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authorMatt Johnston <matt@ucc.asn.au>2018-02-09 21:44:05 +0800
committerMatt Johnston <matt@ucc.asn.au>2018-02-09 21:44:05 +0800
commit4f2eb1914bdac3ed3ee504ad86061281dbe0d074 (patch)
tree078293375c3f3ee2d485cf9559a08d65d460786a /libtomcrypt/src/pk/dsa/dsa_generate_pqg.c
parentd72f50ff3284e15124a0f233c26339229fe305ac (diff)
Update to libtomcrypt 1.18.1, merged with Dropbear changes
Diffstat (limited to 'libtomcrypt/src/pk/dsa/dsa_generate_pqg.c')
-rw-r--r--libtomcrypt/src/pk/dsa/dsa_generate_pqg.c244
1 files changed, 244 insertions, 0 deletions
diff --git a/libtomcrypt/src/pk/dsa/dsa_generate_pqg.c b/libtomcrypt/src/pk/dsa/dsa_generate_pqg.c
new file mode 100644
index 0000000..91c7ef7
--- /dev/null
+++ b/libtomcrypt/src/pk/dsa/dsa_generate_pqg.c
@@ -0,0 +1,244 @@
+/* LibTomCrypt, modular cryptographic library -- Tom St Denis
+ *
+ * LibTomCrypt is a library that provides various cryptographic
+ * algorithms in a highly modular and flexible manner.
+ *
+ * The library is free for all purposes without any express
+ * guarantee it works.
+ */
+#include "tomcrypt.h"
+
+/**
+ @file dsa_generate_pqg.c
+ DSA implementation - generate DSA parameters p, q & g
+*/
+
+#ifdef LTC_MDSA
+
+/**
+ Create DSA parameters (INTERNAL ONLY, not part of public API)
+ @param prng An active PRNG state
+ @param wprng The index of the PRNG desired
+ @param group_size Size of the multiplicative group (octets)
+ @param modulus_size Size of the modulus (octets)
+ @param p [out] bignum where generated 'p' is stored (must be initialized by caller)
+ @param q [out] bignum where generated 'q' is stored (must be initialized by caller)
+ @param g [out] bignum where generated 'g' is stored (must be initialized by caller)
+ @return CRYPT_OK if successful, upon error this function will free all allocated memory
+*/
+static int _dsa_make_params(prng_state *prng, int wprng, int group_size, int modulus_size, void *p, void *q, void *g)
+{
+ unsigned long L, N, n, outbytes, seedbytes, counter, j, i;
+ int err, res, mr_tests_q, mr_tests_p, found_p, found_q, hash;
+ unsigned char *wbuf, *sbuf, digest[MAXBLOCKSIZE];
+ void *t2L1, *t2N1, *t2q, *t2seedlen, *U, *W, *X, *c, *h, *e, *seedinc;
+
+ /* check size */
+ if (group_size >= LTC_MDSA_MAX_GROUP || group_size < 1 || group_size >= modulus_size) {
+ return CRYPT_INVALID_ARG;
+ }
+
+ /* FIPS-186-4 A.1.1.2 Generation of the Probable Primes p and q Using an Approved Hash Function
+ *
+ * L = The desired length of the prime p (in bits e.g. L = 1024)
+ * N = The desired length of the prime q (in bits e.g. N = 160)
+ * seedlen = The desired bit length of the domain parameter seed; seedlen shallbe equal to or greater than N
+ * outlen = The bit length of Hash function
+ *
+ * 1. Check that the (L, N)
+ * 2. If (seedlen <N), then return INVALID.
+ * 3. n = ceil(L / outlen) - 1
+ * 4. b = L- 1 - (n * outlen)
+ * 5. domain_parameter_seed = an arbitrary sequence of seedlen bits
+ * 6. U = Hash (domain_parameter_seed) mod 2^(N-1)
+ * 7. q = 2^(N-1) + U + 1 - (U mod 2)
+ * 8. Test whether or not q is prime as specified in Appendix C.3
+ * 9. If qis not a prime, then go to step 5.
+ * 10. offset = 1
+ * 11. For counter = 0 to (4L- 1) do {
+ * For j=0 to n do {
+ * Vj = Hash ((domain_parameter_seed+ offset + j) mod 2^seedlen
+ * }
+ * W = V0 + (V1 *2^outlen) + ... + (Vn-1 * 2^((n-1) * outlen)) + ((Vn mod 2^b) * 2^(n * outlen))
+ * X = W + 2^(L-1) Comment: 0 <= W < 2^(L-1); hence 2^(L-1) <= X < 2^L
+ * c = X mod 2*q
+ * p = X - (c - 1) Comment: p ~ 1 (mod 2*q)
+ * If (p >= 2^(L-1)) {
+ * Test whether or not p is prime as specified in Appendix C.3.
+ * If p is determined to be prime, then return VALID and the values of p, qand (optionally) the values of domain_parameter_seed and counter
+ * }
+ * offset = offset + n + 1 Comment: Increment offset
+ * }
+ */
+
+ seedbytes = group_size;
+ L = modulus_size * 8;
+ N = group_size * 8;
+
+ /* XXX-TODO no Lucas test */
+#ifdef LTC_MPI_HAS_LUCAS_TEST
+ /* M-R tests (when followed by one Lucas test) according FIPS-186-4 - Appendix C.3 - table C.1 */
+ mr_tests_p = (L <= 2048) ? 3 : 2;
+ if (N <= 160) { mr_tests_q = 19; }
+ else if (N <= 224) { mr_tests_q = 24; }
+ else { mr_tests_q = 27; }
+#else
+ /* M-R tests (without Lucas test) according FIPS-186-4 - Appendix C.3 - table C.1 */
+ if (L <= 1024) { mr_tests_p = 40; }
+ else if (L <= 2048) { mr_tests_p = 56; }
+ else { mr_tests_p = 64; }
+
+ if (N <= 160) { mr_tests_q = 40; }
+ else if (N <= 224) { mr_tests_q = 56; }
+ else { mr_tests_q = 64; }
+#endif
+
+ if (N <= 256) {
+ hash = register_hash(&sha256_desc);
+ }
+ else if (N <= 384) {
+ hash = register_hash(&sha384_desc);
+ }
+ else if (N <= 512) {
+ hash = register_hash(&sha512_desc);
+ }
+ else {
+ return CRYPT_INVALID_ARG; /* group_size too big */
+ }
+
+ if ((err = hash_is_valid(hash)) != CRYPT_OK) { return err; }
+ outbytes = hash_descriptor[hash].hashsize;
+
+ n = ((L + outbytes*8 - 1) / (outbytes*8)) - 1;
+
+ if ((wbuf = XMALLOC((n+1)*outbytes)) == NULL) { err = CRYPT_MEM; goto cleanup3; }
+ if ((sbuf = XMALLOC(seedbytes)) == NULL) { err = CRYPT_MEM; goto cleanup2; }
+
+ err = mp_init_multi(&t2L1, &t2N1, &t2q, &t2seedlen, &U, &W, &X, &c, &h, &e, &seedinc, NULL);
+ if (err != CRYPT_OK) { goto cleanup1; }
+
+ if ((err = mp_2expt(t2L1, L-1)) != CRYPT_OK) { goto cleanup; }
+ /* t2L1 = 2^(L-1) */
+ if ((err = mp_2expt(t2N1, N-1)) != CRYPT_OK) { goto cleanup; }
+ /* t2N1 = 2^(N-1) */
+ if ((err = mp_2expt(t2seedlen, seedbytes*8)) != CRYPT_OK) { goto cleanup; }
+ /* t2seedlen = 2^seedlen */
+
+ for(found_p=0; !found_p;) {
+ /* q */
+ for(found_q=0; !found_q;) {
+ if (prng_descriptor[wprng].read(sbuf, seedbytes, prng) != seedbytes) { err = CRYPT_ERROR_READPRNG; goto cleanup; }
+ i = outbytes;
+ if ((err = hash_memory(hash, sbuf, seedbytes, digest, &i)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_read_unsigned_bin(U, digest, outbytes)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_mod(U, t2N1, U)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_add(t2N1, U, q)) != CRYPT_OK) { goto cleanup; }
+ if (!mp_isodd(q)) mp_add_d(q, 1, q);
+ if ((err = mp_prime_is_prime(q, mr_tests_q, &res)) != CRYPT_OK) { goto cleanup; }
+ if (res == LTC_MP_YES) found_q = 1;
+ }
+
+ /* p */
+ if ((err = mp_read_unsigned_bin(seedinc, sbuf, seedbytes)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_add(q, q, t2q)) != CRYPT_OK) { goto cleanup; }
+ for(counter=0; counter < 4*L && !found_p; counter++) {
+ for(j=0; j<=n; j++) {
+ if ((err = mp_add_d(seedinc, 1, seedinc)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_mod(seedinc, t2seedlen, seedinc)) != CRYPT_OK) { goto cleanup; }
+ /* seedinc = (seedinc+1) % 2^seed_bitlen */
+ if ((i = mp_unsigned_bin_size(seedinc)) > seedbytes) { err = CRYPT_INVALID_ARG; goto cleanup; }
+ zeromem(sbuf, seedbytes);
+ if ((err = mp_to_unsigned_bin(seedinc, sbuf + seedbytes-i)) != CRYPT_OK) { goto cleanup; }
+ i = outbytes;
+ err = hash_memory(hash, sbuf, seedbytes, wbuf+(n-j)*outbytes, &i);
+ if (err != CRYPT_OK) { goto cleanup; }
+ }
+ if ((err = mp_read_unsigned_bin(W, wbuf, (n+1)*outbytes)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_mod(W, t2L1, W)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_add(W, t2L1, X)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_mod(X, t2q, c)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_sub_d(c, 1, p)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_sub(X, p, p)) != CRYPT_OK) { goto cleanup; }
+ if (mp_cmp(p, t2L1) != LTC_MP_LT) {
+ /* p >= 2^(L-1) */
+ if ((err = mp_prime_is_prime(p, mr_tests_p, &res)) != CRYPT_OK) { goto cleanup; }
+ if (res == LTC_MP_YES) {
+ found_p = 1;
+ }
+ }
+ }
+ }
+
+ /* FIPS-186-4 A.2.1 Unverifiable Generation of the Generator g
+ * 1. e = (p - 1)/q
+ * 2. h = any integer satisfying: 1 < h < (p - 1)
+ * h could be obtained from a random number generator or from a counter that changes after each use
+ * 3. g = h^e mod p
+ * 4. if (g == 1), then go to step 2.
+ *
+ */
+
+ if ((err = mp_sub_d(p, 1, e)) != CRYPT_OK) { goto cleanup; }
+ if ((err = mp_div(e, q, e, c)) != CRYPT_OK) { goto cleanup; }
+ /* e = (p - 1)/q */
+ i = mp_count_bits(p);
+ do {
+ do {
+ if ((err = rand_bn_bits(h, i, prng, wprng)) != CRYPT_OK) { goto cleanup; }
+ } while (mp_cmp(h, p) != LTC_MP_LT || mp_cmp_d(h, 2) != LTC_MP_GT);
+ if ((err = mp_sub_d(h, 1, h)) != CRYPT_OK) { goto cleanup; }
+ /* h is randon and 1 < h < (p-1) */
+ if ((err = mp_exptmod(h, e, p, g)) != CRYPT_OK) { goto cleanup; }
+ } while (mp_cmp_d(g, 1) == LTC_MP_EQ);
+
+ err = CRYPT_OK;
+cleanup:
+ mp_clear_multi(t2L1, t2N1, t2q, t2seedlen, U, W, X, c, h, e, seedinc, NULL);
+cleanup1:
+ XFREE(sbuf);
+cleanup2:
+ XFREE(wbuf);
+cleanup3:
+ return err;
+}
+
+/**
+ Generate DSA parameters p, q & g
+ @param prng An active PRNG state
+ @param wprng The index of the PRNG desired
+ @param group_size Size of the multiplicative group (octets)
+ @param modulus_size Size of the modulus (octets)
+ @param key [out] Where to store the created key
+ @return CRYPT_OK if successful.
+*/
+int dsa_generate_pqg(prng_state *prng, int wprng, int group_size, int modulus_size, dsa_key *key)
+{
+ int err;
+
+ LTC_ARGCHK(key != NULL);
+ LTC_ARGCHK(ltc_mp.name != NULL);
+
+ /* init mp_ints */
+ if ((err = mp_init_multi(&key->p, &key->g, &key->q, &key->x, &key->y, NULL)) != CRYPT_OK) {
+ return err;
+ }
+ /* generate params */
+ err = _dsa_make_params(prng, wprng, group_size, modulus_size, key->p, key->q, key->g);
+ if (err != CRYPT_OK) {
+ goto cleanup;
+ }
+
+ key->qord = group_size;
+
+ return CRYPT_OK;
+
+cleanup:
+ dsa_free(key);
+ return err;
+}
+
+#endif
+
+/* ref: $Format:%D$ */
+/* git commit: $Format:%H$ */
+/* commit time: $Format:%ai$ */