";
383 
384 	return (dh_new_group_asc(gen, group14));
385 }
386 
387 /* rfc3526 group 16 "4096-bit MODP Group" */
388 DH *
389 dh_new_group16(void)
390 {
391 	static char *gen = "2", *group16 =
392 	    "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
393 	    "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
394 	    "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
395 	    "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
396 	    "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
397 	    "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
398 	    "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
399 	    "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
400 	    "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
401 	    "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
402 	    "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
403 	    "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
404 	    "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
405 	    "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
406 	    "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
407 	    "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
408 	    "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
409 	    "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
410 	    "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
411 	    "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
412 	    "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34063199"
413 	    "FFFFFFFF" "FFFFFFFF";
414 
415 	return (dh_new_group_asc(gen, group16));
416 }
417 
418 /* rfc3526 group 18 "8192-bit MODP Group" */
419 DH *
420 dh_new_group18(void)
421 {
422 	static char *gen = "2", *group18 =
423 	    "FFFFFFFF" "FFFFFFFF" "C90FDAA2" "2168C234" "C4C6628B" "80DC1CD1"
424 	    "29024E08" "8A67CC74" "020BBEA6" "3B139B22" "514A0879" "8E3404DD"
425 	    "EF9519B3" "CD3A431B" "302B0A6D" "F25F1437" "4FE1356D" "6D51C245"
426 	    "E485B576" "625E7EC6" "F44C42E9" "A637ED6B" "0BFF5CB6" "F406B7ED"
427 	    "EE386BFB" "5A899FA5" "AE9F2411" "7C4B1FE6" "49286651" "ECE45B3D"
428 	    "C2007CB8" "A163BF05" "98DA4836" "1C55D39A" "69163FA8" "FD24CF5F"
429 	    "83655D23" "DCA3AD96" "1C62F356" "208552BB" "9ED52907" "7096966D"
430 	    "670C354E" "4ABC9804" "F1746C08" "CA18217C" "32905E46" "2E36CE3B"
431 	    "E39E772C" "180E8603" "9B2783A2" "EC07A28F" "B5C55DF0" "6F4C52C9"
432 	    "DE2BCBF6" "95581718" "3995497C" "EA956AE5" "15D22618" "98FA0510"
433 	    "15728E5A" "8AAAC42D" "AD33170D" "04507A33" "A85521AB" "DF1CBA64"
434 	    "ECFB8504" "58DBEF0A" "8AEA7157" "5D060C7D" "B3970F85" "A6E1E4C7"
435 	    "ABF5AE8C" "DB0933D7" "1E8C94E0" "4A25619D" "CEE3D226" "1AD2EE6B"
436 	    "F12FFA06" "D98A0864" "D8760273" "3EC86A64" "521F2B18" "177B200C"
437 	    "BBE11757" "7A615D6C" "770988C0" "BAD946E2" "08E24FA0" "74E5AB31"
438 	    "43DB5BFC" "E0FD108E" "4B82D120" "A9210801" "1A723C12" "A787E6D7"
439 	    "88719A10" "BDBA5B26" "99C32718" "6AF4E23C" "1A946834" "B6150BDA"
440 	    "2583E9CA" "2AD44CE8" "DBBBC2DB" "04DE8EF9" "2E8EFC14" "1FBECAA6"
441 	    "287C5947" "4E6BC05D" "99B2964F" "A090C3A2" "233BA186" "515BE7ED"
442 	    "1F612970" "CEE2D7AF" "B81BDD76" "2170481C" "D0069127" "D5B05AA9"
443 	    "93B4EA98" "8D8FDDC1" "86FFB7DC" "90A6C08F" "4DF435C9" "34028492"
444 	    "36C3FAB4" "D27C7026" "C1D4DCB2" "602646DE" "C9751E76" "3DBA37BD"
445 	    "F8FF9406" "AD9E530E" "E5DB382F" "413001AE" "B06A53ED" "9027D831"
446 	    "179727B0" "865A8918" "DA3EDBEB" "CF9B14ED" "44CE6CBA" "CED4BB1B"
447 	    "DB7F1447" "E6CC254B" "33205151" "2BD7AF42" "6FB8F401" "378CD2BF"
448 	    "5983CA01" "C64B92EC" "F032EA15" "D1721D03" "F482D7CE" "6E74FEF6"
449 	    "D55E702F" "46980C82" "B5A84031" "900B1C9E" "59E7C97F" "BEC7E8F3"
450 	    "23A97A7E" "36CC88BE" "0F1D45B7" "FF585AC5" "4BD407B2" "2B4154AA"
451 	    "CC8F6D7E" "BF48E1D8" "14CC5ED2" "0F8037E0" "A79715EE" "F29BE328"
452 	    "06A1D58B" "B7C5DA76" "F550AA3D" "8A1FBFF0" "EB19CCB1" "A313D55C"
453 	    "DA56C9EC" "2EF29632" "387FE8D7" "6E3C0468" "043E8F66" "3F4860EE"
454 	    "12BF2D5B" "0B7474D6" "E694F91E" "6DBE1159" "74A3926F" "12FEE5E4"
455 	    "38777CB6" "A932DF8C" "D8BEC4D0" "73B931BA" "3BC832B6" "8D9DD300"
456 	    "741FA7BF" "8AFC47ED" "2576F693" "6BA42466" "3AAB639C" "5AE4F568"
457 	    "3423B474" "2BF1C978" "238F16CB" "E39D652D" "E3FDB8BE" "FC848AD9"
458 	    "22222E04" "A4037C07" "13EB57A8" "1A23F0C7" "3473FC64" "6CEA306B"
459 	    "4BCBC886" "2F8385DD" "FA9D4B7F" "A2C087E8" "79683303" "ED5BDD3A"
460 	    "062B3CF5" "B3A278A6" "6D2A13F8" "3F44F82D" "DF310EE0" "74AB6A36"
461 	    "4597E899" "A0255DC1" "64F31CC5" "0846851D" "F9AB4819" "5DED7EA1"
462 	    "B1D510BD" "7EE74D73" "FAF36BC3" "1ECFA268" "359046F4" "EB879F92"
463 	    "4009438B" "481C6CD7" "889A002E" "D5EE382B" "C9190DA6" "FC026E47"
464 	    "9558E447" "5677E9AA" "9E3050E2" "765694DF" "C81F56E8" "80B96E71"
465 	    "60C980DD" "98EDD3DF" "FFFFFFFF" "FFFFFFFF";
466 
467 	return (dh_new_group_asc(gen, group18));
468 }
469 
470 /* Select fallback group used by DH-GEX if moduli file cannot be read. */
471 DH *
472 dh_new_group_fallback(int max)
473 {
474 	debug3_f("requested max size %d", max);
475 	if (max < 3072) {
476 		debug3("using 2k bit group 14");
477 		return dh_new_group14();
478 	} else if (max < 6144) {
479 		debug3("using 4k bit group 16");
480 		return dh_new_group16();
481 	}
482 	debug3("using 8k bit group 18");
483 	return dh_new_group18();
484 }
485 
486 /*
487  * Estimates the group order for a Diffie-Hellman group that has an
488  * attack complexity approximately the same as O(2**bits).
489  * Values from NIST Special Publication 800-57: Recommendation for Key
490  * Management Part 1 (rev 3) limited by the recommended maximum value
491  * from RFC4419 section 3.
492  */
493 u_int
494 dh_estimate(int bits)
495 {
496 	if (bits <= 112)
497 		return 2048;
498 	if (bits <= 128)
499 		return 3072;
500 	if (bits <= 192)
501 		return 7680;
502 	return 8192;
503 }
504 
505 #endif /* WITH_OPENSSL */
506