/* * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the OpenSSL license (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ /* ==================================================================== * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. * * The Elliptic Curve Public-Key Crypto Library (ECC Code) included * herein is developed by SUN MICROSYSTEMS, INC., and is contributed * to the OpenSSL project. * * The ECC Code is licensed pursuant to the OpenSSL open source * license provided below. * * The ECDH software is originally written by Douglas Stebila of * Sun Microsystems Laboratories. * */ #include #include #include #include "../e_os.h" #include /* for OPENSSL_NO_EC */ #include #include #include #include #include #include #include #ifdef OPENSSL_NO_EC int main(int argc, char *argv[]) { printf("No ECDH support\n"); return (0); } #else # include static const char rnd_seed[] = "string to make the random number generator think it has entropy"; static const int KDF1_SHA1_len = 20; static void *KDF1_SHA1(const void *in, size_t inlen, void *out, size_t *outlen) { if (*outlen < SHA_DIGEST_LENGTH) return NULL; *outlen = SHA_DIGEST_LENGTH; return SHA1(in, inlen, out); } static int test_ecdh_curve(int nid, BN_CTX *ctx, BIO *out) { EC_KEY *a = NULL; EC_KEY *b = NULL; BIGNUM *x_a = NULL, *y_a = NULL, *x_b = NULL, *y_b = NULL; char buf[12]; unsigned char *abuf = NULL, *bbuf = NULL; int i, alen, blen, aout, bout, ret = 0; const EC_GROUP *group; a = EC_KEY_new_by_curve_name(nid); b = EC_KEY_new_by_curve_name(nid); if (a == NULL || b == NULL) goto err; group = EC_KEY_get0_group(a); if ((x_a = BN_new()) == NULL) goto err; if ((y_a = BN_new()) == NULL) goto err; if ((x_b = BN_new()) == NULL) goto err; if ((y_b = BN_new()) == NULL) goto err; BIO_puts(out, "Testing key generation with "); BIO_puts(out, OBJ_nid2sn(nid)); # ifdef NOISY BIO_puts(out, "\n"); # else (void)BIO_flush(out); # endif if (!EC_KEY_generate_key(a)) goto err; if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field) { if (!EC_POINT_get_affine_coordinates_GFp (group, EC_KEY_get0_public_key(a), x_a, y_a, ctx)) goto err; } # ifndef OPENSSL_NO_EC2M else { if (!EC_POINT_get_affine_coordinates_GF2m(group, EC_KEY_get0_public_key(a), x_a, y_a, ctx)) goto err; } # endif # ifdef NOISY BIO_puts(out, " pri 1="); BN_print(out, a->priv_key); BIO_puts(out, "\n pub 1="); BN_print(out, x_a); BIO_puts(out, ","); BN_print(out, y_a); BIO_puts(out, "\n"); # else BIO_printf(out, " ."); (void)BIO_flush(out); # endif if (!EC_KEY_generate_key(b)) goto err; if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field) { if (!EC_POINT_get_affine_coordinates_GFp (group, EC_KEY_get0_public_key(b), x_b, y_b, ctx)) goto err; } # ifndef OPENSSL_NO_EC2M else { if (!EC_POINT_get_affine_coordinates_GF2m(group, EC_KEY_get0_public_key(b), x_b, y_b, ctx)) goto err; } # endif # ifdef NOISY BIO_puts(out, " pri 2="); BN_print(out, b->priv_key); BIO_puts(out, "\n pub 2="); BN_print(out, x_b); BIO_puts(out, ","); BN_print(out, y_b); BIO_puts(out, "\n"); # else BIO_printf(out, "."); (void)BIO_flush(out); # endif alen = KDF1_SHA1_len; abuf = OPENSSL_malloc(alen); aout = ECDH_compute_key(abuf, alen, EC_KEY_get0_public_key(b), a, KDF1_SHA1); # ifdef NOISY BIO_puts(out, " key1 ="); for (i = 0; i < aout; i++) { sprintf(buf, "%02X", abuf[i]); BIO_puts(out, buf); } BIO_puts(out, "\n"); # else BIO_printf(out, "."); (void)BIO_flush(out); # endif blen = KDF1_SHA1_len; bbuf = OPENSSL_malloc(blen); bout = ECDH_compute_key(bbuf, blen, EC_KEY_get0_public_key(a), b, KDF1_SHA1); # ifdef NOISY BIO_puts(out, " key2 ="); for (i = 0; i < bout; i++) { sprintf(buf, "%02X", bbuf[i]); BIO_puts(out, buf); } BIO_puts(out, "\n"); # else BIO_printf(out, "."); (void)BIO_flush(out); # endif if ((aout < 4) || (bout != aout) || (memcmp(abuf, bbuf, aout) != 0)) { # ifndef NOISY BIO_printf(out, " failed\n\n"); BIO_printf(out, "key a:\n"); BIO_printf(out, "private key: "); BN_print(out, EC_KEY_get0_private_key(a)); BIO_printf(out, "\n"); BIO_printf(out, "public key (x,y): "); BN_print(out, x_a); BIO_printf(out, ","); BN_print(out, y_a); BIO_printf(out, "\nkey b:\n"); BIO_printf(out, "private key: "); BN_print(out, EC_KEY_get0_private_key(b)); BIO_printf(out, "\n"); BIO_printf(out, "public key (x,y): "); BN_print(out, x_b); BIO_printf(out, ","); BN_print(out, y_b); BIO_printf(out, "\n"); BIO_printf(out, "generated key a: "); for (i = 0; i < bout; i++) { sprintf(buf, "%02X", bbuf[i]); BIO_puts(out, buf); } BIO_printf(out, "\n"); BIO_printf(out, "generated key b: "); for (i = 0; i < aout; i++) { sprintf(buf, "%02X", abuf[i]); BIO_puts(out, buf); } BIO_printf(out, "\n"); # endif fprintf(stderr, "Error in ECDH routines\n"); ret = 0; } else { # ifndef NOISY BIO_printf(out, " ok\n"); # endif ret = 1; } err: ERR_print_errors_fp(stderr); OPENSSL_free(abuf); OPENSSL_free(bbuf); BN_free(x_a); BN_free(y_a); BN_free(x_b); BN_free(y_b); EC_KEY_free(b); EC_KEY_free(a); return (ret); } typedef struct { const int nid; const char *da; const char *db; const char *Z; } ecdh_kat_t; static const ecdh_kat_t ecdh_kats[] = { /* Keys and shared secrets from RFC 5114 */ { NID_X9_62_prime192v1, "323FA3169D8E9C6593F59476BC142000AB5BE0E249C43426", "631F95BB4A67632C9C476EEE9AB695AB240A0499307FCF62", "AD420182633F8526BFE954ACDA376F05E5FF4F837F54FEBE" }, { NID_secp224r1, "B558EB6C288DA707BBB4F8FBAE2AB9E9CB62E3BC5C7573E22E26D37F", "AC3B1ADD3D9770E6F6A708EE9F3B8E0AB3B480E9F27F85C88B5E6D18", "52272F50F46F4EDC9151569092F46DF2D96ECC3B6DC1714A4EA949FA" }, { NID_X9_62_prime256v1, "814264145F2F56F2E96A8E337A1284993FAF432A5ABCE59E867B7291D507A3AF", "2CE1788EC197E096DB95A200CC0AB26A19CE6BCCAD562B8EEE1B593761CF7F41", "DD0F5396219D1EA393310412D19A08F1F5811E9DC8EC8EEA7F80D21C820C2788" }, { NID_secp384r1, "D27335EA71664AF244DD14E9FD1260715DFD8A7965571C48D709EE7A7962A156" "D706A90CBCB5DF2986F05FEADB9376F1", "52D1791FDB4B70F89C0F00D456C2F7023B6125262C36A7DF1F80231121CCE3D3" "9BE52E00C194A4132C4A6C768BCD94D2", "5EA1FC4AF7256D2055981B110575E0A8CAE53160137D904C59D926EB1B8456E4" "27AA8A4540884C37DE159A58028ABC0E" }, { NID_secp521r1, "0113F82DA825735E3D97276683B2B74277BAD27335EA71664AF2430CC4F33459" "B9669EE78B3FFB9B8683015D344DCBFEF6FB9AF4C6C470BE254516CD3C1A1FB4" "7362", "00CEE3480D8645A17D249F2776D28BAE616952D1791FDB4B70F7C3378732AA1B" "22928448BCD1DC2496D435B01048066EBE4F72903C361B1A9DC1193DC2C9D089" "1B96", "00CDEA89621CFA46B132F9E4CFE2261CDE2D4368EB5656634C7CC98C7A00CDE5" "4ED1866A0DD3E6126C9D2F845DAFF82CEB1DA08F5D87521BB0EBECA77911169C" "20CC" }, /* Keys and shared secrets from RFC 5903 */ { NID_X9_62_prime256v1, "C88F01F510D9AC3F70A292DAA2316DE544E9AAB8AFE84049C62A9C57862D1433", "C6EF9C5D78AE012A011164ACB397CE2088685D8F06BF9BE0B283AB46476BEE53", "D6840F6B42F6EDAFD13116E0E12565202FEF8E9ECE7DCE03812464D04B9442DE" }, { NID_secp384r1, "099F3C7034D4A2C699884D73A375A67F7624EF7C6B3C0F160647B67414DCE655" "E35B538041E649EE3FAEF896783AB194", "41CB0779B4BDB85D47846725FBEC3C9430FAB46CC8DC5060855CC9BDA0AA2942" "E0308312916B8ED2960E4BD55A7448FC", "11187331C279962D93D604243FD592CB9D0A926F422E47187521287E7156C5C4" "D603135569B9E9D09CF5D4A270F59746" }, { NID_secp521r1, "0037ADE9319A89F4DABDB3EF411AACCCA5123C61ACAB57B5393DCE47608172A0" "95AA85A30FE1C2952C6771D937BA9777F5957B2639BAB072462F68C27A57382D" "4A52", "0145BA99A847AF43793FDD0E872E7CDFA16BE30FDC780F97BCCC3F078380201E" "9C677D600B343757A3BDBF2A3163E4C2F869CCA7458AA4A4EFFC311F5CB15168" "5EB9", "01144C7D79AE6956BC8EDB8E7C787C4521CB086FA64407F97894E5E6B2D79B04" "D1427E73CA4BAA240A34786859810C06B3C715A3A8CC3151F2BEE417996D19F3" "DDEA" }, /* Keys and shared secrets from RFC 7027 */ { NID_brainpoolP256r1, "81DB1EE100150FF2EA338D708271BE38300CB54241D79950F77B063039804F1D", "55E40BC41E37E3E2AD25C3C6654511FFA8474A91A0032087593852D3E7D76BD3", "89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A18BF2B" }, { NID_brainpoolP384r1, "1E20F5E048A5886F1F157C74E91BDE2B98C8B52D58E5003D57053FC4B0BD65D6" "F15EB5D1EE1610DF870795143627D042", "032640BC6003C59260F7250C3DB58CE647F98E1260ACCE4ACDA3DD869F74E01F" "8BA5E0324309DB6A9831497ABAC96670", "0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBCE239BB" "ADF6403715C35D4FB2A5444F575D4F42" }, { NID_brainpoolP512r1, "16302FF0DBBB5A8D733DAB7141C1B45ACBC8715939677F6A56850A38BD87BD59" "B09E80279609FF333EB9D4C061231FB26F92EEB04982A5F1D1764CAD57665422", "230E18E1BCC88A362FA54E4EA3902009292F7F8033624FD471B5D8ACE49D12CF" "ABBC19963DAB8E2F1EBA00BFFB29E4D72D13F2224562F405CB80503666B25429", "A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF3226244B76" "D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1454B21C4CD1F" } }; /* Given private value and NID, create EC_KEY structure */ static EC_KEY *mk_eckey(int nid, const char *str) { int ok = 0; EC_KEY *k = NULL; BIGNUM *priv = NULL; EC_POINT *pub = NULL; const EC_GROUP *grp; k = EC_KEY_new_by_curve_name(nid); if (!k) goto err; if(!BN_hex2bn(&priv, str)) goto err; if (!priv) goto err; if (!EC_KEY_set_private_key(k, priv)) goto err; grp = EC_KEY_get0_group(k); pub = EC_POINT_new(grp); if (!pub) goto err; if (!EC_POINT_mul(grp, pub, priv, NULL, NULL, NULL)) goto err; if (!EC_KEY_set_public_key(k, pub)) goto err; ok = 1; err: BN_clear_free(priv); EC_POINT_free(pub); if (ok) return k; EC_KEY_free(k); return NULL; } /* * Known answer test: compute shared secret and check it matches expected * value. */ static int ecdh_kat(BIO *out, const ecdh_kat_t *kat) { int rv = 0; EC_KEY *key1 = NULL, *key2 = NULL; BIGNUM *bnz = NULL; unsigned char *Ztmp = NULL, *Z = NULL; size_t Ztmplen, Zlen; BIO_puts(out, "Testing ECDH shared secret with "); BIO_puts(out, OBJ_nid2sn(kat->nid)); if(!BN_hex2bn(&bnz, kat->Z)) goto err; key1 = mk_eckey(kat->nid, kat->da); key2 = mk_eckey(kat->nid, kat->db); if (!key1 || !key2) goto err; Ztmplen = (EC_GROUP_get_degree(EC_KEY_get0_group(key1)) + 7) / 8; Zlen = BN_num_bytes(bnz); if (Zlen > Ztmplen) goto err; if((Ztmp = OPENSSL_zalloc(Ztmplen)) == NULL) goto err; if((Z = OPENSSL_zalloc(Ztmplen)) == NULL) goto err; if(!BN_bn2binpad(bnz, Z, Ztmplen)) goto err; if (!ECDH_compute_key(Ztmp, Ztmplen, EC_KEY_get0_public_key(key2), key1, 0)) goto err; if (memcmp(Ztmp, Z, Ztmplen)) goto err; memset(Ztmp, 0, Ztmplen); if (!ECDH_compute_key(Ztmp, Ztmplen, EC_KEY_get0_public_key(key1), key2, 0)) goto err; if (memcmp(Ztmp, Z, Ztmplen)) goto err; rv = 1; err: EC_KEY_free(key1); EC_KEY_free(key2); OPENSSL_free(Ztmp); OPENSSL_free(Z); BN_free(bnz); if (rv) BIO_puts(out, " ok\n"); else { fprintf(stderr, "Error in ECDH routines\n"); ERR_print_errors_fp(stderr); } return rv; } #include "ecdhtest_cavs.h" /* * NIST SP800-56A co-factor ECDH tests. * KATs taken from NIST documents with parameters: * * - (QCAVSx,QCAVSy) is the public key for CAVS. * - dIUT is the private key for IUT. * - (QIUTx,QIUTy) is the public key for IUT. * - ZIUT is the shared secret KAT. * * CAVS: Cryptographic Algorithm Validation System * IUT: Implementation Under Test * * This function tests two things: * * 1. dIUT * G = (QIUTx,QIUTy) * i.e. public key for IUT computes correctly. * 2. x-coord of cofactor * dIUT * (QCAVSx,QCAVSy) = ZIUT * i.e. co-factor ECDH key computes correctly. * * returns zero on failure or unsupported curve. One otherwise. */ static int ecdh_cavs_kat(BIO *out, const ecdh_cavs_kat_t *kat) { int rv = 0, is_char_two = 0; EC_KEY *key1 = NULL; EC_POINT *pub = NULL; const EC_GROUP *group = NULL; BIGNUM *bnz = NULL, *x = NULL, *y = NULL; unsigned char *Ztmp = NULL, *Z = NULL; size_t Ztmplen, Zlen; BIO_puts(out, "Testing ECC CDH Primitive SP800-56A with "); BIO_puts(out, OBJ_nid2sn(kat->nid)); /* dIUT is IUT's private key */ if ((key1 = mk_eckey(kat->nid, kat->dIUT)) == NULL) goto err; /* these are cofactor ECDH KATs */ EC_KEY_set_flags(key1, EC_FLAG_COFACTOR_ECDH); if ((group = EC_KEY_get0_group(key1)) == NULL) goto err; if ((pub = EC_POINT_new(group)) == NULL) goto err; if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_characteristic_two_field) is_char_two = 1; /* (QIUTx, QIUTy) is IUT's public key */ if(!BN_hex2bn(&x, kat->QIUTx)) goto err; if(!BN_hex2bn(&y, kat->QIUTy)) goto err; if (is_char_two) { #ifdef OPENSSL_NO_EC2M goto err; #else if (!EC_POINT_set_affine_coordinates_GF2m(group, pub, x, y, NULL)) goto err; #endif } else { if (!EC_POINT_set_affine_coordinates_GFp(group, pub, x, y, NULL)) goto err; } /* dIUT * G = (QIUTx, QIUTy) should hold */ if (EC_POINT_cmp(group, EC_KEY_get0_public_key(key1), pub, NULL)) goto err; /* (QCAVSx, QCAVSy) is CAVS's public key */ if(!BN_hex2bn(&x, kat->QCAVSx)) goto err; if(!BN_hex2bn(&y, kat->QCAVSy)) goto err; if (is_char_two) { #ifdef OPENSSL_NO_EC2M goto err; #else if (!EC_POINT_set_affine_coordinates_GF2m(group, pub, x, y, NULL)) goto err; #endif } else { if (!EC_POINT_set_affine_coordinates_GFp(group, pub, x, y, NULL)) goto err; } /* ZIUT is the shared secret */ if(!BN_hex2bn(&bnz, kat->ZIUT)) goto err; Ztmplen = (EC_GROUP_get_degree(EC_KEY_get0_group(key1)) + 7) / 8; Zlen = BN_num_bytes(bnz); if (Zlen > Ztmplen) goto err; if((Ztmp = OPENSSL_zalloc(Ztmplen)) == NULL) goto err; if((Z = OPENSSL_zalloc(Ztmplen)) == NULL) goto err; if(!BN_bn2binpad(bnz, Z, Ztmplen)) goto err; if (!ECDH_compute_key(Ztmp, Ztmplen, pub, key1, 0)) goto err; /* shared secrets should be identical */ if (memcmp(Ztmp, Z, Ztmplen)) goto err; rv = 1; err: EC_KEY_free(key1); EC_POINT_free(pub); BN_free(bnz); BN_free(x); BN_free(y); OPENSSL_free(Ztmp); OPENSSL_free(Z); if (rv) { BIO_puts(out, " ok\n"); } else { fprintf(stderr, "Error in ECC CDH routines\n"); ERR_print_errors_fp(stderr); } return rv; } int main(int argc, char *argv[]) { BN_CTX *ctx = NULL; int nid, ret = 1; EC_builtin_curve *curves = NULL; size_t crv_len = 0, n = 0; BIO *out; CRYPTO_set_mem_debug(1); CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); RAND_seed(rnd_seed, sizeof rnd_seed); out = BIO_new(BIO_s_file()); if (out == NULL) EXIT(1); BIO_set_fp(out, stdout, BIO_NOCLOSE | BIO_FP_TEXT); if ((ctx = BN_CTX_new()) == NULL) goto err; /* get a list of all internal curves */ crv_len = EC_get_builtin_curves(NULL, 0); curves = OPENSSL_malloc(sizeof(*curves) * crv_len); if (curves == NULL) goto err; if (!EC_get_builtin_curves(curves, crv_len)) goto err; /* NAMED CURVES TESTS */ for (n = 0; n < crv_len; n++) { nid = curves[n].nid; /* * Skipped for X25519 because affine coordinate operations are not * supported for this curve. * Higher level ECDH tests are performed in evptests.txt instead. */ if (nid == NID_X25519) continue; if (!test_ecdh_curve(nid, ctx, out)) goto err; } /* KATs */ for (n = 0; n < (sizeof(ecdh_kats)/sizeof(ecdh_kat_t)); n++) { if (!ecdh_kat(out, &ecdh_kats[n])) goto err; } /* NIST SP800-56A co-factor ECDH KATs */ for (n = 0; n < (sizeof(ecdh_cavs_kats)/sizeof(ecdh_cavs_kat_t)); n++) { if (!ecdh_cavs_kat(out, &ecdh_cavs_kats[n])) goto err; } ret = 0; err: ERR_print_errors_fp(stderr); OPENSSL_free(curves); BN_CTX_free(ctx); BIO_free(out); #ifndef OPENSSL_NO_CRYPTO_MDEBUG if (CRYPTO_mem_leaks_fp(stderr) <= 0) ret = 1; #endif EXIT(ret); } #endif