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      1 /*
      2  * Dropbear - a SSH2 server
      3  *
      4  * Copyright (c) 2002,2003 Matt Johnston
      5  * All rights reserved.
      6  *
      7  * Permission is hereby granted, free of charge, to any person obtaining a copy
      8  * of this software and associated documentation files (the "Software"), to deal
      9  * in the Software without restriction, including without limitation the rights
     10  * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
     11  * copies of the Software, and to permit persons to whom the Software is
     12  * furnished to do so, subject to the following conditions:
     13  *
     14  * The above copyright notice and this permission notice shall be included in
     15  * all copies or substantial portions of the Software.
     16  *
     17  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
     18  * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
     19  * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
     20  * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
     21  * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
     22  * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
     23  * SOFTWARE. */
     24 
     25 #include "includes.h"
     26 #include "dbutil.h"
     27 #include "bignum.h"
     28 #include "random.h"
     29 #include "rsa.h"
     30 #include "genrsa.h"
     31 
     32 #define RSA_E 65537
     33 
     34 #ifdef DROPBEAR_RSA
     35 
     36 static void getrsaprime(mp_int* prime, mp_int *primeminus,
     37 		mp_int* rsa_e, unsigned int size);
     38 
     39 /* mostly taken from libtomcrypt's rsa key generation routine */
     40 rsa_key * gen_rsa_priv_key(unsigned int size) {
     41 
     42 	rsa_key * key;
     43 	DEF_MP_INT(pminus);
     44 	DEF_MP_INT(qminus);
     45 	DEF_MP_INT(lcm);
     46 
     47 	key = (rsa_key*)m_malloc(sizeof(rsa_key));
     48 
     49 	key->e = (mp_int*)m_malloc(sizeof(mp_int));
     50 	key->n = (mp_int*)m_malloc(sizeof(mp_int));
     51 	key->d = (mp_int*)m_malloc(sizeof(mp_int));
     52 	key->p = (mp_int*)m_malloc(sizeof(mp_int));
     53 	key->q = (mp_int*)m_malloc(sizeof(mp_int));
     54 
     55 	m_mp_init_multi(key->e, key->n, key->d, key->p, key->q,
     56 			&pminus, &lcm, &qminus, NULL);
     57 
     58 	seedrandom();
     59 
     60 	if (mp_set_int(key->e, RSA_E) != MP_OKAY) {
     61 		fprintf(stderr, "rsa generation failed\n");
     62 		exit(1);
     63 	}
     64 
     65 	/* PuTTY doesn't like it if the modulus isn't a multiple of 8 bits,
     66 	 * so we just generate them until we get one which is OK */
     67 	getrsaprime(key->p, &pminus, key->e, size/2);
     68 	do {
     69 		getrsaprime(key->q, &qminus, key->e, size/2);
     70 
     71 		if (mp_mul(key->p, key->q, key->n) != MP_OKAY) {
     72 			fprintf(stderr, "rsa generation failed\n");
     73 			exit(1);
     74 		}
     75 	} while (mp_count_bits(key->n) % 8 != 0);
     76 
     77 	/* lcm(p-1, q-1) */
     78 	if (mp_lcm(&pminus, &qminus, &lcm) != MP_OKAY) {
     79 		fprintf(stderr, "rsa generation failed\n");
     80 		exit(1);
     81 	}
     82 
     83 	/* de = 1 mod lcm(p-1,q-1) */
     84 	/* therefore d = (e^-1) mod lcm(p-1,q-1) */
     85 	if (mp_invmod(key->e, &lcm, key->d) != MP_OKAY) {
     86 		fprintf(stderr, "rsa generation failed\n");
     87 		exit(1);
     88 	}
     89 
     90 	mp_clear_multi(&pminus, &qminus, &lcm, NULL);
     91 
     92 	return key;
     93 }
     94 
     95 /* return a prime suitable for p or q */
     96 static void getrsaprime(mp_int* prime, mp_int *primeminus,
     97 		mp_int* rsa_e, unsigned int size) {
     98 
     99 	unsigned char *buf;
    100 	DEF_MP_INT(temp_gcd);
    101 
    102 	buf = (unsigned char*)m_malloc(size+1);
    103 
    104 	m_mp_init(&temp_gcd);
    105 	do {
    106 		/* generate a random odd number with MSB set, then find the
    107 		   the next prime above it */
    108 		genrandom(buf, size+1);
    109 		buf[0] |= 0x80; /* MSB set */
    110 
    111 		bytes_to_mp(prime, buf, size+1);
    112 
    113 		/* find the next integer which is prime, 8 round of miller-rabin */
    114 		if (mp_prime_next_prime(prime, 8, 0) != MP_OKAY) {
    115 			fprintf(stderr, "rsa generation failed\n");
    116 			exit(1);
    117 		}
    118 
    119 		/* subtract one to get p-1 */
    120 		if (mp_sub_d(prime, 1, primeminus) != MP_OKAY) {
    121 			fprintf(stderr, "rsa generation failed\n");
    122 			exit(1);
    123 		}
    124 		/* check relative primality to e */
    125 		if (mp_gcd(primeminus, rsa_e, &temp_gcd) != MP_OKAY) {
    126 			fprintf(stderr, "rsa generation failed\n");
    127 			exit(1);
    128 		}
    129 	} while (mp_cmp_d(&temp_gcd, 1) != MP_EQ); /* while gcd(p-1, e) != 1 */
    130 
    131 	/* now we have a good value for result */
    132 	mp_clear(&temp_gcd);
    133 	m_burn(buf, size+1);
    134 	m_free(buf);
    135 }
    136 
    137 #endif /* DROPBEAR_RSA */
    138