int ecc_encrypt_key(const unsigned char *inkey, unsigned long keylen, unsigned char *out, unsigned long *len, prng_state *prng, int wprng, int hash, ecc_key *key) { unsigned char pub_expt[256], ecc_shared[256], skey[MAXBLOCKSIZE]; ecc_key pubkey; unsigned long x, y, z, hashsize, pubkeysize; int err; _ARGCHK(inkey != NULL); _ARGCHK(out != NULL); _ARGCHK(len != NULL); _ARGCHK(key != NULL); /* check that wprng/cipher/hash are not invalid */ if ((err = prng_is_valid(wprng)) != CRYPT_OK) { return err; } if ((err = hash_is_valid(hash)) != CRYPT_OK) { return err; } if (keylen > hash_descriptor[hash].hashsize) { return CRYPT_INVALID_HASH; } /* make a random key and export the public copy */ if ((err = ecc_make_key(prng, wprng, ecc_get_size(key), &pubkey)) != CRYPT_OK) { return err; } pubkeysize = (unsigned long)sizeof(pub_expt); if ((err = ecc_export(pub_expt, &pubkeysize, PK_PUBLIC, &pubkey)) != CRYPT_OK) { ecc_free(&pubkey); return err; } /* now check if the out buffer is big enough */ if (*len < (9 + PACKET_SIZE + pubkeysize + hash_descriptor[hash].hashsize)) { ecc_free(&pubkey); return CRYPT_BUFFER_OVERFLOW; } /* make random key */ hashsize = hash_descriptor[hash].hashsize; x = (unsigned long)sizeof(ecc_shared); if ((err = ecc_shared_secret(&pubkey, key, ecc_shared, &x)) != CRYPT_OK) { ecc_free(&pubkey); return err; } ecc_free(&pubkey); z = (unsigned long)sizeof(skey); if ((err = hash_memory(hash, ecc_shared, x, skey, &z)) != CRYPT_OK) { return err; } /* Encrypt the key */ for (x = 0; x < keylen; x++) { skey[x] ^= inkey[x]; } /* output header */ y = PACKET_SIZE; /* size of hash name and the name itself */ out[y++] = hash_descriptor[hash].ID; /* length of ECC pubkey and the key itself */ STORE32L(pubkeysize, out+y); y += 4; for (x = 0; x < pubkeysize; x++, y++) { out[y] = pub_expt[x]; } STORE32L(keylen, out+y); y += 4; /* Store the encrypted key */ for (x = 0; x < keylen; x++, y++) { out[y] = skey[x]; } /* store header */ packet_store_header(out, PACKET_SECT_ECC, PACKET_SUB_ENC_KEY); #ifdef CLEAN_STACK /* clean up */ zeromem(pub_expt, sizeof(pub_expt)); zeromem(ecc_shared, sizeof(ecc_shared)); zeromem(skey, sizeof(skey)); #endif *len = y; return CRYPT_OK; } int ecc_decrypt_key(const unsigned char *in, unsigned long inlen, unsigned char *outkey, unsigned long *keylen, ecc_key *key) { unsigned char shared_secret[256], skey[MAXBLOCKSIZE]; unsigned long x, y, z, hashsize, keysize; int hash, res, err; ecc_key pubkey; _ARGCHK(in != NULL); _ARGCHK(outkey != NULL); _ARGCHK(keylen != NULL); _ARGCHK(key != NULL); /* right key type? */ if (key->type != PK_PRIVATE) { return CRYPT_PK_NOT_PRIVATE; } /* correct length ? */ if (inlen < PACKET_SIZE+1+4+4) { return CRYPT_INVALID_PACKET; } else { inlen -= PACKET_SIZE+1+4+4; } /* is header correct? */ if ((err = packet_valid_header((unsigned char *)in, PACKET_SECT_ECC, PACKET_SUB_ENC_KEY)) != CRYPT_OK) { return err; } /* now lets get the hash name */ y = PACKET_SIZE; hash = find_hash_id(in[y++]); if (hash == -1) { return CRYPT_INVALID_HASH; } /* common values */ hashsize = hash_descriptor[hash].hashsize; /* get public key */ LOAD32L(x, in+y); if (inlen < x) { return CRYPT_INVALID_PACKET; } else { inlen -= x; } y += 4; if ((err = ecc_import(in+y, x, &pubkey)) != CRYPT_OK) { return err; } y += x; /* make shared key */ x = (unsigned long)sizeof(shared_secret); if ((err = ecc_shared_secret(key, &pubkey, shared_secret, &x)) != CRYPT_OK) { ecc_free(&pubkey); return err; } ecc_free(&pubkey); z = (unsigned long)sizeof(skey); if ((err = hash_memory(hash, shared_secret, x, skey, &z)) != CRYPT_OK) { return err; } LOAD32L(keysize, in+y); if (inlen < keysize) { return CRYPT_INVALID_PACKET; } else { inlen -= keysize; } y += 4; if (*keylen < keysize) { res = CRYPT_BUFFER_OVERFLOW; goto done; } /* Decrypt the key */ for (x = 0; x < keysize; x++, y++) { outkey[x] = skey[x] ^ in[y]; } *keylen = keysize; res = CRYPT_OK; done: #ifdef CLEAN_STACK zeromem(shared_secret, sizeof(shared_secret)); zeromem(skey, sizeof(skey)); #endif return res; } int ecc_sign_hash(const unsigned char *in, unsigned long inlen, unsigned char *out, unsigned long *outlen, prng_state *prng, int wprng, ecc_key *key) { ecc_key pubkey; mp_int b, p; unsigned char epubkey[256], er[256]; unsigned long x, y, pubkeysize, rsize; int res, err; _ARGCHK(in != NULL); _ARGCHK(out != NULL); _ARGCHK(outlen != NULL); _ARGCHK(key != NULL); /* is this a private key? */ if (key->type != PK_PRIVATE) { return CRYPT_PK_NOT_PRIVATE; } /* is the IDX valid ? */ if (is_valid_idx(key->idx) != 1) { return CRYPT_PK_INVALID_TYPE; } if ((err = prng_is_valid(wprng)) != CRYPT_OK) { return err; } /* make up a key and export the public copy */ if ((err = ecc_make_key(prng, wprng, ecc_get_size(key), &pubkey)) != CRYPT_OK) { return err; } pubkeysize = (unsigned long)sizeof(epubkey); if ((err = ecc_export(epubkey, &pubkeysize, PK_PUBLIC, &pubkey)) != CRYPT_OK) { ecc_free(&pubkey); return err; } /* get the hash and load it as a bignum into 'b' */ /* init the bignums */ if (mp_init_multi(&b, &p, NULL) != MP_OKAY) { ecc_free(&pubkey); return CRYPT_MEM; } if (mp_read_radix(&p, (unsigned char *)sets[key->idx].order, 64) != MP_OKAY) { goto error; } if (mp_read_unsigned_bin(&b, (unsigned char *)in, (int)inlen) != MP_OKAY) { goto error; } /* find b = (m - x)/k */ if (mp_invmod(&pubkey.k, &p, &pubkey.k) != MP_OKAY) { goto error; } /* k = 1/k */ if (mp_submod(&b, &key->k, &p, &b) != MP_OKAY) { goto error; } /* b = m - x */ if (mp_mulmod(&b, &pubkey.k, &p, &b) != MP_OKAY) { goto error; } /* b = (m - x)/k */ /* export it */ rsize = (unsigned long)mp_unsigned_bin_size(&b); if (rsize > (unsigned long)sizeof(er)) { goto error; } (void)mp_to_unsigned_bin(&b, er); /* now lets check the outlen before we write */ if (*outlen < (12 + rsize + pubkeysize)) { res = CRYPT_BUFFER_OVERFLOW; goto done1; } /* lets output */ y = PACKET_SIZE; /* size of public key */ STORE32L(pubkeysize, out+y); y += 4; /* copy the public key */ for (x = 0; x < pubkeysize; x++, y++) { out[y] = epubkey[x]; } /* size of 'r' */ STORE32L(rsize, out+y); y += 4; /* copy r */ for (x = 0; x < rsize; x++, y++) { out[y] = er[x]; } /* store header */ packet_store_header(out, PACKET_SECT_ECC, PACKET_SUB_SIGNED); /* clear memory */ *outlen = y; res = CRYPT_OK; goto done1; error: res = CRYPT_MEM; done1: mp_clear_multi(&b, &p, NULL); ecc_free(&pubkey); #ifdef CLEAN_STACK zeromem(er, sizeof(er)); zeromem(epubkey, sizeof(epubkey)); #endif return res; } /* verify that mG = (bA + Y) * * The signatures work by making up a fresh key "a" with a public key "A". Now we want to sign so the * public key Y = xG can verify it. * * b = (m - x)/k, A is the public key embedded and Y is the users public key [who signed it] * A = kG therefore bA == ((m-x)/k)kG == (m-x)G * * Adding Y = xG to the bA gives us (m-x)G + xG == mG * * The user given only xG, kG and b cannot determine k or x which means they can't find the private key. * */ int ecc_verify_hash(const unsigned char *sig, unsigned long siglen, const unsigned char *hash, unsigned long inlen, int *stat, ecc_key *key) { ecc_point *mG; ecc_key pubkey; mp_int b, p, m, mu; unsigned long x, y; int res, err; _ARGCHK(sig != NULL); _ARGCHK(hash != NULL); _ARGCHK(hash != NULL); _ARGCHK(key != NULL); /* default to invalid signature */ *stat = 0; if (siglen < PACKET_SIZE+4+4) { return CRYPT_INVALID_PACKET; } else { siglen -= PACKET_SIZE+4+4; } /* is the message format correct? */ if ((err = packet_valid_header((unsigned char *)sig, PACKET_SECT_ECC, PACKET_SUB_SIGNED)) != CRYPT_OK) { return err; } /* get hash name */ y = PACKET_SIZE; /* get size of public key */ LOAD32L(x, sig+y); if (siglen < x) { return CRYPT_INVALID_PACKET; } else { siglen -= x; } y += 4; /* load the public key */ if ((err = ecc_import((unsigned char*)sig+y, x, &pubkey)) != CRYPT_OK) { return err; } y += x; /* load size of 'b' */ LOAD32L(x, sig+y); if (siglen < x) { return CRYPT_INVALID_PACKET; } else { siglen -= x; } y += 4; /* init values */ if (mp_init_multi(&b, &m, &p, &mu, NULL) != MP_OKAY) { ecc_free(&pubkey); return CRYPT_MEM; } mG = new_point(); if (mG == NULL) { mp_clear_multi(&b, &m, &p, &mu, NULL); ecc_free(&pubkey); return CRYPT_MEM; } /* load b */ if (mp_read_unsigned_bin(&b, (unsigned char *)sig+y, (int)x) != MP_OKAY) { goto error; } y += x; /* get m in binary a bignum */ if (mp_read_unsigned_bin(&m, (unsigned char *)hash, (int)inlen) != MP_OKAY) { goto error; } /* load prime */ if (mp_read_radix(&p, (unsigned char *)sets[key->idx].prime, 64) != MP_OKAY) { goto error; } /* calculate barrett stuff */ mp_set(&mu, 1); mp_lshd(&mu, 2 * USED(&p)); if (mp_div(&mu, &p, &mu, NULL) != MP_OKAY) { res = CRYPT_MEM; goto done; } /* get bA */ if (ecc_mulmod(&b, &pubkey.pubkey, &pubkey.pubkey, &p) != CRYPT_OK) { goto error; } /* get bA + Y */ if (add_point(&pubkey.pubkey, &key->pubkey, &pubkey.pubkey, &p, &mu) != CRYPT_OK) { goto error; } /* get mG */ if (mp_read_radix(&mG->x, (unsigned char *)sets[key->idx].Gx, 64) != MP_OKAY) { goto error; } if (mp_read_radix(&mG->y, (unsigned char *)sets[key->idx].Gy, 64) != MP_OKAY) { goto error; } if (ecc_mulmod(&m, mG, mG, &p) != CRYPT_OK) { goto error; } /* compare mG to bA + Y */ if (mp_cmp(&mG->x, &pubkey.pubkey.x) == MP_EQ && mp_cmp(&mG->y, &pubkey.pubkey.y) == MP_EQ) { *stat = 1; } /* clear up and return */ res = CRYPT_OK; goto done; error: res = CRYPT_ERROR; done: del_point(mG); ecc_free(&pubkey); mp_clear_multi(&p, &m, &b, &mu, NULL); return res; }