/* sakke.c * * Copyright (C) 2006-2022 wolfSSL Inc. * * This file is part of wolfSSL. * * wolfSSL is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * wolfSSL is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA */ #ifdef HAVE_CONFIG_H #include #endif #include #ifdef NO_INLINE #include #else #define WOLFSSL_MISC_INCLUDED #include #endif #ifdef WOLFSSL_HAVE_SP_ECC #include #endif #ifdef WOLFCRYPT_HAVE_SAKKE #include #include #include /* SAKKE Build Options: * WOLFSSL_SAKKE_SMALL: Small code size version of SAKKE. * WOLFSSL_SAKKE_SMALL_MODEXP: Small code size for just SAKKE modexp. */ #ifdef WOLFCRYPT_SAKKE_CLIENT /* * Initialize the client components of the SAKKE key. * * @param [in] key SAKKE key to initialize. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_init_client(SakkeKey* key) { int err = 0; key->tmp.p1 = wc_ecc_new_point_h(key->ecc.heap); if (key->tmp.p1 == NULL) { err = MEMORY_E; } if (err == 0) { key->tmp.p2 = wc_ecc_new_point_h(key->ecc.heap); if (key->tmp.p2 == NULL) { err = MEMORY_E; } } if (err == 0) { key->tmp.p3 = wc_ecc_new_point_h(key->ecc.heap); if (key->tmp.p3 == NULL) { err = MEMORY_E; } } if (err == 0) { key->rsk.rsk = wc_ecc_new_point_h(key->ecc.heap); if (key->rsk.rsk == NULL) { err = MEMORY_E; } } if (err == 0) { key->i.i = wc_ecc_new_point_h(key->ecc.heap); if (key->i.i == NULL) { err = MEMORY_E; } } return err; } #endif /** * Initialize the components of the SAKKE key. * * Must be called before performing any operations. * Free the SAKKE key with wc_FreeSakkeKey() when no longer needed. * * @param [in] key SAKKE key to initialize. * @param [in] keySize Size of the curve. For SAKKE set 1, use 128. * @param [in] curveId ID of curve. For SAKKE set 1, use ECC_SAKKE_1. * @param [in] heap Heap hint. * @param [in] devId Device identifier. * Use INVALID_DEVID when no device used. * @return 0 on success. * @return BAD_FUNC_ARG when key is NULL. * @return MEMORY_E when dynamic memory allocation fails. */ int wc_InitSakkeKey_ex(SakkeKey* key, int keySize, int curveId, void* heap, int devId) { int err = 0; SakkeKeyParams* params = NULL; if (key == NULL) { err = BAD_FUNC_ARG; } if (err == 0) { XMEMSET(key, 0, sizeof(*key)); key->heap = heap; params = &key->params; err = wc_ecc_init_ex(&key->ecc, heap, devId); } if (err == 0) { err = wc_ecc_set_curve(&key->ecc, keySize, curveId); } if (err == 0) { params->base = wc_ecc_new_point_h(key->ecc.heap); if (params->base == NULL) { err = MEMORY_E; } #ifdef WOLFCRYPT_SAKKE_CLIENT if (err == 0) { err = sakke_init_client(key); } #endif if (err == 0) { err = mp_init_multi(¶ms->prime, ¶ms->q, ¶ms->g, ¶ms->a, &key->tmp.m1, #ifdef WOLFCRYPT_SAKKE_CLIENT &key->tmp.m2 #else NULL #endif ); } if (err == 0) { key->mpInit = 1; } if (err != 0) { wc_FreeSakkeKey(key); } } return err; } /** * Initialize the components of the SAKKE key. * * Must be called before performing any operations. * Free the SAKKE key with wc_FreeSakkeKey() when no longer needed. * * @param [in] key SAKKE key to initialize. * @param [in] heap Heap hint. * @param [in] devId Device identifier. * Use INVALID_DEVID when no device used. * @return 0 on success. * @return BAD_FUNC_ARG when key is NULL. * @return MEMORY_E when dynamic memory allocation fails. */ int wc_InitSakkeKey(SakkeKey* key, void* heap, int devId) { return wc_InitSakkeKey_ex(key, 128, ECC_SAKKE_1, heap, devId); } /** * Frees memory associated with components of the SAKKE key. * * Must be called when finished with the SAKKE key. * * @param [in] key SAKKE key. */ void wc_FreeSakkeKey(SakkeKey* key) { if (key != NULL) { SakkeKeyParams* params = &key->params; if (key->mpInit) { mp_free(¶ms->prime); mp_free(¶ms->q); mp_free(¶ms->g); mp_free(¶ms->a); mp_free(&key->tmp.m1); #ifdef WOLFCRYPT_SAKKE_CLIENT mp_free(&key->tmp.m2); #endif } #ifdef WOLFCRYPT_SAKKE_CLIENT if (key->i.i != NULL) { wc_ecc_del_point_h(key->i.i, key->ecc.heap); } if (key->rsk.rsk != NULL) { wc_ecc_del_point_h(key->rsk.rsk, key->ecc.heap); } if (key->tmp.p3 != NULL) { wc_ecc_del_point_h(key->tmp.p3, key->ecc.heap); } if (key->tmp.p2 != NULL) { wc_ecc_del_point_h(key->tmp.p2, key->ecc.heap); } if (key->tmp.p1 != NULL) { wc_ecc_del_point_h(key->tmp.p1, key->ecc.heap); } #endif if (params->base != NULL) { wc_ecc_del_point_h(params->base, key->ecc.heap); } wc_ecc_free(&key->ecc); } } /* * Load order (q), prime (p) and a, hex strings in ECC object, into fields of * key. * * Flags that the p, q and a are available so it isn't loaded multiple times. * * @param [in] key SAKKE key. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_load_params(SakkeKey* key) { int err = 0; SakkeKeyParams* params = &key->params; if (!params->havePrime) { /* Load prime or modulus from string. */ err = mp_read_radix(¶ms->prime, key->ecc.dp->prime, MP_RADIX_HEX); if (err == 0) { params->havePrime = 1; } } if (!params->haveQ) { /* Load order from string. */ err = mp_read_radix(¶ms->q, key->ecc.dp->order, MP_RADIX_HEX); if (err == 0) { params->haveQ = 1; } } if (!params->haveA) { /* Load parameter A from string. */ err = mp_read_radix(¶ms->a, key->ecc.dp->Af, MP_RADIX_HEX); if (err == 0) { params->haveA = 1; } } return err; } /* * Load the base point, hex encoded in the ECC object, as an ecc_point. * * @param [in] key SAKKE key. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_load_base_point(SakkeKey* key) { int err = 0; SakkeKeyParams* params = &key->params; if (!params->haveBase) { /* Load base point modulus from string. */ err = mp_read_radix(params->base->x, key->ecc.dp->Gx, MP_RADIX_HEX); if (err == 0) { err = mp_read_radix(params->base->y, key->ecc.dp->Gy, MP_RADIX_HEX); } if (err == 0) { /* Affine co-ordinates have a Z of 1 in Jacobian. */ err = mp_set(params->base->z, 1); } if (err == 0) { /* Base point loaded. */ params->haveBase = 1; } } return err; } #ifdef WOLFSSL_HAVE_SP_ECC /* * Scalar multiply the base point. * * @param [in] key SAKKE key. * @param [in] n MP integer that is the scalar. * @param [out] res ECC point to hold the result. * @param [in] map Map the result to affine co-ordinates. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_mulmod_base(SakkeKey* key, const mp_int* n, ecc_point* res, int map) { int err = NOT_COMPILED_IN; #ifdef WOLFSSL_SP_1024 if ((key->ecc.idx != ECC_CUSTOM_IDX) && (ecc_sets[key->ecc.idx].id == ECC_SAKKE_1)) { err = sp_ecc_mulmod_base_1024(n, res, map, key->heap); } #endif return err; } /* * Scalar multiply the base point and add a point. * * @param [in] key SAKKE key. * @param [in] n MP integer that is the scalar. * @param [in] a ECC point to add. * @param [out] res ECC point to hold the result. * @param [in] map Map the result to affine co-ordinates. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_mulmod_base_add(SakkeKey* key, const mp_int* n, const ecc_point* a, ecc_point* res, int map) { int err = NOT_COMPILED_IN; #ifdef WOLFSSL_SP_1024 if ((key->ecc.idx != ECC_CUSTOM_IDX) && (ecc_sets[key->ecc.idx].id == ECC_SAKKE_1)) { err = sp_ecc_mulmod_base_add_1024(n, a, 0, res, map, key->heap); } #endif return err; } #else /* * Scalar multiply the base point. * * @param [in] key SAKKE key. * @param [in] n MP integer that is the scalar. * @param [out] res ECC point to hold the result. * @param [in] map Map the result to affine co-ordinates. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_mulmod_base(SakkeKey* key, const mp_int* n, ecc_point* res, int map) { int err; SakkeKeyParams* params = &key->params; err = wc_ecc_mulmod(n, params->base, res, ¶ms->a, ¶ms->prime, map); return err; } /* * Scalar multiply the base point and add a point. * * @param [in] key SAKKE key. * @param [in] n MP integer that is the scalar. * @param [in] a ECC point to add. Point ordinates must be in Montgomery * form. * @param [out] res ECC point to hold the result. * @param [in] map Map the result to affine co-ordinates. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_mulmod_base_add(SakkeKey* key, const mp_int* n, ecc_point* a, ecc_point* res, int map) { int err; mp_digit mp = 0; SakkeKeyParams* params = &key->params; /* Scalar multiply base by n - leaves ordinates in Montgomery form. */ err = wc_ecc_mulmod(n, params->base, res, ¶ms->a, ¶ms->prime, 0); if (err == 0) { err = mp_montgomery_setup(¶ms->prime, &mp); } if (err == 0) { /* Add a to result. */ err = ecc_projective_add_point(res, a, res, ¶ms->a, ¶ms->prime, mp); } if ((err == 0) && map) { /* Map result back to affine co-ordinates. */ err = ecc_map(res, ¶ms->prime, mp); } return err; } #endif #ifdef WOLFSSL_HAVE_SP_ECC /* * Scalar multiply a point. * * @param [in] key SAKKE key. * @param [in] n MP integer that is the scalar. * @param [in] p ECC point to multiply. * @param [in] table Precomputation table for p. May be NULL. * @param [out] res ECC point to hold the result. * @param [in] map Map the result to affine co-ordinates. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_mulmod_point(SakkeKey* key, const mp_int* n, const ecc_point* p, byte* table, ecc_point* res, int map) { int err = NOT_COMPILED_IN; #ifdef WOLFSSL_SP_1024 if ((key->ecc.idx != ECC_CUSTOM_IDX) && (ecc_sets[key->ecc.idx].id == ECC_SAKKE_1)) { if (table == NULL) { err = sp_ecc_mulmod_1024(n, p, res, map, key->heap); } else { err = sp_ecc_mulmod_table_1024(n, p, table, res, map, key->heap); } } #endif return err; } #else /* * Scalar multiply a point. * * @param [in] key SAKKE key. * @param [in] n MP integer that is the scalar. * @param [in] p ECC point to multiply. * @param [in] table Precomputation table for p. May be NULL. * @param [out] res ECC point to hold the result. * @param [in] map Map the result to affine co-ordinates. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. */ static int sakke_mulmod_point(SakkeKey* key, const mp_int* n, ecc_point* p, const byte* table, ecc_point* res, int map) { int err; SakkeKeyParams* params = &key->params; err = wc_ecc_mulmod(n, p, res, ¶ms->a, ¶ms->prime, map); (void)table; return err; } #endif #ifdef WOLFCRYPT_SAKKE_KMS /** * Generate KMS Master Secret (z_T) and KMS Public Key (Z_T). * * RFC 6508, Section 4.1 * * Called when establishing a new KMS.\n * z_T must be kept secret while Z_T is required by clients for encapsulating * and deriving. * Export key using wc_ExportSakkeKey(), once generated, to reuse the key.\n * Export KPAK using wc_ExportSakkePublicKey(), once generate to send to * clients. * * @param [in] key SAKKE key. * @param [in] rng Random number generator. * @return 0 on success. * @return BAD_FUNC_ARG when key or rng is NULL. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. * @return Other value when an an internal operation fails. */ int wc_MakeSakkeKey(SakkeKey* key, WC_RNG* rng) { int err = 0; int digits = 0; if ((key == NULL) || (rng == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { digits = (key->ecc.dp->size * 8 + DIGIT_BIT - 1) / DIGIT_BIT; err = sakke_load_params(key); } if (err == 0) { err = sakke_load_base_point(key); } if (err == 0) { int genTryCnt = 0; /* Generate a random number that is not 0 - master secret. */ do { /* Don't infinitely loop on random number generation failure. */ if ((++genTryCnt) > SAKKE_MAX_GEN_COUNT) { err = RNG_FAILURE_E; } if (err == 0) { err = mp_rand(&key->ecc.k, digits, rng); } if (err == 0) { err = mp_mod(&key->ecc.k, &key->params.q, &key->ecc.k); } } while ((err == 0) && mp_iszero(&key->ecc.k)); } if (err == 0) { /* Calculate public key by multiply master secret by base point. */ err = sakke_mulmod_base(key, &key->ecc.k, &key->ecc.pubkey, 1); } if (err == 0) { key->ecc.type = ECC_PRIVATEKEY; } return err; } /** * Generates the KMS Public Key (Z_T) from the KMS Master Secret (z_T). * * Only z_T is required to calculate Receiver Secret Key (RSK). * * @param [in] key SAKKE key. * @param [out] pub ECC point containing KPAK. * @return 0 on success. * @return BAD_FUNC_ARG when key or pub is NULL. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. * @return Other value when an an internal operation fails. */ int wc_MakeSakkePublicKey(SakkeKey* key, ecc_point* pub) { int err = 0; if ((key == NULL) || (pub == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { err = sakke_load_params(key); } if (err == 0) { err = sakke_load_base_point(key); } if (err == 0) { err = sakke_mulmod_base(key, &key->ecc.k, pub, 1); } return err; } /** * Export the SAKKE key as encoded public/private ECC key. * * Use when saving the KMS key pair. * * Private key, x ordinate of public key and y ordinate of public key * concatenated. Each number is zero padded to key size. * * @param [in] key SAKKE key. * @param [out] data Buffer to hold encoded SAKKE key. * @param [in,out] sz In, size of buffer in bytes. * Out, size of encoded SAKKE key in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or sz is NULL. * @return LENGTH_ONLY_E when data is NULL - sz is set. * @return BUFFER_E when size of buffer is too small. */ int wc_ExportSakkeKey(SakkeKey* key, byte* data, word32* sz) { int err = 0; if ((key == NULL) || (sz == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (data == NULL)) { *sz = 3 * key->ecc.dp->size; err = LENGTH_ONLY_E; } if ((err >= 0) && (*sz < (word32)(3 * key->ecc.dp->size))) { err = BUFFER_E; } if (err == 0) { /* Write out the secret value into key size bytes. */ err = mp_to_unsigned_bin_len(&key->ecc.k, data, key->ecc.dp->size); } if (err == 0) { data += key->ecc.dp->size; /* Write out the public key point's x ordinate into key size bytes. */ err = mp_to_unsigned_bin_len(key->ecc.pubkey.x, data, key->ecc.dp->size); } if (err == 0) { data += key->ecc.dp->size; /* Write out the public key point's y ordinate into key size bytes. */ err = mp_to_unsigned_bin_len(key->ecc.pubkey.y, data, key->ecc.dp->size); } if (err == 0) { *sz = 3 * key->ecc.dp->size; } return err; } /** * Import the SAKKE key as DER encoded public/private ECC key. * * Use when restoring the KMS key pair. * * Private key, x ordinate of public key and y ordinate of public key * concatenated. Each number is zero padded to key size. * * @param [in] key SAKKE key. * @param [in] data Buffer holding encoded SAKKE key. * @param [in] sz Size of encoded SAKKE key in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or data is NULL. * @return BUFFER_E when size of data is not equal to the expected size. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. */ int wc_ImportSakkeKey(SakkeKey* key, const byte* data, word32 sz) { int err = 0; if ((key == NULL) || (data == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (sz != (word32)key->ecc.dp->size * 3)) { err = BUFFER_E; } if (err == 0) { /* Read the secret value from key size bytes. */ err = mp_read_unsigned_bin(&key->ecc.k, data, key->ecc.dp->size); } if (err == 0) { data += key->ecc.dp->size; /* Read the public key point's x value from key size bytes. */ err = mp_read_unsigned_bin(key->ecc.pubkey.x, data, key->ecc.dp->size); } if (err == 0) { data += key->ecc.dp->size; /* Read the public key point's y value from key size bytes. */ err = mp_read_unsigned_bin(key->ecc.pubkey.y, data, key->ecc.dp->size); } if (err == 0) { err = mp_set(key->ecc.pubkey.z, 1); } if (err == 0) { key->ecc.type = ECC_PRIVATEKEY; } return err; } /** * Export the SAKKE key as DER encoded private ECC key. * * Use when saving the KMS private key. * * Private key zero padded to key size. * * @param [in] key SAKKE key. * @param [out] data Buffer to hold encoded SAKKE key. * @param [in,out] sz In, size of buffer in bytes. * Out, size of encoded SAKKE key in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or sz is NULL. * @return LENGTH_ONLY_E when data is NULL - sz is set. * @return BUFFER_E when size of buffer is too small. */ int wc_ExportSakkePrivateKey(SakkeKey* key, byte* data, word32* sz) { int err = 0; if ((key == NULL) || (sz == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (data == NULL)) { *sz = key->ecc.dp->size; err = LENGTH_ONLY_E; } if ((err >= 0) && (*sz < (word32)key->ecc.dp->size)) { err = BUFFER_E; } if (err == 0) { /* Write out the secret value into key size bytes. */ err = mp_to_unsigned_bin_len(&key->ecc.k, data, key->ecc.dp->size); } if (err == 0) { *sz = key->ecc.dp->size; } return err; } /** * Import the SAKKE key as DER encoded private ECC key. * * Use when restoring the KMS private key. * Use wc_MakeSakkePublicKey() to recalculate the public key. * * Private key zero padded to key size. * * @param [in] key SAKKE key. * @param [in] data Buffer holding encoded SAKKE key. * @param [in] sz Size of encoded SAKKE key in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or data is NULL. * @return BUFFER_E when size of data is not equal to the expected size. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. */ int wc_ImportSakkePrivateKey(SakkeKey* key, const byte* data, word32 sz) { int err = 0; if ((key == NULL) || (data == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (sz != (word32)key->ecc.dp->size)) { err = BUFFER_E; } if (err == 0) { /* Read the secret value from key size bytes. */ err = mp_read_unsigned_bin(&key->ecc.k, data, key->ecc.dp->size); } return err; } /* * Convert the public key from montgomery form. * * The public key is needed in Montgomery form for validation and derivation. * * @param [in] key SAKKE key. * @return 0 on success. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. * @return Other value when an an internal operation fails. */ static int sakke_z_from_mont(SakkeKey* key) { int err = 0; mp_digit mp; ecc_point* z = &key->ecc.pubkey; mp_int* prime = &key->params.prime; if (key->zMont) { err = mp_montgomery_setup(prime, &mp); if (err == 0) { err = mp_montgomery_reduce(z->x, prime, mp); } if (err == 0) { err = mp_montgomery_reduce(z->y, prime, mp); } if (err == 0) { err = mp_montgomery_reduce(z->z, prime, mp); } if (err == 0) { key->zMont = 0; } } return err; } /* * Encode a point into a buffer. * * X and y ordinate of point concatenated. Each number is zero padded tosize. * Descriptor byte (0x04) is prepended when not raw. * * @param [in] point ECC point to encode. * @param [in] size Size of prime in bytes - maximum ordinate length. * @param [out] data Buffer to hold encoded data. * NULL when needing length of encoded data. * @param [in,out] sz In, the size of the buffer in bytes. * Out, the size of the encoded data in bytes. * @param [in] raw On 0, prepend descriptor byte. * On 1, only include ordinates. * @return 0 on success. * @return BAD_FUNC_ARG when key or sz is NULL. * @return LENGTH_ONLY_E when data is NULL - sz will hold the size in bytes of * the encoded data. * @return BUFFER_E when size of buffer is too small. */ static int sakke_encode_point(ecc_point* point, word32 size, byte* data, word32* sz, int raw) { int err = 0; if (data == NULL) { *sz = size * 2 + !raw; err = LENGTH_ONLY_E; } if ((err == 0) && (*sz < size * 2 + !raw)) { err = BUFFER_E; } if (err == 0) { if (!raw) { data[0] = 0x04; data++; } /* Write out the point's x ordinate into key size bytes. */ err = mp_to_unsigned_bin_len(point->x, data, size); } if (err == 0) { data += size; /* Write out the point's y ordinate into key size bytes. */ err = mp_to_unsigned_bin_len(point->y, data, size); } if (err == 0) { *sz = size * 2 + !raw; } return err; } /* * Decode the data into an ECC point. * * X and y ordinate of point concatenated. Each number is zero padded to * key size. Supports prepended descriptor byte (0x04). * * @param [out] point ECC point to encode. * @param [in] size Size of prime in bytes - maximum ordinate length. * @param [in] data Encoded public key. * @param [in] sz Size of the encoded public key in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or z is NULL. * @return BUFFER_E when size of data is not equal to the expected size. * @return ASN_PARSE_E when format byte is invalid. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. */ static int sakke_decode_point(ecc_point* point, word32 size, const byte* data, word32 sz) { int err = 0; if ((sz != size * 2) && (sz != size * 2 + 1)) { err = BUFFER_E; } if ((err == 0) && (sz & 1)) { if (data[0] != 0x04) { err = ASN_PARSE_E; } data++; } if (err == 0) { /* Read the public key point's x value from key size bytes. */ err = mp_read_unsigned_bin(point->x, data, size); } if (err == 0) { data += size; /* Read the public key point's y value from key size bytes. */ err = mp_read_unsigned_bin(point->y, data, size); } if (err == 0) { err = mp_set(point->z, 1); } return err; } /** * Encode the KMS public key (Z_T) into a buffer. * * Z_T is required by all clients in order to perform cryptographic operations. * * X and y ordinate of public key concatenated. Each number is zero padded to * key size. * Descriptor byte (0x04) is prepended when not raw. * * @param [in] key SAKKE key. * @param [out] data Buffer to hold encoded data. * NULL when needing length of encoded data. * @param [in,out] sz In, the size of the buffer in bytes. * Out, the size of the encoded data in bytes. * @param [in] raw On 0, prepend descriptor byte. * On 1, only include ordinates. * @return 0 on success. * @return BAD_FUNC_ARG when key or sz is NULL. * @return LENGTH_ONLY_E when data is NULL - sz will hold the size in bytes of * the encoded data. * @return BUFFER_E when size of buffer is too small. */ int wc_ExportSakkePublicKey(SakkeKey* key, byte* data, word32* sz, int raw) { int err = 0; if ((key == NULL) || (sz == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (data != NULL)) { err = sakke_z_from_mont(key); } if (err == 0) { err = sakke_encode_point(&key->ecc.pubkey, (word32)key->ecc.dp->size, data, sz, raw); } return err; } /** * Calculates the Receiver Secret Key (RSK) for the identity. * * RFC 6508, Section 6.1.1 * * RSK = [ (a + z_T) ^ 1 modulo q ]P\n * RSK is required by receiver to derive SSV. * * @param [in] key SAKKE key. * @param [in] id Identity to create hash for. * @param [in] idSz Length of identity in bytes. * @param [out] rsk Receiver Secret Key as an ECC point. * @return 0 on success. * @return BAD_FUNC_ARG when key, id, or rsk is NULL. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. * @return Other value when an an internal operation fails. */ int wc_MakeSakkeRsk(SakkeKey* key, const byte* id, word16 idSz, ecc_point* rsk) { int err = 0; mp_int* a = NULL; if ((key == NULL) || (id == NULL) || (rsk == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { err = sakke_load_params(key); } if (err == 0) { err = sakke_load_base_point(key); } /* Compute RSK = [ (a + z_T) ^ 1 modulo q ]P */ if (err == 0) { a = &key->tmp.m1; err = mp_read_unsigned_bin(a, id, idSz); } /* a + z_T */ if (err == 0) { err = mp_addmod(a, &key->ecc.k, &key->params.q, a); } /* (a + z_T) ^ 1 modulo q */ if (err == 0) { err = mp_invmod(a, &key->params.q, a); } /* [ (a + z_T) ^ 1 modulo q ]P */ if (err == 0) { err = sakke_mulmod_base(key, a, rsk, 1); } return err; } /** * Encode the SAKKE Receiver Secret Key (RSK) as DER encoded public ECC key. * * Encode the RSK to send to ther receiving client. * * X and y ordinate of RSK point concatenated. Each number is zero padded to * key size. * Descriptor byte (0x04) is prepended when not raw. * * @param [in] key SAKKE key. * @param [in] rsk ECC point that is the Receiver Secret Key (RSK). * @param [out] out Buffer to hold encoded RSK. * @param [in,out] sz In, size of buffer in bytes. * Out, size of encoded RSK in bytes. * @param [in] raw On 0, prepend descriptor byte. * On 1, only include ordinates. * @return 0 on success. * @return BAD_FUNC_ARG when key, rsk, or sz is NULL. * @return LENGTH_ONLY_E when data is NULL - sz will hold the size in bytes of * the encoded data. * @return BUFFER_E when size of buffer is too small. */ int wc_EncodeSakkeRsk(const SakkeKey* key, ecc_point* rsk, byte* out, word32* sz, int raw) { int err = 0; if ((key == NULL) || (rsk == NULL) || (sz == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { err = sakke_encode_point(rsk, (word32)key->ecc.dp->size, out, sz, raw); } return err; } #endif /* WOLFCRYPT_SAKKE_KMS */ #ifdef WOLFCRYPT_SAKKE_CLIENT /** * Decode the KMS public key (Z_T) into the key. * * A client imports Z_T to perform derivation of SSV. * * X and y ordinate of public key concatenated. Each number is zero padded to * key size. Supports prepended descriptor byte (0x04). * * @param [in] key SAKKE key. * @param [in] data Encoded public key. * @param [in] sz Size of the encoded public key in bytes. * @param [in] trusted 1 when public key is trusted. * 0 when validation is required to be performed. * @return 0 on success. * @return BAD_FUNC_ARG when key or z is NULL. * @return BUFFER_E when size of data is not equal to the expected size. * @return ASN_PARSE_E when format byte is invalid. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. * @return ECC_OUT_OF_RANGE_E when point is invalid. * @return ECC_INF_E when point is at infinity and invalid. */ int wc_ImportSakkePublicKey(SakkeKey* key, const byte* data, word32 sz, int trusted) { int err = 0; if ((key == NULL) || (data == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { err = sakke_decode_point(&key->ecc.pubkey, (word32)key->ecc.dp->size, data, sz); } if (err == 0) { key->ecc.type = ECC_PUBLICKEY; key->zMont = 0; } if ((err == 0) && (!trusted)) { err = wc_ecc_check_key(&key->ecc); } return err; } /** * Decode the SAKKE Receiver Secret Key (RSK) as DER encoded public ECC key. * * A receiving client needs the RSK for deriving SSV. * * X and y ordinate of RSK point concatenated. Each number is zero padded to * key size. Supports prepended descriptor byte (0x04). * * @param [in] key SAKKE key. * @param [in] data Buffer holding encoded SAKKE key. * @param [in] sz Size of encoded RSK in bytes. * @param [out] rsk ECC point to hold the Receiver Secret Key (RSK). * @return 0 on success. * @return BAD_FUNC_ARG when key, data or rsk is NULL. * @return BUFFER_E when size of data is not equal to the expected size. * @return ASN_PARSE_E when format byte is invalid. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. */ int wc_DecodeSakkeRsk(const SakkeKey* key, const byte* data, word32 sz, ecc_point* rsk) { int err = 0; if ((key == NULL) || (data == NULL) || (rsk == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { err = sakke_decode_point(rsk, (word32)key->ecc.dp->size, data, sz); } return err; } /** * Decode the SAKKE Receiver Secret Key (RSK) as DER encoded public ECC key and * stores internally. * * A receiving client needs the RSK for deriving SSV. * * X and y ordinate of RSK point concatenated. Each number is zero padded to * key size. Supports prepended descriptor byte (0x04). * * @param [in] key SAKKE key. * @param [in] data Buffer holding encoded SAKKE key. * @param [in] sz Size of encoded RSK in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or data is NULL. * @return BUFFER_E when size of data is not equal to the expected size. * @return MP_MEM or MEMORY_E when dynamic memory allocation fails. */ int wc_ImportSakkeRsk(SakkeKey* key, const byte* data, word32 sz) { int err = 0; if ((key == NULL) || (data == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { err = wc_DecodeSakkeRsk(key, data, sz, key->rsk.rsk); } return err; } /* Base (g) for SAKKE parameter set 1. */ static const byte sakke_param_set_1_base[] = { 0x66, 0xFC, 0x2A, 0x43, 0x2B, 0x6E, 0xA3, 0x92, 0x14, 0x8F, 0x15, 0x86, 0x7D, 0x62, 0x30, 0x68, 0xC6, 0xA8, 0x7B, 0xD1, 0xFB, 0x94, 0xC4, 0x1E, 0x27, 0xFA, 0xBE, 0x65, 0x8E, 0x01, 0x5A, 0x87, 0x37, 0x1E, 0x94, 0x74, 0x4C, 0x96, 0xFE, 0xDA, 0x44, 0x9A, 0xE9, 0x56, 0x3F, 0x8B, 0xC4, 0x46, 0xCB, 0xFD, 0xA8, 0x5D, 0x5D, 0x00, 0xEF, 0x57, 0x70, 0x72, 0xDA, 0x8F, 0x54, 0x17, 0x21, 0xBE, 0xEE, 0x0F, 0xAE, 0xD1, 0x82, 0x8E, 0xAB, 0x90, 0xB9, 0x9D, 0xFB, 0x01, 0x38, 0xC7, 0x84, 0x33, 0x55, 0xDF, 0x04, 0x60, 0xB4, 0xA9, 0xFD, 0x74, 0xB4, 0xF1, 0xA3, 0x2B, 0xCA, 0xFA, 0x1F, 0xFA, 0xD6, 0x82, 0xC0, 0x33, 0xA7, 0x94, 0x2B, 0xCC, 0xE3, 0x72, 0x0F, 0x20, 0xB9, 0xB7, 0xB0, 0x40, 0x3C, 0x8C, 0xAE, 0x87, 0xB7, 0xA0, 0x04, 0x2A, 0xCD, 0xE0, 0xFA, 0xB3, 0x64, 0x61, 0xEA, 0x46 }; /* * Load Pairing Base (g), hex strings in ECC object, into field of key. * * Flags that the g is available so it isn't loaded multiple times. * * @param [in] key SAKKE key. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_load_pairing_base(SakkeKey* key) { int err = 0; SakkeKeyParams* params = &key->params; if (!params->haveG) { if (key->ecc.dp->id != ECC_SAKKE_1) { err = NOT_COMPILED_IN; } if (err == 0) { err = mp_read_unsigned_bin(¶ms->g, sakke_param_set_1_base, sizeof(sakke_param_set_1_base)); if (err == 0) { params->haveG = 1; } } } return err; } #ifndef WOLFSSL_HAVE_SP_ECC /* * Put point into Montgomery form. * * @param [in] p ECC point. * @param [in] prime Prime modulus. * @param [in] mu Temporary MP integer to hold mu. * @param [in] set 1 when mu is set and 0 when it needs to be calculated. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_point_to_mont(ecc_point* p, mp_int* prime, mp_int* mu, int set) { int err = 0; if (!set) { /* Calculate multiplier that converts to Montgomery form. */ err = mp_montgomery_calc_normalization(mu, prime); } if (err == 0) { err = mp_mulmod(p->x, mu, prime, p->x); } if (err == 0) { err = mp_mulmod(p->y, mu, prime, p->y); } if (err == 0) { err = mp_mulmod(p->z, mu, prime, p->z); } return err; } /* * Take point out of Montgomery form. * * @param [in] p ECC point. * @param [in] prime Prime modulus. * @param [in] mp Multiplier to use when converting from Montgomery form. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_point_from_mont(ecc_point* p, mp_int* prime, mp_digit mp) { int err; err = mp_montgomery_reduce(p->x, prime, mp); if (err == 0) { err = mp_montgomery_reduce(p->y, prime, mp); } if (err == 0) { err = mp_montgomery_reduce(p->z, prime, mp); } return err; } /* * Put Z into Montgomery form. * * @param [in] key SAKKE key. * @param [in] mu Temporary MP integer. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_z_to_mont(SakkeKey* key, mp_int* tmp) { int err = 0; ecc_point* z = &key->ecc.pubkey; if (!key->zMont) { err = sakke_point_to_mont(z, &key->params.prime, tmp, 0); if (err == 0) { key->zMont = 1; } } return err; } #endif #ifdef WOLFSSL_HAVE_SP_ECC /** * Generate a pre-computation table for the RSK point. * * The table contains sensitive data. * * @param [in] key SAKKE key. * @param [in] rsk Point to generate table for. * @param [out] table Pre-generated values. Passing NULL indicates that * the length of the table is required. * @param [in,out] len On in, the size of table buffer in bytes. * On out, the size of the pre-generated data in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key, rsk or len is NULL. * @return LENGTH_ONLY_E when table is NULL. * @return BAD_LENGTH_E when table is specified and len is too small. * @return MEMORY_E when dynamic memory allocation fails. */ int wc_GenerateSakkeRskTable(const SakkeKey* key, const ecc_point* rsk, byte* table, word32* len) { int err = 0; if ((key == NULL) || (rsk == NULL) || (len == 0)) { err = BAD_FUNC_ARG; } if (err == 0) { SAVE_VECTOR_REGISTERS(return _svr_ret;); #ifdef WOLFSSL_SP_1024 err = sp_Pairing_gen_precomp_1024(rsk, table, len); #else err = NOT_COMPILED_IN; #endif RESTORE_VECTOR_REGISTERS(); } return err; } /* * Calculate r = pairing . * * That is, multiply base in PF_p[q] by the scalar s, such that s.P = Q. * * @param [in] key SAKKE key. * @param [in] p First point on E(F_p)[q]. * @param [in] q Second point on E(F_p)[q]. * @param [out] r Result of calculation. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_pairing(const SakkeKey* key, const ecc_point* p, const ecc_point* q, mp_int* r, const byte* table, word32 len) { int err = NOT_COMPILED_IN; #ifdef WOLFSSL_SP_1024 if ((key->ecc.idx != ECC_CUSTOM_IDX) && (ecc_sets[key->ecc.idx].id == ECC_SAKKE_1)) { if (table == NULL) { err = sp_Pairing_1024(p, q, r); } else { err = sp_Pairing_precomp_1024(p, q, r, table, len); } } #else (void)key; (void)p; (void)q; (void)r; (void)table; (void)len; #endif return err; } #else /* WOLFSSL_HAVE_SP_ECC */ /** * Generate a pre-computation table for the RSK point. * * Empty table as not supported in this implementation. * * @param [in] key SAKKE key. * @param [in] rsk Point to generate table for. * @param [out] table Pre-generated values. Passing NULL indicates that * the length of the table is required. * @param [in,out] len On in, the size of table buffer in bytes. * On out, the size of the pre-generated data in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key, rsk or len is NULL. * @return LENGTH_ONLY_E when table is NULL. * @return BAD_LENGTH_E when table is specified and len is too small. * @return MEMORY_E when dynamic memory allocation fails. */ int wc_GenerateSakkeRskTable(const SakkeKey* key, const ecc_point* rsk, byte* table, word32* len) { int err = 0; if ((key == NULL) || (rsk == NULL) || (len == 0)) { err = BAD_FUNC_ARG; } if ((err == 0) && (table == NULL)) { *len = 0; err = LENGTH_ONLY_E; } if ((err == 0) && (*len != 0)) { err = BUFFER_E; } if (err == 0) { *len = 0; } (void)table; return err; } /* * Square a modulo m in Montgomery. * * @param [in] a MP integer that is number to square. * @param [in] m MP integer that is modulus. * @param [out] r MP integer that is the result. * @param [in] mp Multiplier to use when converting from Montgomery form. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_mont_sqrmod(mp_int* a, mp_int* m, mp_int* r, mp_digit mp) { int err; err = mp_sqr(a, r); if (err == 0) { err = mp_montgomery_reduce(r, m, mp); } return err; } /* * Multiply a by b modulo m in Montgomery. * * @param [in] a MP integer that is first number to multiply. * @param [in] b MP integer that is second number to multiply. * @param [in] m MP integer that is modulus. * @param [out] r MP integer that is the result. * @param [in] mp Multiplier to use when converting from Montgomery form. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_mont_mulmod(mp_int* a, mp_int* b, mp_int* m, mp_int* r, mp_digit mp) { int err; err = mp_mul(a, b, r); if (err == 0) { err = mp_montgomery_reduce(r, m, mp); } return err; } /* * Add a and b modulo m. r = a + b % m * * @param [in] a MP integer that is first number to add. * @param [in] b MP integer that is second number to add. * @param [out] m MP integer that is modulus. * @param [in] r MP integer that is the result. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_addmod(mp_int* a, mp_int* b, mp_int* m, mp_int* r) { int err; err = mp_add(a, b, r); if ((err == 0) && (mp_cmp(r, m) != MP_LT)) { err = mp_sub(r, m, r); } return err; } /* * Triple a modulo m. r = 3.a % m * * @param [in] a MP integer that is number to triple * @param [out] m MP integer that is modulus. * @param [in] r MP integer that is the result. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_tplmod(mp_int* a, mp_int* m, mp_int* r) { int err; err = mp_mul_d(a, 3, r); if ((err == 0) && (mp_cmp(r, m) != MP_LT)) { err = mp_sub(r, m, r); } if ((err == 0) && (mp_cmp(r, m) != MP_LT)) { err = mp_sub(r, m, r); } if ((err == 0) && (mp_cmp(r, m) != MP_LT)) { err = mp_sub(r, m, r); } return err; } /* * Subtract b from a modulo m. r = a - b % m * * @param [in] a MP integer that is first number to add. * @param [in] b MP integer that is second number to add. * @param [in] m MP integer that is modulus. * @param [out] r MP integer that is the result. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_submod(mp_int* a, mp_int* b, mp_int* m, mp_int* r) { int err; #if !defined(WOLFSSL_SP_MATH_ALL) || defined(WOLFSSL_SP_INT_NEGATIVE) err = mp_sub(a, b, r); if ((err == 0) && mp_isneg(r)) { err = mp_add(r, m, r); } #else err = sp_submod_ct(a, b, m, r); #endif return err; } /* * Square the element of PF_p[q] (projectivization of F_p with order q). * * Calculation: * r.x = (p.x + p.y) * (p.x - p.y) * r.y = (p.x * p.y) * 2 * * @param [in] p MP projective integer - value to square. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] r MP projective integer - Result of square. * @param [in] t1 MP integer temporary. * @param [in] t2 MP integer temporary. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_proj_sqr(mp_proj* p, mp_int* prime, mp_digit mp, mp_proj* r, mp_int* t1, mp_int* t2) { int err; /* t1 = p.x + p.y */ err = sakke_addmod(p->x, p->y, prime, t1); /* t2 = p.x - p.y */ if (err == 0) { err = sakke_submod(p->x, p->y, prime, t2); } /* r.y = p.x * p.y */ if (err == 0) { err = sakke_mont_mulmod(p->x, p->y, prime, r->y, mp); } /* r.x = (p.x + p.y) * (p.x - p.y) */ if (err == 0) { err = sakke_mont_mulmod(t1, t2, prime, r->x, mp); } /* r.y = (p.x * p.y) * 2 */ if (err == 0) { err = sakke_addmod(r->y, r->y, prime, r->y); } return err; } /* * Multiply two elements of PF_p[q] (projectivization of F_p with order q). * * q must not be the same object as r. * Calculation: * r.x = (p.x * q.x) - (p.y * q.y) * r.y = (p.x * q.y) + (p.y * q.x) * * @param [in] p MP projective integer - first value to multiply. * @param [in] q MP projective integer - second value to multiply. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] r Result of operation. * @param [in] t1 MP integer temporary. * @param [in] t2 MP integer temporary. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_proj_mul(mp_proj* p, mp_proj* q, mp_int* prime, mp_digit mp, mp_proj* r, mp_int* t1, mp_int* t2) { int err; /* t1 = p.x * q.y */ err = sakke_mont_mulmod(p->x, q->y, prime, t1, mp); /* r->x = p.x * q.x */ if (err == 0) { err = sakke_mont_mulmod(p->x, q->x, prime, r->x, mp); } /* t2 = p.y * q.y */ if (err == 0) { err = sakke_mont_mulmod(p->y, q->y, prime, t2, mp); } /* r.x = (p.x * q.x) - (p.y * q.y) */ if (err == 0) { err = sakke_submod(r->x, t2, prime, r->x); } /* r.y = p.y * q.x */ if (err == 0) { err = sakke_mont_mulmod(p->y, q->x, prime, r->y, mp); } /* r.y = (p.x * q.y) + (p.y * q.x) */ if (err == 0) { err = sakke_addmod(t1, r->y, prime, r->y); } return err; } /* * Multiply two elements of PF_p[q] (projectivization of F_p with order q). * * q must not be the same object as r. * Calculation: * r.x = (p.x * q.x) - (p.y * q.y) * r.y = (p.x * q.y) + (p.y * q.x) * But qx = 1 * r.x = p.x - (p.y * q.y) * r.y = (p.x * q.y) + p.y * * @param [in] p MP projective integer - first value to multiply. * @param [in] q MP projective integer - second value to multiply. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] r Result of operation. * @param [in] t1 MP integer temporary. * @param [in] t2 MP integer temporary. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_proj_mul_qx1(mp_proj* p, mp_int* q, mp_int* prime, mp_digit mp, mp_proj* r, mp_int* t1, mp_int* t2) { int err; /* t1 = p.x * q.y */ err = sakke_mont_mulmod(p->x, q, prime, t1, mp); /* t2 = p.y * q.y */ if (err == 0) { err = sakke_mont_mulmod(p->y, q, prime, t2, mp); } /* r.x = p.x - (p.y * q.y) */ if (err == 0) { err = sakke_submod(p->x, t2, prime, r->x); } /* r.y = (p.x * q.y) + p.y */ if (err == 0) { err = sakke_addmod(t1, p->y, prime, r->y); } return err; } /* * Calculate the gradient of line through P, P and [-2]P. * * @param [in] p ECC point - first point on the elliptic curve. * @param [in] t2 MP integer temporary. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] l MP integer representing gradient. * @param [out] z2 MP integer representing p.z^2. */ static int sakke_calc_dbl_rx(ecc_point* p, ecc_point* q, mp_int* prime, mp_digit mp, mp_proj* r, mp_int* l, mp_int* z2) { int err; mp_int* t = r->y; /* z2 = p.z^2 */ err = sakke_mont_sqrmod(p->z, prime, z2, mp); /* t = p.x + p.z^2 */ if (err == 0) { err = sakke_addmod(p->x, z2, prime, l); } /* r1 = p.x - p.z^2 */ if (err == 0) { err = sakke_submod(p->x, z2, prime, t); } /* l = ((p.x - p.z^2) * (p.x + p.z^2) = p.x ^ 2 - p.z^4 */ if (err == 0) { err = sakke_mont_mulmod(l, t, prime, l, mp); } /* l = ((p.x ^ 2) - p.z^4) * 3 */ if (err == 0) { err = sakke_tplmod(l, prime, l); } /* t = q.x * p.z^2 */ if (err == 0) { err = sakke_mont_mulmod(q->x, z2, prime, t, mp); } /* t = p.x + q.x * p.z^2 */ if (err == 0) { err = sakke_addmod(p->x, t, prime, t); } /* r.x = l * (p.x + q.x * p.z^2) */ if (err == 0) { err = sakke_mont_mulmod(l, t, prime, r->x, mp); } return err; } #ifdef WOLFSSL_SAKKE_SMALL /* * Calculate gradient of line through P, P and [-2]P and accumulate line. * * Calculation: * l = 3 * (p.x^2 - p.z^4) = 3 * (p.x - p.z^2) * (p.x + p.z^2) * r.x = l * (p.x + q.x * p.z^2) - 2 * p.y^2 * r.y = 2 * p.y * p.z^3 * q.y * v* = v*^2 * r* * * @param [in] p ECC point - first point on the elliptic curve. * @param [in] q ECC point - second point on the elliptic curve. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] r MP projective integer - gradient in PF_p[q]. * @param [in] t1 MP integer temporary. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_accumulate_line_dbl(mp_proj* v, ecc_point* p, ecc_point* q, mp_int* prime, mp_digit mp, mp_proj* r, mp_int** t) { int err; mp_int* t1 = t[0]; mp_int* t2 = r->z; mp_int* z2 = t[1]; mp_int* l = t1; /* v = v^2 */ err = sakke_proj_sqr(v, prime, mp, v, t1, t2); /* l = 3 * (p.x^2 - p.z^4), z2 = p.z^2, rx = l * (p.x + q.x * p.z^2) */ if (err == 0) { err = sakke_calc_dbl_rx(p, q, prime, mp, r, l, z2); } /* t1 = p.y ^ 2 */ if (err == 0) { err = sakke_mont_sqrmod(p->y, prime, t1, mp); } /* t1 = 2 * (p.y ^ 2) */ if (err == 0) { err = sakke_addmod(t1, t1, prime, t1); } /* r.x -= 2 * (p.y ^ 2) */ if (err == 0) { err = sakke_submod(r->x, t1, prime, r->x); } /* r.y = p.y * 2 */ if (err == 0) { err = sakke_addmod(p->y, p->y, prime, r->y); } /* r.y = (p.y * 2) * q.y */ if (err == 0) { err = sakke_mont_mulmod(r->y, q->y, prime, r->y, mp); } /* t2 = p.z^3 */ if (err == 0) { err = sakke_mont_mulmod(p->z, z2, prime, t2, mp); } /* r.y *= p.z^3 */ if (err == 0) { err = sakke_mont_mulmod(r->y, t2, prime, r->y, mp); } /* v = v^2 * r */ if (err == 0) { err = sakke_proj_mul(v, r, prime, mp, v, t1, t2); } return err; } /* * Calculate gradient of line through C, P and -C-P and accumulate line. * * Calculations: * r.x = (q.x + p.x) * c.y - (q.x * c.z^2 + c.x) * p.y * c.z * r.y = (c.x - p.x * c.z^2) * q.y * c.z * v* = v* * r* * * @param [in] p First point on elliptic curve. * @param [in] q Second point on elliptic curve. * @param [in] c Third point on elliptic curve. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] r Resulting gradient in PF_p[q]. * @param [in] t MP integer temporary. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_accumulate_line_add_one(mp_proj* v, mp_int* prime, mp_digit mp, ecc_point* p, ecc_point* q, ecc_point* c, mp_proj* r, mp_int* t1) { int err; mp_int* t2 = r->z; /* r.x = (q.x + p.x) * c.y */ err = sakke_addmod(q->x, p->x, prime, r->x); if (err == 0) { err = sakke_mont_mulmod(r->x, c->y, prime, r->x, mp); } /* t2 = c.z^2 */ if (err == 0) { err = sakke_mont_sqrmod(c->z, prime, t2, mp); } /* t = q.x * c.z^2 */ if (err == 0) { err = sakke_mont_mulmod(q->x, t2, prime, t1, mp); } /* t = q.x * c.z^2 + c.x */ if (err == 0) { err = sakke_addmod(t1, c->x, prime, t1); } /* t = (q.x * c.z^2 + c.x) * p.y */ if (err == 0) { err = sakke_mont_mulmod(t1, p->y, prime, t1, mp); } /* t *= c.z */ if (err == 0) { err = sakke_mont_mulmod(t1, c->z, prime, t1, mp); } /* r.x -= t */ if (err == 0) { err = sakke_submod(r->x, t1, prime, r->x); } /* t = p.x * c.z^2 */ if (err == 0) { err = sakke_mont_mulmod(p->x, t2, prime, t1, mp); } /* r.y = c.x - p.x * c.z^2 */ if (err == 0) { err = sakke_submod(c->x, t1, prime, r->y); } /* r.y = (c.x - p.x) * q.y */ if (err == 0) { err = sakke_mont_mulmod(r->y, q->y, prime, r->y, mp); } /* r.y = c.x - p.x) * q.y * c.z */ if (err == 0) { err = sakke_mont_mulmod(r->y, c->z, prime, r->y, mp); } /* v = v * r */ if (err == 0) { err = sakke_proj_mul(v, r, prime, mp, v, t1, t2); } return err; } #else /* * Calculate gradient of line through P, P and [-2]P and accumulate line. * Double the point p. * * Calculation: * l = 3 * (p.x^2 - p.z^4) = 3 * (p.x - p.z^2) * (p.x + p.z^2) * r.x = l * (p.x + q.x * p.z^2) - 2 * p.y^2 * r.y = 2 * p.y * p.z^3 * q.y * v* = v*^2 * r* * p'.x = l^2 - 8 * p.y^2 * p.x * p'.y = (4 * p.y^2 * p.x - p'.x) * l - 8 * p.y^4 * p'.z = 2 * p.y * p.z * * @param [in] p ECC point - first point on the elliptic curve. * @param [in] q ECC point - second point on the elliptic curve. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] r MP projective integer - gradient in PF_p[q]. * @param [in] t1 MP integer temporary. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_accumulate_line_dbl(mp_proj* v, ecc_point* p, ecc_point* q, mp_int* prime, mp_digit mp, mp_proj* r, mp_int** t) { int err = 0; mp_int* t1 = t[0]; mp_int* t2 = r->z; mp_int* z2 = t[1]; #ifdef WOLFSSL_SMALL_STACK mp_int* l = NULL; mp_int* ty = NULL; l = (mp_int *)XMALLOC(sizeof(*l), NULL, DYNAMIC_TYPE_TMP_BUFFER); if (l == NULL) err = 1; ty = (mp_int *)XMALLOC(sizeof(*ty), NULL, DYNAMIC_TYPE_TMP_BUFFER); if (ty == NULL) err = 1; #else mp_int tmp[2]; mp_int* l = &tmp[0]; mp_int* ty = &tmp[1]; #endif if (err == 0) err = mp_init(l); if (err == 0) { err = mp_init(ty); } /* v = v^2 */ if (err == 0) { err = sakke_proj_sqr(v, prime, mp, v, t1, t2); } /* l = 3 * (p.x^2 - p.z^4), z2 = p.z^2, rx = l * (p.x + q.x * p.z^2) */ if (err == 0) { err = sakke_calc_dbl_rx(p, q, prime, mp, r, l, z2); } /* ty = p.y ^ 2 */ if (err == 0) { err = sakke_mont_sqrmod(p->y, prime, ty, mp); } /* ty = 2 * (p.y ^ 2) */ if (err == 0) { err = sakke_addmod(ty, ty, prime, ty); } /* r.x -= 2 * (p.y ^ 2) */ if (err == 0) { err = sakke_submod(r->x, ty, prime, r->x); } /* r.y = p.y * 2 */ if (err == 0) { err = sakke_addmod(p->y, p->y, prime, r->y); } /* r.y = p.y * 2 * p.z */ if (err == 0) { err = sakke_mont_mulmod(r->y, p->z, prime, p->z, mp); } /* r.y = p.y * 2 * p.z^3 */ if (err == 0) { err = sakke_mont_mulmod(p->z, z2, prime, r->y, mp); } /* r.y = (p.y * 2 * p.z^3) * q.y */ if (err == 0) { err = sakke_mont_mulmod(r->y, q->y, prime, r->y, mp); } /* v = v^2 * r */ if (err == 0) { err = sakke_proj_mul(v, r, prime, mp, v, t1, t2); } /* Double point using previously calculated values * l = 3 * (X - Z^2).(X + Z^2) * ty = 2 * Y^2 * Z = 2 * Y * Z */ /* Y = 2 * 2 * Y^2 */ if (err == 0) { err = sakke_addmod(ty, ty, prime, p->y); } /* T2 = 4 * Y^4 */ if (err == 0) { err = sakke_mont_sqrmod(ty, prime, t2, mp); } /* T2 = 8 * Y^4 */ if (err == 0) { err = sakke_addmod(t2, t2, prime, t2); } /* Y = Y * X */ if (err == 0) { err = sakke_mont_mulmod(p->y, p->x, prime, p->y, mp); } /* X = l * l */ if (err == 0) { err = sakke_mont_sqrmod(l, prime, p->x, mp); } /* X = X - Y */ if (err == 0) { err = sakke_submod(p->x, p->y, prime, p->x); } /* X = X - Y */ if (err == 0) { err = sakke_submod(p->x, p->y, prime, p->x); } /* Y = Y - X */ if (err == 0) { err = sakke_submod(p->y, p->x, prime, p->y); } /* Y = Y * l */ if (err == 0) { err = sakke_mont_mulmod(p->y, l, prime, p->y, mp); } /* Y = Y - T2 */ if (err == 0) { err = sakke_submod(p->y, t2, prime, p->y); } #ifdef WOLFSSL_SMALL_STACK if (ty != NULL) { mp_free(ty); XFREE(ty, NULL, DYNAMIC_TYPE_TMP_BUFFER); } if (l != NULL) { mp_free(l); XFREE(l, NULL, DYNAMIC_TYPE_TMP_BUFFER); } #else mp_free(ty); mp_free(l); #endif return err; } /* * Calculate gradient of line through C, P and -C-P and accumulate line. * Add point p into c. * * Calculations: * r.x = (q.x + p.x) * c.y - (q.x * c.z^2 + c.x) * p.y * c.z * r.y = (c.x - p.x * c.z^2) * q.y * c.z * v* = v* * r* * r = p.y * c.z^3 - c.y * c'.x = r^2 + h^3 - 2 * c.x * h^2 * c'.y = r * (c'.x - c.x * h^2) - c.y * h^3 * c'.z = (c.x - p.x * c.z^2) * c.z * * @param [in] p First point on elliptic curve. * @param [in] q Second point on elliptic curve. * @param [in] c Third point on elliptic curve. * @param [in] prime MP integer that is the modulus of the field. * @param [in] mp Multiplier to use when converting from Montgomery form. * @param [out] r Resulting gradient in PF_p[q]. * @param [in] t MP integer temporary. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_accumulate_line_add_one(mp_proj* v, mp_int* prime, mp_digit mp, ecc_point* p, ecc_point* q, ecc_point* c, mp_proj* r, mp_int** t) { int err = 0; mp_int* t1 = t[0]; mp_int* t2 = t[1]; #ifdef WOLFSSL_SMALL_STACK mp_int* h = NULL; mp_int* ty = NULL; mp_int* tz = NULL; mp_int* t3 = NULL; h = (mp_int *)XMALLOC(sizeof(*h), NULL, DYNAMIC_TYPE_TMP_BUFFER); if (h == NULL) err = 1; ty = (mp_int *)XMALLOC(sizeof(*ty), NULL, DYNAMIC_TYPE_TMP_BUFFER); if (ty == NULL) err = 1; tz = (mp_int *)XMALLOC(sizeof(*tz), NULL, DYNAMIC_TYPE_TMP_BUFFER); if (tz == NULL) err = 1; t3 = (mp_int *)XMALLOC(sizeof(*t3), NULL, DYNAMIC_TYPE_TMP_BUFFER); if (t3 == NULL) err = 1; #else mp_int tmp[4]; mp_int* h = &tmp[0]; mp_int* ty = &tmp[1]; mp_int* tz = &tmp[2]; mp_int* t3 = &tmp[3]; #endif if (err == 0) err = mp_init_multi(h, ty, tz, t3, NULL, NULL); /* r.x = (q.x + p.x) * c.y */ if (err == 0) { err = sakke_addmod(q->x, p->x, prime, r->x); } if (err == 0) { err = sakke_mont_mulmod(r->x, c->y, prime, r->x, mp); } /* tz = c.z^2 */ if (err == 0) { err = sakke_mont_sqrmod(c->z, prime, tz, mp); } /* t = q.x * c.z^2 */ if (err == 0) { err = sakke_mont_mulmod(q->x, tz, prime, t1, mp); } /* t = q.x * c.z^2 + c.x */ if (err == 0) { err = sakke_addmod(t1, c->x, prime, t1); } /* ty = p.y * c.z */ if (err == 0) { err = sakke_mont_mulmod(p->y, c->z, prime, ty, mp); } /* t = (q.x * c.z^2 + c.x) * p.y * c.z */ if (err == 0) { err = sakke_mont_mulmod(t1, ty, prime, t1, mp); } /* r.x -= t */ if (err == 0) { err = sakke_submod(r->x, t1, prime, r->x); } /* t = p.x * c.z^2 */ if (err == 0) { err = sakke_mont_mulmod(p->x, tz, prime, t1, mp); } /* h = c.x - p.x * c.z^2 */ if (err == 0) { err = sakke_submod(c->x, t1, prime, h); } /* t3 = (c.x - p.x * c.z^2 ) * c.z*/ if (err == 0) { err = sakke_mont_mulmod(h, c->z, prime, t3, mp); } /* r.y = (c.x - p.x * c.z^2) * c.z * q.y */ if (err == 0) { err = sakke_mont_mulmod(t3, q->y, prime, r->y, mp); } /* v = v * r */ if (err == 0) { err = sakke_proj_mul(v, r, prime, mp, v, t1, t2); } /* Add p to c using previously calculated values. * h = c.x - p.x * c.z^2 * ty = p.y * c.z * tz = c.z^2 * t3 = (c.x - p.x * c.z^2) * c.z */ /* R = p.y * c.z^3 - c.y */ if (err == 0) { err = sakke_mont_mulmod(ty, tz, prime, ty, mp); } if (err == 0) { err = sakke_submod(ty, c->y, prime, ty); } /* c'.z = -H * c.z */ if (err == 0) { err = sakke_submod(prime, t3, prime, c->z); } /* c'.x = R^2 + H^3 - 2 * c.x * H^2 */ if (err == 0) { err = sakke_mont_sqrmod(ty, prime, t1, mp); } if (err == 0) { err = sakke_mont_sqrmod(h, prime, t2, mp); } if (err == 0) { err = sakke_mont_mulmod(c->x, t2, prime, t3, mp); } if (err == 0) { err = sakke_mont_mulmod(t2, h, prime, t2, mp); } if (err == 0) { err = sakke_addmod(t1, t2, prime, c->x); } if (err == 0) { err = sakke_addmod(t3, t3, prime, t1); } if (err == 0) { err = sakke_submod(c->x, t1, prime, c->x); } /* c'.y = R * (c.x * H^2 - c'.x) + c.y * H^3 */ if (err == 0) { err = sakke_submod(t3, c->x, prime, t3); } if (err == 0) { err = sakke_mont_mulmod(t3, ty, prime, t3, mp); } if (err == 0) { err = sakke_mont_mulmod(t2, c->y, prime, t2, mp); } if (err == 0) { err = sakke_addmod(t3, t2, prime, c->y); } #ifdef WOLFSSL_SMALL_STACK if (t3 != NULL) { mp_free(t3); XFREE(t3, NULL, DYNAMIC_TYPE_TMP_BUFFER); } if (tz != NULL) { mp_free(tz); XFREE(tz, NULL, DYNAMIC_TYPE_TMP_BUFFER); } if (ty != NULL) { mp_free(ty); XFREE(ty, NULL, DYNAMIC_TYPE_TMP_BUFFER); } if (h != NULL) { mp_free(h); XFREE(h, NULL, DYNAMIC_TYPE_TMP_BUFFER); } #else mp_free(t3); mp_free(tz); mp_free(ty); mp_free(h); #endif return err; } #endif /* WOLFSSL_SAKKE_SMALL */ /* * Calculate r = pairing . * * That is, multiply base in PF_p[q] by the scalar s, such that s.P = Q. * * @param [in] key SAKKE key. * @param [in] p First point on E(F_p)[q]. * @param [in] q Second point on E(F_p)[q]. * @param [out] r Result of calculation. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_pairing(SakkeKey* key, ecc_point* p, ecc_point* q, mp_int* r, const byte* table, word32 len) { int err; ecc_point* v = key->params.base; ecc_point* c = key->tmp.p1; mp_proj* t2 = key->tmp.p3; mp_int* t3 = &key->tmp.m2; mp_int* prime = &key->params.prime; mp_int* t[] = { &key->tmp.m1, t3 }; int i; mp_digit mp = 0; SakkeKeyParams* params = &key->params; (void)table; (void)len; err = sakke_point_to_mont(p, prime, &key->tmp.m1, 0); if (err == 0) { err = sakke_point_to_mont(q, prime, &key->tmp.m1, 1); } if (err == 0) { err = wc_ecc_copy_point(p, c); } /* Set v to 1. */ if (err == 0) { params->haveBase = 0; err = mp_set(v->x, 1); } if (err == 0) { err = mp_set(v->y, 0); } if (err == 0) { err = mp_montgomery_setup(prime, &mp); } for (i = mp_count_bits(¶ms->q) - 2; (err == 0) && (i >= 0); i--) { #ifdef WOLFSSL_SAKKE_SMALL /* Accumulate line into v and double point. */ err = sakke_accumulate_line_dbl(v, c, q, prime, mp, t2, t); if (err == 0) { err = ecc_projective_dbl_point(c, c, NULL, prime, mp); } if ((err == 0) && (i > 0) && mp_is_bit_set(¶ms->q, i)) { /* Accumulate line into v and add P into C. */ err = sakke_accumulate_line_add_one(v, prime, mp, p, q, c, t2, &key->tmp.m1); if (err == 0) { err = ecc_projective_add_point(p, c, c, NULL, prime, mp); } } #else /* Accumulate line into v and double point. */ err = sakke_accumulate_line_dbl(v, c, q, prime, mp, t2, t); if ((err == 0) && (i > 0) && mp_is_bit_set(¶ms->q, i)) { /* Accumulate line into v and add P into C. */ err = sakke_accumulate_line_add_one(v, prime, mp, p, q, c, t2, t); } #endif /* WOLFSSL_SAKKE_SMALL */ } /* Final exponentiation */ if (err == 0) { err = sakke_proj_sqr(v, prime, mp, v, &key->tmp.m1, t3); } if (err == 0) { err = sakke_proj_sqr(v, prime, mp, v, &key->tmp.m1, t3); } /* Convert from PF_p[q] to F_p */ if (err == 0) { err = mp_invmod(v->x, prime, r); } if (err == 0) { err = mp_mulmod(r, v->y, prime, r); } if (err == 0) { err = sakke_point_from_mont(p, prime, mp); } if (err == 0) { err = sakke_point_from_mont(q, prime, mp); } return err; } #endif /* WOLFSSL_HAVE_SP_ECC */ /** * Set the Receiver Secret Key (RSK) and any table associated with it. * * @param [in] key SAKKE key. * @param [in] rsk Receiver Secret Key (RSK) as an ECC point. * @param [in] table Pre-computation table. May be NULL. * @param [in] len Size of pre-computation table in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or rsk is NULL. * @return MEMORY_E when dynamic memory allocation fails. */ int wc_SetSakkeRsk(SakkeKey* key, const ecc_point* rsk, byte* table, word32 len) { int err = 0; if ((key == NULL) || (rsk == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { key->rsk.set = 0; err = wc_ecc_copy_point(rsk, key->rsk.rsk); } if (err == 0) { key->rsk.table = table; key->rsk.tableLen = len; key->rsk.set = 1; } return err; } /* * Compute the elliptic curve point I for device B. Partial for point R. * * RFC 6508, Section 6.2.1, Step 3.\n * RFC 6508, Section 6.2.2, Step 5.\n * I = [b]P + Z_S * * @param [in] key SAKKE key. * @param [in] id Identifier to of device B. * @param [in] idSz Size of identifier in bytes. * @param [out] i ECC point - partial for point R. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_compute_point_i(SakkeKey* key, const byte* id, word16 idSz, ecc_point* i) { int err; mp_int* b = &key->ecc.k; /* Load b - ID of receiver */ err = mp_read_unsigned_bin(b, id, idSz); if (err == 0) { err = sakke_load_base_point(key); } #ifndef WOLFSSL_HAVE_SP_ECC /* Convert to montgomery form for add operation. */ if (err == 0) { err = sakke_z_to_mont(key, &key->tmp.m2); } #endif /* [b]P + Z_S */ if (err == 0) { ecc_point* z = &key->ecc.pubkey; err = sakke_mulmod_base_add(key, b, z, i, 1); } return err; } /** * Validate the Receiver Secret Key (RSK) with the identity. * * RFC 6508, Section 6.1.2 * * A receiving client should validate an RSK before use. * * @param [in] key SAKKE key. * @param [in] id Identity to use. * @param [in] idSz Size of identity in bytes. * @param [in] rsk Receiver Secret Key as an ECC point. * @param [out] valid 1 indicates RSK is valid for identity. * 0 otherwise. * @return 0 on success. * @return BAD_FUNC_ARG when key, id, rsk or valid is NULL. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ int wc_ValidateSakkeRsk(SakkeKey* key, const byte* id, word16 idSz, ecc_point* rsk, int* valid) { int err = 0; mp_int* a = NULL; if ((key == NULL) || (id == NULL) || (rsk == NULL) || (valid == NULL)) { err = BAD_FUNC_ARG; } SAVE_VECTOR_REGISTERS(return _svr_ret;); /* Load elliptic curve parameters */ if (err == 0) { err = sakke_load_params(key); } if (err == 0) { err = sakke_load_base_point(key); } /* Load pairing base - g */ if (err == 0) { err = sakke_load_pairing_base(key); } /* Load a - identifier */ if (err == 0) { a = &key->tmp.m1; err = mp_read_unsigned_bin(a, id, idSz); } if (err == 0) { /* I = [b]P + Z_S */ err = sakke_compute_point_i(key, id, idSz, key->i.i); if ((err == 0) && (idSz <= SAKKE_ID_MAX_SIZE)) { XMEMCPY(key->i.id, id, idSz); key->i.idSz = idSz; } } /* < [a]P + Z, K_(a,T) > = < K_(a,T), [a]P + Z > = < rsk, i >*/ if (err == 0) { err = sakke_pairing(key, rsk, key->i.i, a, NULL, 0); } /* Compare pairing result with generator. */ if (valid != NULL) { *valid = ((err == 0) && (mp_cmp(a, &key->params.g) == MP_EQ)); } RESTORE_VECTOR_REGISTERS(); return err; } /** * Get the size of the authentication data that is the first part of the * encapsulated data. * * Clients need to know how long the authentication data so as the SSV starts * after the authentication data in a buffer.\n * For SAKKE parameter set 1: 257 bytes * * @param [in] key SAKKE key. * @param [out] authSz Size of authentication data in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or authSz is NULL. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ int wc_GetSakkeAuthSize(SakkeKey* key, word16* authSz) { int err = 0; if ((key == NULL) || (authSz == NULL)) { err = BAD_FUNC_ARG; } if (err == 0) { err = sakke_load_params(key); } if (err == 0) { word16 n = (word16)((mp_count_bits(&key->params.prime) + 7) / 8); *authSz = 1 + 2 * n; } return err; } #ifdef WOLFSSL_HAVE_SP_ECC /* * Modular exponentiate the value in F_p*. * * @param [in] key SAKKE key. * @param [in] b MP integer that is the base to exponentiate. * @param [in] e MP integer that is the exponent. * @param [out] r Result of exponentiation. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_modexp(const SakkeKey* key, const mp_int* b, mp_int* e, mp_int* r) { int err = NOT_COMPILED_IN; #ifdef WOLFSSL_SP_1024 if ((key->ecc.idx != ECC_CUSTOM_IDX) && (ecc_sets[key->ecc.idx].id == ECC_SAKKE_1)) { err = sp_ModExp_Fp_star_1024(b, e, r); } #endif return err; } #else #ifdef WOLFSSL_SAKKE_SMALL /* * Modular exponentiate the value in F_p*. * * @param [in] key SAKKE key. * @param [in] b MP integer that is the base to exponentiate. * @param [in] e MP integer that is the exponent. * @param [out] c Result of exponentiation. * @param [in] mp Multiplier to use when converting from Montgomery form. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_modexp_loop(SakkeKey* key, mp_int* b, mp_int* e, mp_proj* c, mp_digit mp) { int err; mp_int* t1 = &key->tmp.m1; mp_int* t2 = &key->tmp.m2; mp_int* by = key->tmp.p1->z; mp_int* prime = &key->params.prime; int i; /* Set the working value to the base in PF_p[q] */ err = mp_montgomery_calc_normalization(c->x, prime); /* Set c->y as montgomery form of b - base */ if (err == 0) { err = mp_mulmod(b, c->x, prime, by); } /* Set by as montgomery form of b - base */ if (err == 0) { err = mp_copy(by, c->y); } /* Simple non-constant time exponentiation over a field. */ for (i = mp_count_bits(e) - 2; (err == 0) && (i >= 0); i--) { err = sakke_proj_sqr(c, prime, mp, c, t1, t2); if (err == 0) { if (mp_is_bit_set(e, i)) { err = sakke_proj_mul_qx1(c, by, prime, mp, c, t1, t2); } } } return err; } #elif defined(WOLFSSL_SAKKE_SMALL_MODEXP) || !defined(USE_FAST_MATH) /* * Modular exponentiate the value in F_p*. * * @param [in] key SAKKE key. * @param [in] b MP integer that is the base to exponentiate. * @param [in] e MP integer that is the exponent. * @param [out] r Result of exponentiation. * @param [in] mp Multiplier to use when converting from Montgomery form. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_modexp_loop(SakkeKey* key, mp_int* b, mp_int* e, mp_proj* r, mp_digit mp) { int err; #ifdef WC_NO_CACHE_RESISTANT mp_proj* c[2] = { r, key->tmp.p2 }; #else mp_proj* c[3] = { r, key->tmp.p3, key->tmp.p2 }; #endif mp_int* t1 = &key->tmp.m1; mp_int* t2 = &key->tmp.m2; mp_int* by = key->tmp.p1->z; mp_int* prime = &key->params.prime; int i; /* Set the working value to the base in PF_p[q] */ err = mp_montgomery_calc_normalization(c[0]->x, prime); /* Set c[0] to [mont_one, zero] */ if (err == 0) { mp_zero(c[0]->y); /* Set 'by' to montgomery form of 'b' - base */ err = mp_mulmod(b, c[0]->x, prime, by); } for (i = mp_count_bits(&key->params.q) - 1; (err == 0) && (i >= 0); i--) { int j = mp_is_bit_set(e, i); err = sakke_proj_sqr(c[0], prime, mp, c[0], t1, t2); if (err == 0) { #ifdef WC_NO_CACHE_RESISTANT err = sakke_proj_mul_qx1(c[0], by, prime, mp, c[j^1], t1, t2); #else err = sakke_proj_mul_qx1(c[0], by, prime, mp, c[2], t1, t2); mp_copy(c[2]->x, (mp_int*) ( ((wc_ptr_t)c[0]->x & wc_off_on_addr[j]) + ((wc_ptr_t)c[1]->x & wc_off_on_addr[j^1]) ) ); mp_copy(c[2]->y, (mp_int*) ( ((wc_ptr_t)c[0]->y & wc_off_on_addr[j]) + ((wc_ptr_t)c[1]->y & wc_off_on_addr[j^1]) ) ); #endif } } return err; } #else /* Table for 8-bit striping exponentiation. */ static const byte sakke_1024_g_table[256][128] = { { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, { 0x59, 0xe9, 0x3c, 0x6a, 0x6b, 0xd3, 0xba, 0xf4, 0xaf, 0xd5, 0x88, 0x91, 0xe8, 0x6c, 0xb2, 0x21, 0x61, 0x52, 0xba, 0x02, 0xc7, 0x27, 0xc9, 0x8e, 0x21, 0xf1, 0x1c, 0x06, 0x7d, 0x3b, 0x4f, 0x7d, 0x66, 0xdb, 0xd0, 0x9a, 0x9b, 0x67, 0xe0, 0x96, 0x6f, 0xaf, 0x7a, 0x00, 0x61, 0xc1, 0xf3, 0x0d, 0x0e, 0x74, 0x1a, 0x1b, 0x2d, 0x8e, 0xae, 0x58, 0xd6, 0xd8, 0x59, 0xbf, 0x16, 0xac, 0x6c, 0x6f, 0xad, 0xde, 0xdc, 0x85, 0x8f, 0x88, 0x71, 0x7c, 0x27, 0xbe, 0x88, 0x2c, 0x2f, 0xd1, 0x51, 0xe6, 0xd8, 0x9e, 0x2d, 0x14, 0x72, 0xbf, 0x1a, 0xfb, 0x3a, 0xf4, 0x9b, 0xb4, 0xb3, 0x65, 0x76, 0xd1, 0x26, 0x46, 0xf8, 0x15, 0x82, 0x64, 0x24, 0x75, 0x40, 0xe8, 0xf3, 0xdf, 0x43, 0xca, 0x4a, 0x73, 0xea, 0xc9, 0xe9, 0x71, 0xe1, 0x00, 0x7a, 0x58, 0x17, 0x0a, 0x46, 0xd2, 0x33, 0x5c, 0x16, 0x85 }, { 0x63, 0xef, 0x18, 0x7b, 0x74, 0xf6, 0x2e, 0x03, 0xbe, 0x85, 0xac, 0x6a, 0x9b, 0x6a, 0x52, 0xb9, 0x5f, 0x19, 0xc2, 0x0d, 0x6f, 0x83, 0x73, 0xd3, 0x16, 0xf1, 0x86, 0x31, 0x50, 0xa9, 0xd0, 0xd9, 0x13, 0x94, 0x6d, 0x17, 0x9f, 0x7b, 0xfa, 0x2e, 0xdd, 0x9f, 0x6a, 0x91, 0x0a, 0x18, 0x0e, 0xb6, 0x51, 0xf7, 0x11, 0x9b, 0x4a, 0xc8, 0x43, 0x1c, 0xfd, 0x45, 0x62, 0x67, 0x40, 0x38, 0x98, 0x13, 0x81, 0x3d, 0x1c, 0xb2, 0x2e, 0xcb, 0x96, 0x52, 0xb9, 0xbd, 0x3a, 0xfd, 0xf5, 0xcb, 0x6a, 0xb5, 0x11, 0x8b, 0xd7, 0x92, 0xc1, 0x13, 0x99, 0xfa, 0x97, 0x53, 0x79, 0x4c, 0x8f, 0x5c, 0x14, 0x18, 0x85, 0x88, 0xaa, 0x99, 0x3f, 0x52, 0x09, 0x28, 0x9e, 0xa5, 0xa4, 0x4e, 0xa1, 0x9f, 0x65, 0x30, 0xbb, 0xc9, 0xcc, 0x9f, 0x00, 0xae, 0xf1, 0xe6, 0xe5, 0x4d, 0xd3, 0x6f, 0x71, 0xdd, 0x45, 0x94 }, { 0x4f, 0xe6, 0x79, 0x1c, 0xf1, 0x92, 0xda, 0x23, 0x90, 0xdc, 0xc7, 0x94, 0xdd, 0xac, 0x2c, 0xda, 0x50, 0x5e, 0x8e, 0xc2, 0xeb, 0x19, 0x96, 0x33, 0x68, 0x2e, 0xcc, 0x49, 0x47, 0x68, 0x5f, 0xbe, 0xab, 0x0c, 0xb6, 0x3c, 0x12, 0x9f, 0x85, 0xcb, 0xb1, 0x36, 0x09, 0x86, 0x15, 0x55, 0x9c, 0x41, 0x7f, 0xf3, 0x35, 0x4e, 0x3f, 0x98, 0x60, 0xc8, 0xa0, 0xed, 0x29, 0x9b, 0x0f, 0x5c, 0x6c, 0xd1, 0xae, 0x18, 0x28, 0x30, 0x73, 0x3f, 0xa3, 0xbe, 0x93, 0x3e, 0x0d, 0x41, 0xb3, 0x30, 0xbc, 0x4d, 0x5b, 0x40, 0x74, 0x74, 0xbb, 0x60, 0xf8, 0xcf, 0xbd, 0xa4, 0x1b, 0x1f, 0x72, 0x41, 0x09, 0x8b, 0x6f, 0xdb, 0xf0, 0xa2, 0xc7, 0xaf, 0xd8, 0x1d, 0x73, 0x92, 0xf7, 0x41, 0xce, 0x42, 0x9b, 0x60, 0x1c, 0x1b, 0xdb, 0x57, 0x2b, 0xec, 0x82, 0xf8, 0x7c, 0x37, 0x6b, 0x7f, 0x01, 0x6f, 0x45, 0xe7 }, { 0x04, 0x48, 0x2a, 0x18, 0x56, 0x1d, 0xb2, 0x97, 0x55, 0x5d, 0x1f, 0xfe, 0xbe, 0x78, 0xd9, 0xd2, 0x18, 0xc2, 0x1f, 0x61, 0x1a, 0x04, 0x01, 0x70, 0x30, 0x95, 0x70, 0xc4, 0x4e, 0x9a, 0x1e, 0x52, 0xfa, 0x4d, 0xb1, 0x14, 0x8e, 0x95, 0x07, 0x61, 0x30, 0xcf, 0xa7, 0xce, 0x5c, 0xac, 0x4a, 0xab, 0xb5, 0x5e, 0xfd, 0xd0, 0x60, 0x68, 0x9a, 0x9a, 0xea, 0x52, 0xd0, 0x26, 0x23, 0x3f, 0x98, 0xd5, 0xaa, 0xa7, 0xa6, 0x1a, 0x7b, 0x81, 0xce, 0xa6, 0x43, 0x0a, 0x6d, 0xe5, 0xe8, 0x8c, 0xea, 0xf6, 0x9d, 0xfd, 0xe9, 0xed, 0xb2, 0xc1, 0x7b, 0x09, 0x00, 0xc8, 0x75, 0xe2, 0x71, 0x3b, 0xd7, 0x21, 0x0c, 0x44, 0x71, 0xc6, 0xdb, 0x41, 0x81, 0xcc, 0x23, 0x7c, 0x7e, 0x88, 0xe9, 0x61, 0xb3, 0x22, 0xcc, 0x84, 0x5e, 0x65, 0x1d, 0x57, 0x17, 0xc1, 0x94, 0xa4, 0x23, 0xd5, 0x05, 0xe8, 0x73, 0x3c }, { 0x83, 0x3a, 0x0f, 0xf8, 0xde, 0xdb, 0xf8, 0x9f, 0x1a, 0x9c, 0x3f, 0x25, 0x68, 0xcc, 0xdb, 0x44, 0xfa, 0x13, 0x50, 0xd3, 0xe7, 0x34, 0x27, 0x02, 0x0d, 0x26, 0x7f, 0xd9, 0x86, 0x92, 0x07, 0x7a, 0x66, 0xe1, 0xa4, 0x9f, 0xd7, 0x35, 0x57, 0xe9, 0x5b, 0x51, 0x85, 0x4d, 0x35, 0x45, 0x96, 0x68, 0x40, 0xc2, 0x7a, 0x04, 0x32, 0xa3, 0xd2, 0x22, 0x96, 0x3b, 0x05, 0x3e, 0xd7, 0xb2, 0xea, 0x45, 0xc8, 0xe4, 0x49, 0x9c, 0x57, 0x12, 0x8d, 0x37, 0xd6, 0xf2, 0x1f, 0x1a, 0x7e, 0x44, 0xfe, 0xb5, 0x28, 0xfc, 0x30, 0x7c, 0x45, 0x31, 0xbc, 0x60, 0x56, 0x0b, 0xee, 0x25, 0xbd, 0x8c, 0x22, 0x60, 0xa0, 0xe5, 0x4f, 0x02, 0xf3, 0x37, 0x36, 0x30, 0x72, 0x3c, 0x99, 0xfc, 0x21, 0x88, 0xab, 0x4f, 0x81, 0x69, 0xf9, 0x46, 0x61, 0xcd, 0xc1, 0xe7, 0xe7, 0x75, 0x8a, 0xc2, 0x73, 0xd4, 0x86, 0xd8 }, { 0x69, 0x2b, 0x3c, 0xe3, 0xeb, 0x24, 0x96, 0x5f, 0x2e, 0x2d, 0xf9, 0x5a, 0x85, 0xf8, 0x11, 0xa0, 0x74, 0x1f, 0xd5, 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/* * Loop for modular exponentiate the value in F_p*. * * Using 8-bit stripe table. * * @param [in] key SAKKE key. * @param [in] b MP integer that is the base to exponentiate. * @param [in] e MP integer that is the exponent. * @param [out] c Result of exponentiation. * @param [in] mp Multiplier to use when converting from Montgomery form. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_modexp_loop(SakkeKey* key, const mp_int* b, mp_int* e, mp_proj* c, mp_digit mp) { int err = 0; mp_int* t1 = &key->tmp.m1; mp_int* t2 = &key->tmp.m2; mp_int* by = key->tmp.p1->z; mp_int* prime = &key->params.prime; unsigned char eb[128]; int i; int y; /* Use table for values of b exponentiated. */ (void)b; (void)mp_to_unsigned_bin_len(e, eb, sizeof(eb)); /* Set the working value to the base in PF_p[q] */ err = mp_montgomery_calc_normalization(c->x, prime); if (err == 0) { y = (eb[112] >> 7) & 1; y |= ((eb[ 96] >> 7) & 1) << 1; y |= ((eb[ 80] >> 7) & 1) << 2; y |= ((eb[ 64] >> 7) & 1) << 3; y |= ((eb[ 48] >> 7) & 1) << 4; y |= ((eb[ 32] >> 7) & 1) << 5; y |= ((eb[ 16] >> 7) & 1) << 6; y |= ((eb[ 0] >> 7) & 1) << 7; (void)mp_read_unsigned_bin(c->y, sakke_1024_g_table[y], 128); } for (i = 128 - 2; (err == 0) && (i >= 0); i--) { y = (eb[127 - i / 8 ] >> (i & 0x7)) & 1; y |= ((eb[127 - (i / 8 + 16)] >> (i & 0x7)) & 1) << 1; y |= ((eb[127 - (i / 8 + 32)] >> (i & 0x7)) & 1) << 2; y |= ((eb[127 - (i / 8 + 48)] >> (i & 0x7)) & 1) << 3; y |= ((eb[127 - (i / 8 + 64)] >> (i & 0x7)) & 1) << 4; y |= ((eb[127 - (i / 8 + 80)] >> (i & 0x7)) & 1) << 5; y |= ((eb[127 - (i / 8 + 96)] >> (i & 0x7)) & 1) << 6; y |= ((eb[127 - (i / 8 + 112)] >> (i & 0x7)) & 1) << 7; err = sakke_proj_sqr(c, prime, mp, c, t1, t2); if (err == 0) { (void)mp_read_unsigned_bin(by, sakke_1024_g_table[y], 128); err = sakke_proj_mul_qx1(c, by, prime, mp, c, t1, t2); } } return err; } #endif /* WOLFSSL_SAKKE_SMALL */ /* * Modular exponentiate the value in F_p*. * * @param [in] key SAKKE key. * @param [in] b MP integer that is the base to exponentiate. * @param [in] e MP integer that is the exponent. * @param [out] r Result of exponentiation. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_modexp(SakkeKey* key, mp_int* b, mp_int* e, mp_int* r) { int err; mp_digit mp; mp_int* prime = &key->params.prime; mp_proj* c = key->tmp.p1; (void)b; err = mp_montgomery_setup(prime, &mp); if (err == 0) { err = sakke_modexp_loop(key, b, e, c, mp); } if (err == 0) { err = mp_montgomery_reduce(c->x, prime, mp); } if (err == 0) { err = mp_montgomery_reduce(c->y, prime, mp); } /* Convert value back from PF_p[q] to F_p* */ if (err == 0) { err = mp_invmod(c->x, prime, c->x); } if (err == 0) { err = mp_mulmod(c->x, c->y, prime, r); } return err; } #endif /* WOLFSSL_HAVE_SP_ECC */ /* * Calculate the hash values h and v. * * RFC 6508, section 5.1, Steps 4.a and 4.b. * * @param [in] key SAKKE key. * @param [in] hashType Hash algorithm to use. * @param [in] hashSz Size of output of hash algorithm in bytes. * @param [in] a Hash of data and extra. * @param [in] h Rolling hash result. * @param [out] v Output bytes of hashing. * @return 0 on success. * @return BAD_FUNC_ARG when hashType is not supported. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_calc_h_v(SakkeKey* key, enum wc_HashType hashType, word32 hashSz, const byte* a, byte* h, byte* v) { int err; /* Step 4.a: h_i = hashfn(h_(i - 1)) */ err = wc_HashUpdate(&key->hash, hashType, h, hashSz); if (err == 0) { err = wc_HashFinal(&key->hash, hashType, h); } /* Step 4.b: v_i = hashfn(h_i | A) */ if (err == 0) { err = wc_HashUpdate(&key->hash, hashType, h, hashSz); } if (err == 0) { err = wc_HashUpdate(&key->hash, hashType, a, hashSz); } if (err == 0) { err = wc_HashFinal(&key->hash, hashType, v); } return err; } /* * XOR hash output v into output, with length n, starting at index i. * * @param [in] v Output bytes of hashing. * @param [in] hashSz Size of output of hash algorithm in bytes. * @param [in,out] out Data to be XORed. * @param [in] idx Index to start XORing into. * @param [in] n Length of data to XOR (mask) in bytes. */ static void sakke_xor_in_v(const byte* v, word32 hashSz, byte* out, int idx, int n) { int o; word32 i; if (idx == 0) { i = hashSz - (n % hashSz); if (i == hashSz) { i = 0; } } else { i = 0; } o = i; for (; i < hashSz; i++) { out[idx + i - o] ^= v[i]; } } /* * Hash octet strings to an integer range. * * RFC 6508, section 5.1, Steps 1 to 4. * * @param [in] key SAKKE key. * @param [in] hashType Hash algorithm to use. * @param [in] data First block of data. * @param [in] sz Size of first block of data in bytes. * @param [in] extra Extra block of data. * @param [in] extraSz Size of extra block of data in bytes. * @param [out] a Output bytes of hashing. * @return 0 on success. * @return BAD_FUNC_ARG when hashType is not supported. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_calc_a(SakkeKey* key, enum wc_HashType hashType, const byte* data, word32 sz, const byte* extra, word32 extraSz, byte* a) { int err; int hash_inited = 0; /* Step 1: A = hashfn( s ), where s = data | extra */ err = wc_HashInit_ex(&key->hash, hashType, key->heap, INVALID_DEVID); if (err == 0) { hash_inited = 1; err = wc_HashUpdate(&key->hash, hashType, data, sz); } if ((err == 0) && (extra != NULL)) { err = wc_HashUpdate(&key->hash, hashType, extra, extraSz); } if (err == 0) { err = wc_HashFinal(&key->hash, hashType, a); } if (hash_inited) { (void)wc_HashFree(&key->hash, hashType); } return err; } /* * Hash octet strings to an integer range. * * RFC 6508, section 5.1, Steps 1 to 4. * * @param [in] key SAKKE key. * @param [in] hashType Hash algorithm to use. * @param [in] a Hash of original data. * @param [out] out Output bytes of hashing. * @param [in] n Size of output buffer in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when hashType is not supported. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_hash_to_range(SakkeKey* key, enum wc_HashType hashType, const byte* a, byte* out, word32 n) { int err = 0; byte h[WC_MAX_DIGEST_SIZE]; byte v[WC_MAX_DIGEST_SIZE]; word32 hashSz = 1; word32 i; int hash_inited = 0; err = wc_HashInit_ex(&key->hash, hashType, key->heap, INVALID_DEVID); if (err == 0) hash_inited = 1; /* Step 1: A = hashfn( s ), where s = data | extra * See sakke_calc_a (need function parameters to be 7 or less) */ /* Step 2: h_0 = 00...00, a string of null bits of length hashlen bits */ if (err == 0) err = wc_HashGetDigestSize(hashType); if (err > 0) { hashSz = (word32)err; XMEMSET(h, 0, hashSz); err = 0; /* reset err value after getting digest size */ } else if (err == 0) { /* invalid hash digest size */ err = BAD_FUNC_ARG; } /* Step 3: l = Ceiling(lg(n)/hashlen) */ /* Step 4: For each i in 1 to l, do */ for (i = 0; (err == 0) && (i < n); i += hashSz) { /* Steps 4.a and 4.b */ err = sakke_calc_h_v(key, hashType, hashSz, a, h, v); /* XOR in the result into output buffer. */ if (err == 0) { sakke_xor_in_v(v, hashSz, out, i, n); } } if (hash_inited) { (void)wc_HashFree(&key->hash, hashType); } return err; } /* * Hash octet strings to an integer range - RFC 6508 section 5.1. * Steps 1 to 6. * * @param [in] key SAKKE key. * @param [in] hashType Hash algorithm to use. * @param [in] a Hash of original data. * @param [in] q MP integer representing modulus. * @param [in] n Size of output in bytes. * @param [out] r MP integer representing modulo reduced hashes. * @return 0 on success. * @return BAD_FUNC_ARG when hashType is not supported. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_hash_to_range_int(SakkeKey* key, enum wc_HashType hashType, const byte* a, mp_int* q, word32 n, mp_int* r) { int err; byte* rb = key->data; /* Make all zeros so that hash output can be XORed in. */ XMEMSET(rb, 0, n); /* Steps 1-4 */ err = sakke_hash_to_range(key, hashType, a, rb, n); if (err == 0) { /* Steps 5 v' = v_1 | ... | v_l */ err = mp_read_unsigned_bin(r, rb, n); } if (err == 0) { /* Steps 6 v = v' mod n */ err = mp_mod(r, q, r); } return err; } /** * Set the identity to perform operations with. * * @param [in] key SAKKE key. * @param [in] id Identity. * @param [in] idSz Size of identity in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or id is NULL or idSz > SAKKE_ID_MAX_SIZE. */ int wc_SetSakkeIdentity(SakkeKey* key, const byte* id, word16 idSz) { int err = 0; if ((key == NULL) || (id == NULL) || (idSz > SAKKE_ID_MAX_SIZE)) { err = BAD_FUNC_ARG; } if (err == 0) { XMEMCPY(key->id, id, idSz); key->idSz = idSz; } return err; } /** * Compute the elliptic curve point I for identity. Partial for point R. * * RFC 6508, Section 6.2.1, Step 3.\n * RFC 6508, Section 6.2.2, Step 5.\n * I = [b]P + Z_S * * @param [in] key SAKKE key. * @param [in] id Identity. * @param [in] idSz Size of identity in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or id is NULL or idSz > SAKKE_ID_MAX_SIZE. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ int wc_MakeSakkePointI(SakkeKey* key, const byte* id, word16 idSz) { int err = 0; if ((key == NULL) || (id == NULL) || (idSz > SAKKE_ID_MAX_SIZE)) { err = BAD_FUNC_ARG; } SAVE_VECTOR_REGISTERS(return _svr_ret;); if (err == 0) { err = sakke_load_params(key); } if (err == 0) { /* I = [b]P + Z_S */ err = sakke_compute_point_i(key, id, idSz, key->i.i); } if (err == 0) { XMEMCPY(key->i.id, id, idSz); key->i.idSz = idSz; } RESTORE_VECTOR_REGISTERS(); return err; } /** * Get the elliptic curve point I - a partial calculation for point R. * * RFC 6508, Section 6.2.1, Step 3.\n * RFC 6508, Section 6.2.2, Step 5.\n * I = [b]P + Z_S * * @param [in] key SAKKE key. * @param [out] data Encoding of point I. * @param [in,out] sz On in, the size of data in bytes. * On out, the size of the encoding in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or sz is NULL. * @return LENGTH_ONLY_E when data is NULL. Number of bytes required returned * in sz. * @return BUFFER_E when sz is too small to hold encoding. */ int wc_GetSakkePointI(SakkeKey* key, byte* data, word32* sz) { int err = 0; if ((key == NULL) || (sz == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (data == NULL)) { *sz = key->ecc.dp->size * 2; err = LENGTH_ONLY_E; } if ((err == 0) && (*sz < (word32)key->ecc.dp->size * 2)) { err = BUFFER_E; } if (err == 0) { /* Write out the x ordinate into key size bytes. */ err = mp_to_unsigned_bin_len(key->i.i->x, data, key->ecc.dp->size); } if (err == 0) { data += key->ecc.dp->size; /* Write data the y ordinate into key size bytes. */ err = mp_to_unsigned_bin_len(key->i.i->y, data, key->ecc.dp->size); } if (err == 0) { *sz = key->ecc.dp->size * 2; } return err; } /** * Set the elliptic curve point I - a partial calculation for point R - and the * identity that it belongs to. * * RFC 6508, Section 6.2.1, Step 3.\n * RFC 6508, Section 6.2.2, Step 5.\n * I = [b]P + Z_S * * @param [in] key SAKKE key. * @param [out] data Encoding of point I. * @param [in,out] sz On in, the size of data in bytes. * On out, the size of the encoding in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key, id or data is NULL. * @return BUFFER_E when idSz is too big to store or sz is not the required * size. */ int wc_SetSakkePointI(SakkeKey* key, const byte* id, word16 idSz, const byte* data, word32 sz) { int err = 0; if ((key == NULL) || (id == NULL) || (data == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && ((idSz > SAKKE_ID_MAX_SIZE) || (sz != (word32)key->ecc.dp->size * 2))) { err = BUFFER_E; } if (err == 0) { /* Read the x value from key size bytes. */ err = mp_read_unsigned_bin(key->i.i->x, data, key->ecc.dp->size); } if (err == 0) { data += key->ecc.dp->size; /* Read the y value from key size bytes. */ err = mp_read_unsigned_bin(key->i.i->y, data, key->ecc.dp->size); } if (err == 0) { err = mp_set(key->i.i->z, 1); } if (err == 0) { XMEMCPY(key->i.id, id, idSz); key->i.idSz = idSz; } return err; } /** * Generate the pre-computation table for point I. * * A reference to the table is stored if successfully generated. * * @param [in] key SAKKE key. * @param [in,out] table Pre-computation table. * NULL to indicate that only length required. * @param [in,out] len On in, the size of table buffer in bytes. * On out, the size of table data in bytes. * @return BAD_FUNC_ARG then key or len is NULL. * @return LENGTH_ONLY_E when only the length is returned. * @return BUFFER_E when len is too small. * @return MEMORY_E when dynamic memory allocation fails. */ int wc_GenerateSakkePointITable(SakkeKey* key, byte* table, word32* len) { int err = 0; if ((key == NULL) || (len == NULL)) { err = BAD_FUNC_ARG; } #ifdef WOLFSSL_HAVE_SP_ECC if (err == 0) { SAVE_VECTOR_REGISTERS(return _svr_ret;); err = sp_ecc_gen_table_1024(key->i.i, table, len, key->heap); RESTORE_VECTOR_REGISTERS(); } if (err == 0) { key->i.table = table; key->i.tableLen = *len; } #else if ((err == 0) && (table == NULL)) { *len = 0; err = LENGTH_ONLY_E; } if ((err == 0) && (*len != 0)) { *len = 0; err = BUFFER_E; } if (err == 0) { *len = 0; key->i.table = table; key->i.tableLen = *len; } (void)table; #endif return err; } /** * Sets the pre-computation table for point I. * Speeds up making and deriving the encapsulated SSV. * * @param [in] key SAKKE key. * @param [in] table Pre-computation table for Point I. * @param [in] len Length of pre-computation table in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key or table is NULL. */ int wc_SetSakkePointITable(SakkeKey* key, byte* table, word32 len) { int err = 0; #ifdef WOLFSSL_HAVE_SP_ECC word32 sz = 0; #endif if ((key == NULL) || (table == NULL)) { err = BAD_FUNC_ARG; } #ifdef WOLFSSL_HAVE_SP_ECC if (err == 0) { err = sp_ecc_gen_table_1024(key->i.i, NULL, &sz, NULL); if (err == LENGTH_ONLY_E) { err = 0; } } if ((err == 0) && (len != sz)) { err = BUFFER_E; } #else if ((err == 0) && (len != 0)) { err = BUFFER_E; } #endif if (err == 0) { key->i.table = table; key->i.tableLen = len; } return err; } /** * Clears the pre-computation table for point I. * * Must be called once the table has been disposed of. * * @param [in] key SAKKE key. * @return 0 on success. * @return BAD_FUNC_ARG when key is NULL. */ int wc_ClearSakkePointITable(SakkeKey* key) { int err = 0; if (key == NULL) { err = BAD_FUNC_ARG; } if (err == 0) { key->i.table = NULL; key->i.tableLen = 0; } return err; } /* * Compute the elliptic curve point R for device B. * * RFC 6508, Section 6.2.1, Step 3.\n * RFC 6508, Section 6.2.2, Step 5.\n * R = [r]([b]P + Z_S) * * @param [in] key SAKKE key. * @param [in] id Identifier to of device B. * @param [in] idSz Size of identifier in bytes. * @param [in] z ECC point - KMS Public Key Z_S. * @param [in] n Number of bytes in r. * @param [in] out Result R encoded to bytes. * @return 0 on success. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ static int sakke_compute_point_r(SakkeKey* key, const byte* id, word16 idSz, const mp_int* r, word32 n, byte* out) { int err = 0; ecc_point* i = key->i.i; ecc_point* rp = key->tmp.p2; word32 sz; if ((key->i.idSz == 0) || (key->i.idSz != idSz) || (XMEMCMP(id, key->i.id, idSz) != 0)) { /* I = [b]P + Z_S */ err = sakke_compute_point_i(key, id, idSz, i); if ((err == 0) && (idSz <= SAKKE_ID_MAX_SIZE)) { XMEMCPY(key->i.id, id, idSz); key->i.idSz = idSz; } key->i.table = NULL; key->i.tableLen = 0; } /* [r]([b]P + Z_S) */ if (err == 0) { err = sakke_mulmod_point(key, r, i, key->i.table, rp, 1); } /* Export to canonical form */ if (err == 0) { sz = n * 2 + 1; err = wc_ecc_export_point_der(wc_ecc_get_curve_idx(key->ecc.dp->id), rp, out, &sz); } return err; } /** * Makes the Shared Secret Value (SSV) encapsulated and returns the * authentication data. * * RFC 6508, Section 6.2.1. * * SSV is overwritten with encapsulated SSV. * * Call wc_SetSakkeIdentity() to set the identity to use with operation. * * @param [in] key SAKKE key. * @param [in,out] ssv On in, Shared Secret Value (SSV) data. * On out, encrypted Shared Secret Value (SSV) data. * @param [in] ssvSz Size of SSV in bytes. * @param [in] hashType Hash algorithm to use. * @param [out] auth Authentication data. * @param [out] authSz Size of authentication data in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key, ssv or encSz is NULL, ssvSz is to big or * encSz is too small. * @return BAD_STATE_E when identity not set. * @return LENGTH_ONLY_E when auth is NULL. authSz contains required size of * auth in bytes. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ int wc_MakeSakkeEncapsulatedSSV(SakkeKey* key, enum wc_HashType hashType, byte* ssv, word16 ssvSz, byte* auth, word16* authSz) { int err = 0; mp_int* r = NULL; word16 n = 0; word16 outSz = 0; byte a[WC_MAX_DIGEST_SIZE]; if ((key == NULL) || (ssv == NULL) || (authSz == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (key->idSz == 0)) { err = BAD_STATE_E; } SAVE_VECTOR_REGISTERS(return _svr_ret;); /* Load parameters */ if (err == 0) { err = sakke_load_params(key); } if (err == 0) { n = (word16)((mp_count_bits(&key->params.prime) + 7) / 8); /* Uncompressed point */ outSz = 1 + 2 * n; if ((auth != NULL) && (*authSz < outSz)) { err = BAD_FUNC_ARG; } } if (err == 0) { *authSz = outSz; if (auth == NULL) { err = LENGTH_ONLY_E; } } if (err == 0) { err = sakke_load_base_point(key); } if (err == 0) { err = sakke_load_pairing_base(key); } /* Step 1: Generate a random SSV 0..(2^n)-1 * Already generated - see wc_MakeSakkeEncapsulated() */ /* Step 2: Compute r = HashToIntegerRange( SSV | b, q, Hash ) */ if (err == 0) { err = sakke_calc_a(key, hashType, ssv, ssvSz, key->id, key->idSz, a); } if (err == 0) { r = key->tmp.p3->z; err = sakke_hash_to_range_int(key, hashType, a, &key->params.q, n, r); } /* Step 3: Compute R_(b,S) = [r]([b]P + Z_S) in E(F_p) */ if (err == 0) { err = sakke_compute_point_r(key, key->id, key->idSz, r, n, auth); } /* Step 4.a: Compute g^r */ if (err == 0) { err = sakke_modexp(key, &key->params.g, r, r); } /* Step 4.b: Compute H := SSV XOR HashToIntegerRange( g^r, 2^n, Hash ) */ if (err == 0) { err = mp_to_unsigned_bin_len(r, key->data, n); } /* ssv ^= HashToIntegerRange( g^r, 2^n, Hash ) */ if (err == 0) { err = sakke_calc_a(key, hashType, key->data, n, NULL, 0, a); } if (err == 0) { err = sakke_hash_to_range(key, hashType, a, ssv, ssvSz); } /* Step 5: Form the Encapsulated Data ( R_(b,S), H ) * R_(b,S) encoded in sakke_compute_point_r, H is a pointer into enc. */ /* Step 6: Output SSV - already encoded in buffer */ RESTORE_VECTOR_REGISTERS(); return err; } /** * Generate a random Shared Secret Value (SSV). * * RFC 6508, Section 6.2.1, Step 1. * * @param [in] key SAKKE key. * @param [in] rng Random number generator. * @param [out] ssv Shared Secret Value (SSV) data. * @param [out] ssvSz Size of SSV in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key, rng or ssvSz is NULL or ssvSz is to small. * @return LENGTH_ONLY_E when ssv is NULL. ssvSz contains the required size of * in bytes. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ int wc_GenerateSakkeSSV(SakkeKey* key, WC_RNG* rng, byte* ssv, word16* ssvSz) { int err = 0; word16 n = 0; if ((key == NULL) || (rng == NULL) || (ssvSz == NULL)) { err = BAD_FUNC_ARG; } /* Load parameters */ if (err == 0) { err = sakke_load_params(key); } if (err == 0) { n = (word16)((mp_count_bits(&key->params.prime) + 7) / 8); if ((ssv != NULL) && (*ssvSz > n)) { err = BAD_FUNC_ARG; } } if (err == 0) { /* Return length only if an ouput buffer is NULL. */ if (ssv == NULL) { *ssvSz = (word16) (n / 8); err = LENGTH_ONLY_E; } else { n = *ssvSz; } } /* Step 1: Select a random ephemeral integer value. Range 0..(2^n - 1) */ if (err == 0) { err = wc_RNG_GenerateBlock(rng, ssv, n); } return err; } /** * Derive the Shared Secret Value from the encapsulated data using the set * RSK * * RFC 6508, Section 6.2.2. * * Encapsulated SSV is overwritten with SSV. * * Call wc_SetSakkeIdentity() to set the identity to use with operation. * * Call wc_SetSakkeRSK() to set the Receiver Secret Key (RSK) to use with * operation. * * @param [in] key SAKKE key. * @param [in] hashType Hash algorithm to use. * @param [in,out] ssv On in, encrypted Secret Shared Value (SSV) data. * On out, Secret Shared Value (SSV) data. * @param [in] ssvSz Size of SSV in bytes. * @param [in] auth Authentication data. * @param [in] authSz Size of authentication data in bytes. * @return 0 on success. * @return BAD_FUNC_ARG when key, ssv or auth is NULL. * @return BAD_STATE_E when RSK or identity not set. * @return SAKKE_VERIFY_FAIL_E when calculated R doesn't match the encapsulated * data's R. * @return MEMORY_E when dynamic memory allocation fails. * @return Other -ve value on internal failure. */ int wc_DeriveSakkeSSV(SakkeKey* key, enum wc_HashType hashType, byte* ssv, word16 ssvSz, const byte* auth, word16 authSz) { int err = 0; word16 n = 0; ecc_point* r = NULL; mp_int* w = NULL; mp_int* ri = NULL; byte* wb = NULL; byte* test = NULL; byte a[WC_MAX_DIGEST_SIZE] = {0}; if ((key == NULL) || (ssv == NULL) || (auth == NULL)) { err = BAD_FUNC_ARG; } if ((err == 0) && (!key->rsk.set || (key->idSz == 0))) { err = BAD_STATE_E; } SAVE_VECTOR_REGISTERS(return _svr_ret;); /* Load parameters */ if (err == 0) { err = sakke_load_params(key); } if (err == 0) { n = (word16)((mp_count_bits(&key->params.prime) + 7) / 8); if (authSz != 2 * n + 1) { err = BAD_FUNC_ARG; } } if (err == 0) { err = sakke_load_base_point(key); } /* Step 1: Parse the Encapsulated Data ( R_(b,S), H ) * H = auth, so already extracted. */ if (err == 0) { r = key->tmp.p2; err = wc_ecc_import_point_der(auth, n * 2 + 1, wc_ecc_get_curve_idx(key->ecc.dp->id), r); } /* Step 2: w = < R_(b,S), K_(b,S) > = < K_(b,S), R_(b,S) > = < rsk , r > */ if (err == 0) { w = &key->tmp.m1; err = sakke_pairing(key, key->rsk.rsk, r, w, key->rsk.table, key->rsk.tableLen); } /* Step 3: Compute SSV = H XOR HashToIntegerRange( w, 2^n, Hash ) */ if (err == 0) { wb = key->data; err = mp_to_unsigned_bin_len(w, wb, n); } /* HashToIntegerRange( w, 2^n, Hash ) */ if (err == 0) { err = sakke_calc_a(key, hashType, wb, n, NULL, 0, a); } if (err == 0) { err = sakke_hash_to_range(key, hashType, a, ssv, ssvSz); } /* Step 4: r = HashToIntegerRange( SSV | b, q, Hash ) */ if (err == 0) { err = sakke_calc_a(key, hashType, ssv, ssvSz, key->id, key->idSz, a); } if (err == 0) { ri = &key->tmp.m1; err = sakke_hash_to_range_int(key, hashType, a, &key->params.q, n, ri); } /* Step 5: Compute TEST = [r]([b]P + Z_S) == R_(b,S) */ if (err == 0) { test = key->data; err = sakke_compute_point_r(key, key->id, key->idSz, ri, n, test); } if ((err == 0) && (XMEMCMP(auth, test, 2 * n + 1) != 0)) { err = SAKKE_VERIFY_FAIL_E; } RESTORE_VECTOR_REGISTERS(); return err; } #endif /* WOLFCRYPT_SAKKE_CLIENT */ #endif /* WOLFCRYPT_HAVE_SAKKE */