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Merge remote-tracking branch 'public/pr/2925' into baremetal

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This commit is contained in:
Simon Butcher 2019-12-13 14:51:29 +00:00
parent 0252cd6876 645896e0ea
commit e76c638d6f
16 changed files with 467 additions and 406 deletions
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4
include/mbedtls/check_config.h
View file

@ -110,6 +110,10 @@
#error "MBEDTLS_USE_TINYCRYPT defined, but it cannot be defined with MBEDTLS_NO_64BIT_MULTIPLICATION"
#endif
#if defined(MBEDTLS_USE_TINYCRYPT) && !defined(MBEDTLS_SHA256_C)
#error "MBEDTLS_USE_TINYCRYPT defined, but not MBEDTLS_SHA256_C"
#endif
#if defined(MBEDTLS_USE_TINYCRYPT) && \
!( defined(MBEDTLS_SSL_CONF_SINGLE_EC) && \
MBEDTLS_SSL_CONF_SINGLE_EC_TLS_ID == 23 && \

1
include/mbedtls/config.h
View file

@ -2649,6 +2649,7 @@
* MBEDTLS_SSL_CONF_SINGLE_EC
* MBEDTLS_SSL_CONF_SINGLE_EC_TLS_ID == 23
* MBEDTLS_SSL_CONF_SINGLE_UECC_GRP_ID == MBEDTLS_UECC_DP_SECP256R1
* MBEDTLS_SHA256_C
*
* \see MBEDTLS_SSL_CONF_RNG
*

94
include/tinycrypt/ecc.h
View file

@ -87,7 +87,7 @@ extern "C" {
* attacks flipping a low number of bits. */
#define UECC_SUCCESS 0
#define UECC_FAILURE 0x75555555
#define UECC_ATTACK_DETECTED 0x7aaaaaaa
#define UECC_FAULT_DETECTED 0x7aaaaaaa
/* Word size (4 bytes considering 32-bits architectures) */
#define uECC_WORD_SIZE 4
@ -119,23 +119,6 @@ typedef uint64_t uECC_dword_t;
#define NUM_ECC_BYTES (uECC_WORD_SIZE*NUM_ECC_WORDS)
#define NUM_ECC_BITS 256
/* structure that represents an elliptic curve (e.g. p256):*/
struct uECC_Curve_t;
typedef const struct uECC_Curve_t * uECC_Curve;
struct uECC_Curve_t {
wordcount_t num_words;
wordcount_t num_bytes;
bitcount_t num_n_bits;
uECC_word_t p[NUM_ECC_WORDS];
uECC_word_t n[NUM_ECC_WORDS];
uECC_word_t G[NUM_ECC_WORDS * 2];
uECC_word_t b[NUM_ECC_WORDS];
void (*double_jacobian)(uECC_word_t * X1, uECC_word_t * Y1, uECC_word_t * Z1,
uECC_Curve curve);
void (*x_side)(uECC_word_t *result, const uECC_word_t *x, uECC_Curve curve);
void (*mmod_fast)(uECC_word_t *result, uECC_word_t *product);
};
/*
* @brief computes doubling of point ion jacobian coordinates, in place.
* @param X1 IN/OUT -- x coordinate
@ -144,16 +127,7 @@ struct uECC_Curve_t {
* @param curve IN -- elliptic curve
*/
void double_jacobian_default(uECC_word_t * X1, uECC_word_t * Y1,
uECC_word_t * Z1, uECC_Curve curve);
/*
* @brief Computes x^3 + ax + b. result must not overlap x.
* @param result OUT -- x^3 + ax + b
* @param x IN -- value of x
* @param curve IN -- elliptic curve
*/
void x_side_default(uECC_word_t *result, const uECC_word_t *x,
uECC_Curve curve);
uECC_word_t * Z1);
/*
* @brief Computes result = product % curve_p
@ -170,42 +144,10 @@ void vli_mmod_fast_secp256r1(unsigned int *result, unsigned int *product);
((num_bits + ((uECC_WORD_SIZE * 8) - 1)) / (uECC_WORD_SIZE * 8))
#define BITS_TO_BYTES(num_bits) ((num_bits + 7) / 8)
/* definition of curve NIST p-256: */
static const struct uECC_Curve_t curve_secp256r1 = {
NUM_ECC_WORDS,
NUM_ECC_BYTES,
256, /* num_n_bits */ {
BYTES_TO_WORDS_8(FF, FF, FF, FF, FF, FF, FF, FF),
BYTES_TO_WORDS_8(FF, FF, FF, FF, 00, 00, 00, 00),
BYTES_TO_WORDS_8(00, 00, 00, 00, 00, 00, 00, 00),
BYTES_TO_WORDS_8(01, 00, 00, 00, FF, FF, FF, FF)
}, {
BYTES_TO_WORDS_8(51, 25, 63, FC, C2, CA, B9, F3),
BYTES_TO_WORDS_8(84, 9E, 17, A7, AD, FA, E6, BC),
BYTES_TO_WORDS_8(FF, FF, FF, FF, FF, FF, FF, FF),
BYTES_TO_WORDS_8(00, 00, 00, 00, FF, FF, FF, FF)
}, {
BYTES_TO_WORDS_8(96, C2, 98, D8, 45, 39, A1, F4),
BYTES_TO_WORDS_8(A0, 33, EB, 2D, 81, 7D, 03, 77),
BYTES_TO_WORDS_8(F2, 40, A4, 63, E5, E6, BC, F8),
BYTES_TO_WORDS_8(47, 42, 2C, E1, F2, D1, 17, 6B),
BYTES_TO_WORDS_8(F5, 51, BF, 37, 68, 40, B6, CB),
BYTES_TO_WORDS_8(CE, 5E, 31, 6B, 57, 33, CE, 2B),
BYTES_TO_WORDS_8(16, 9E, 0F, 7C, 4A, EB, E7, 8E),
BYTES_TO_WORDS_8(9B, 7F, 1A, FE, E2, 42, E3, 4F)
}, {
BYTES_TO_WORDS_8(4B, 60, D2, 27, 3E, 3C, CE, 3B),
BYTES_TO_WORDS_8(F6, B0, 53, CC, B0, 06, 1D, 65),
BYTES_TO_WORDS_8(BC, 86, 98, 76, 55, BD, EB, B3),
BYTES_TO_WORDS_8(E7, 93, 3A, AA, D8, 35, C6, 5A)
},
&double_jacobian_default,
&x_side_default,
&vli_mmod_fast_secp256r1
};
uECC_Curve uECC_secp256r1(void);
extern const uECC_word_t curve_p[NUM_ECC_WORDS];
extern const uECC_word_t curve_n[NUM_ECC_WORDS];
extern const uECC_word_t curve_G[2 * NUM_ECC_WORDS];
extern const uECC_word_t curve_b[NUM_ECC_WORDS];
/*
* @brief Generates a random integer in the range 0 < random < top.
@ -260,24 +202,24 @@ uECC_RNG_Function uECC_get_rng(void);
* @param curve IN -- elliptic curve
* @return size of a private key for the curve in bytes.
*/
int uECC_curve_private_key_size(uECC_Curve curve);
int uECC_curve_private_key_size(void);
/*
* @brief computes the size of a public key for the curve in bytes.
* @param curve IN -- elliptic curve
* @return the size of a public key for the curve in bytes.
*/
int uECC_curve_public_key_size(uECC_Curve curve);
int uECC_curve_public_key_size(void);
/*
* @brief Compute the corresponding public key for a private key.
* @param private_key IN -- The private key to compute the public key for
* @param public_key OUT -- Will be filled in with the corresponding public key
* @param curve
* @return Returns 1 if key was computed successfully, 0 if an error occurred.
* @return UECC_SUCCESS or UECC_FAILURE or UECC_FAULT_DETECTED
*/
int uECC_compute_public_key(const uint8_t *private_key,
uint8_t *public_key, uECC_Curve curve);
uint8_t *public_key);
/*
* @brief Compute public-key.
@ -285,9 +227,10 @@ int uECC_compute_public_key(const uint8_t *private_key,
* @param result OUT -- public-key
* @param private_key IN -- private-key
* @param curve IN -- elliptic curve
* @return UECC_SUCCESS or UECC_FAILURE or UECC_FAULT_DETECTED
*/
uECC_word_t EccPoint_compute_public_key(uECC_word_t *result,
uECC_word_t *private_key, uECC_Curve curve);
uECC_word_t *private_key);
/*
* @brief Point multiplication algorithm using Montgomery's ladder with co-Z
@ -298,10 +241,10 @@ uECC_word_t EccPoint_compute_public_key(uECC_word_t *result,
* @param result OUT -- returns scalar*point
* @param point IN -- elliptic curve point
* @param scalar IN -- scalar
* @param curve IN -- elliptic curve
* @return UECC_SUCCESS or UECC_FAILURE or UECC_FAULT_DETECTED
*/
int EccPoint_mult_safer(uECC_word_t * result, const uECC_word_t * point,
const uECC_word_t * scalar, uECC_Curve curve);
const uECC_word_t * scalar);
/*
* @brief Constant-time comparison to zero - secure way to compare long integers
@ -314,10 +257,9 @@ uECC_word_t uECC_vli_isZero(const uECC_word_t *vli);
/*
* @brief Check if 'point' is the point at infinity
* @param point IN -- elliptic curve point
* @param curve IN -- elliptic curve
* @return if 'point' is the point at infinity, 0 otherwise.
*/
uECC_word_t EccPoint_isZero(const uECC_word_t *point, uECC_Curve curve);
uECC_word_t EccPoint_isZero(const uECC_word_t *point);
/*
* @brief computes the sign of left - right, in constant time.
@ -362,7 +304,7 @@ void uECC_vli_modSub(uECC_word_t *result, const uECC_word_t *left,
* @param curve IN -- elliptic curve
*/
void XYcZ_add(uECC_word_t * X1, uECC_word_t * Y1, uECC_word_t * X2,
uECC_word_t * Y2, uECC_Curve curve);
uECC_word_t * Y2);
/*
* @brief Computes (x1 * z^2, y1 * z^3)
@ -493,7 +435,7 @@ void uECC_vli_clear(uECC_word_t *vli);
* @exception returns -2 if x or y is smaller than p,
* @exception returns -3 if y^2 != x^3 + ax + b.
*/
int uECC_valid_point(const uECC_word_t *point, uECC_Curve curve);
int uECC_valid_point(const uECC_word_t *point);
/*
* @brief Check if a public key is valid.
@ -509,7 +451,7 @@ int uECC_valid_point(const uECC_word_t *point, uECC_Curve curve);
* time computing a shared secret or verifying a signature using an invalid
* public key.
*/
int uECC_valid_public_key(const uint8_t *public_key, uECC_Curve curve);
int uECC_valid_public_key(const uint8_t *public_key);
/*
* @brief Converts an integer in uECC native format to big-endian bytes.

12
include/tinycrypt/ecc_dh.h
View file

@ -82,8 +82,7 @@ extern "C" {
/**
* @brief Create a public/private key pair.
* @return returns TC_CRYPTO_SUCCESS (1) if the key pair was generated successfully
* returns TC_CRYPTO_FAIL (0) if error while generating key pair
* @return UECC_SUCCESS or UECC_FAILURE or UECC_FAULT_DETECTED
*
* @param p_public_key OUT -- Will be filled in with the public key. Must be at
* least 2 * the curve size (in bytes) long. For curve secp256r1, p_public_key
@ -96,7 +95,7 @@ extern "C" {
* @warning A cryptographically-secure PRNG function must be set (using
* uECC_set_rng()) before calling uECC_make_key().
*/
int uECC_make_key(uint8_t *p_public_key, uint8_t *p_private_key, uECC_Curve curve);
int uECC_make_key(uint8_t *p_public_key, uint8_t *p_private_key);
#ifdef ENABLE_TESTS
@ -107,14 +106,13 @@ int uECC_make_key(uint8_t *p_public_key, uint8_t *p_private_key, uECC_Curve curv
* uECC_make_key() function for real applications.
*/
int uECC_make_key_with_d(uint8_t *p_public_key, uint8_t *p_private_key,
unsigned int *d, uECC_Curve curve);
unsigned int *d);
#endif
/**
* @brief Compute a shared secret given your secret key and someone else's
* public key.
* @return returns TC_CRYPTO_SUCCESS (1) if the shared secret was computed successfully
* returns TC_CRYPTO_FAIL (0) otherwise
* @return UECC_SUCCESS or UECC_FAILURE or UECC_FAULT_DETECTED
*
* @param p_secret OUT -- Will be filled in with the shared secret value. Must be
* the same size as the curve size (for curve secp256r1, secret must be 32 bytes
@ -127,7 +125,7 @@ int uECC_make_key_with_d(uint8_t *p_public_key, uint8_t *p_private_key,
* order to produce a cryptographically secure symmetric key.
*/
int uECC_shared_secret(const uint8_t *p_public_key, const uint8_t *p_private_key,
uint8_t *p_secret, uECC_Curve curve);
uint8_t *p_secret);
#ifdef __cplusplus
}

10
include/tinycrypt/ecc_dsa.h
View file

@ -91,8 +91,7 @@ extern "C" {
/**
* @brief Generate an ECDSA signature for a given hash value.
* @return returns TC_CRYPTO_SUCCESS (1) if the signature generated successfully
* returns TC_CRYPTO_FAIL (0) if an error occurred.
* @return UECC_SUCCESS or UECC_FAILURE or UECC_FAULT_DETECTED
*
* @param p_private_key IN -- Your private key.
* @param p_message_hash IN -- The hash of the message to sign.
@ -108,7 +107,7 @@ extern "C" {
* attack.
*/
int uECC_sign(const uint8_t *p_private_key, const uint8_t *p_message_hash,
unsigned p_hash_size, uint8_t *p_signature, uECC_Curve curve);
unsigned p_hash_size, uint8_t *p_signature);
#ifdef ENABLE_TESTS
/*
@ -116,8 +115,7 @@ int uECC_sign(const uint8_t *p_private_key, const uint8_t *p_message_hash,
* Refer to uECC_sign() function for real applications.
*/
int uECC_sign_with_k(const uint8_t *private_key, const uint8_t *message_hash,
unsigned int hash_size, uECC_word_t *k, uint8_t *signature,
uECC_Curve curve);
unsigned int hash_size, uECC_word_t *k, uint8_t *signature)
#endif
/**
@ -135,7 +133,7 @@ int uECC_sign_with_k(const uint8_t *private_key, const uint8_t *message_hash,
* the signature values (hash_size and signature).
*/
int uECC_verify(const uint8_t *p_public_key, const uint8_t *p_message_hash,
unsigned int p_hash_size, const uint8_t *p_signature, uECC_Curve curve);
unsigned int p_hash_size, const uint8_t *p_signature);
#ifdef __cplusplus
}

13
library/pk.c
View file

@ -580,7 +580,6 @@ static int uecc_eckey_verify_wrap( void *ctx, mbedtls_md_type_t md_alg,
volatile int ret_fi;
uint8_t signature[2*NUM_ECC_BYTES];
unsigned char *p;
const struct uECC_Curve_t * uecc_curve = uECC_secp256r1();
const mbedtls_uecc_keypair *keypair = (const mbedtls_uecc_keypair *) ctx;
((void) md_alg);
@ -591,9 +590,9 @@ static int uecc_eckey_verify_wrap( void *ctx, mbedtls_md_type_t md_alg,
return( ret );
ret_fi = uECC_verify( keypair->public_key, hash,
(unsigned) hash_len, signature, uecc_curve );
(unsigned) hash_len, signature );
if( ret_fi == UECC_ATTACK_DETECTED )
if( ret_fi == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret_fi == UECC_SUCCESS )
@ -704,7 +703,6 @@ static int uecc_eckey_sign_wrap( void *ctx, mbedtls_md_type_t md_alg,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
const mbedtls_uecc_keypair *keypair = (const mbedtls_uecc_keypair *) ctx;
const struct uECC_Curve_t * uecc_curve = uECC_secp256r1();
int ret;
/*
@ -724,9 +722,10 @@ static int uecc_eckey_sign_wrap( void *ctx, mbedtls_md_type_t md_alg,
*/
#define MAX_SECP256R1_ECDSA_SIG_LEN ( 3 + 2 * ( 3 + NUM_ECC_BYTES ) )
ret = uECC_sign( keypair->private_key, hash, hash_len, sig, uecc_curve );
/* TinyCrypt uses 0 to signal errors. */
if( ret == 0 )
ret = uECC_sign( keypair->private_key, hash, hash_len, sig );
if( ret == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret != UECC_SUCCESS )
return( MBEDTLS_ERR_PK_HW_ACCEL_FAILED );
*sig_len = 2 * NUM_ECC_BYTES;

7
library/pkparse.c
View file

@ -986,9 +986,10 @@ static int pk_parse_key_sec1_der( mbedtls_uecc_keypair *keypair,
if( !pubkey_done )
{
ret = uECC_compute_public_key( keypair->private_key,
keypair->public_key,
uECC_secp256r1() );
if( ret == 0 )
keypair->public_key );
if( ret == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret != UECC_SUCCESS )
return( MBEDTLS_ERR_PK_KEY_INVALID_FORMAT );
}

20
library/ssl_cli.c
View file

@ -3567,9 +3567,7 @@ static int ssl_out_client_key_exchange_write( mbedtls_ssl_context *ssl,
== MBEDTLS_KEY_EXCHANGE_ECDH_ECDSA )
{
const struct uECC_Curve_t * uecc_curve = uECC_secp256r1();
((void) n);
((void) ret);
if( (size_t)( end - p ) < 2 * NUM_ECC_BYTES + 2 )
return( MBEDTLS_ERR_SSL_BUFFER_TOO_SMALL );
@ -3577,11 +3575,11 @@ static int ssl_out_client_key_exchange_write( mbedtls_ssl_context *ssl,
*p++ = 2 * NUM_ECC_BYTES + 1;
*p++ = 0x04; /* uncompressed point presentation */
if( !uECC_make_key( p, ssl->handshake->ecdh_privkey,
uecc_curve ) )
{
ret = uECC_make_key( p, ssl->handshake->ecdh_privkey );
if( ret == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret != UECC_SUCCESS )
return( MBEDTLS_ERR_SSL_HW_ACCEL_FAILED );
}
p += 2 * NUM_ECC_BYTES;
}
else
@ -3718,9 +3716,7 @@ static int ssl_out_client_key_exchange_write( mbedtls_ssl_context *ssl,
== MBEDTLS_KEY_EXCHANGE_ECDHE_PSK )
{
#if defined(MBEDTLS_USE_TINYCRYPT)
const struct uECC_Curve_t * uecc_curve = uECC_secp256r1();
((void) n);
((void) ret);
if( (size_t)( end - p ) < 2 * NUM_ECC_BYTES + 2 )
return( MBEDTLS_ERR_SSL_BUFFER_TOO_SMALL );
@ -3728,11 +3724,11 @@ static int ssl_out_client_key_exchange_write( mbedtls_ssl_context *ssl,
*p++ = 2 * NUM_ECC_BYTES + 1;
*p++ = 0x04; /* uncompressed point presentation */
if( !uECC_make_key( p, ssl->handshake->ecdh_privkey,
uecc_curve ) )
{
ret = uECC_make_key( p, ssl->handshake->ecdh_privkey );
if( ret == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret != UECC_SUCCESS )
return( MBEDTLS_ERR_SSL_HW_ACCEL_FAILED );
}
p += 2 * NUM_ECC_BYTES;
#else /* MBEDTLS_USE_TINYCRYPT */
/*

17
library/ssl_srv.c
View file

@ -3279,9 +3279,6 @@ static int ssl_prepare_server_key_exchange( mbedtls_ssl_context *ssl,
unsigned char *dig_signed = NULL;
#endif /* MBEDTLS_KEY_EXCHANGE__WITH_SERVER_SIGNATURE__ENABLED */
#endif /* MBEDTLS_KEY_EXCHANGE__SOME_PFS__ENABLED */
#if defined(MBEDTLS_USE_TINYCRYPT)
const struct uECC_Curve_t * uecc_curve = uECC_secp256r1();
#endif
(void) ciphersuite_info; /* unused in some configurations */
#if !defined(MBEDTLS_KEY_EXCHANGE__WITH_SERVER_SIGNATURE__ENABLED)
@ -3413,6 +3410,7 @@ static int ssl_prepare_server_key_exchange( mbedtls_ssl_context *ssl,
#if defined(MBEDTLS_USE_TINYCRYPT)
{
int ret;
static const unsigned char ecdh_param_hdr[] = {
MBEDTLS_SSL_EC_TLS_NAMED_CURVE,
0 /* high bits of secp256r1 TLS ID */,
@ -3429,13 +3427,12 @@ static int ssl_prepare_server_key_exchange( mbedtls_ssl_context *ssl,
ecdh_param_hdr, sizeof( ecdh_param_hdr ) );
ssl->out_msglen += sizeof( ecdh_param_hdr );
if( !uECC_make_key( &ssl->out_msg[ ssl->out_msglen ],
ssl->handshake->ecdh_privkey,
uecc_curve ) )
{
MBEDTLS_SSL_DEBUG_MSG( 1, ( "Key creation failed" ) );
return( MBEDTLS_ERR_SSL_INTERNAL_ERROR );
}
ret = uECC_make_key( &ssl->out_msg[ ssl->out_msglen ],
ssl->handshake->ecdh_privkey );
if( ret == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret != UECC_SUCCESS )
return( MBEDTLS_ERR_SSL_HW_ACCEL_FAILED );
ssl->out_msglen += 2*NUM_ECC_BYTES;
}

26
library/ssl_tls.c
View file

@ -1973,16 +1973,13 @@ int mbedtls_ssl_build_pms( mbedtls_ssl_context *ssl )
mbedtls_ssl_suite_get_key_exchange( ciphersuite_info )
== MBEDTLS_KEY_EXCHANGE_ECDH_ECDSA )
{
const struct uECC_Curve_t * uecc_curve = uECC_secp256r1();
((void) ret);
if( !uECC_shared_secret( ssl->handshake->ecdh_peerkey,
ret = uECC_shared_secret( ssl->handshake->ecdh_peerkey,
ssl->handshake->ecdh_privkey,
ssl->handshake->premaster,
uecc_curve ) )
{
ssl->handshake->premaster );
if( ret == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret != UECC_SUCCESS )
return( MBEDTLS_ERR_SSL_HW_ACCEL_FAILED );
}
ssl->handshake->pmslen = NUM_ECC_BYTES;
}
@ -2170,16 +2167,13 @@ int mbedtls_ssl_psk_derive_premaster( mbedtls_ssl_context *ssl, mbedtls_key_exch
size_t zlen;
#if defined(MBEDTLS_USE_TINYCRYPT)
const struct uECC_Curve_t * uecc_curve = uECC_secp256r1();
((void) ret);
if( !uECC_shared_secret( ssl->handshake->ecdh_peerkey,
ret = uECC_shared_secret( ssl->handshake->ecdh_peerkey,
ssl->handshake->ecdh_privkey,
p + 2,
uecc_curve ) )
{
p + 2 );
if( ret == UECC_FAULT_DETECTED )
return( MBEDTLS_ERR_PLATFORM_FAULT_DETECTED );
if( ret != UECC_SUCCESS )
return( MBEDTLS_ERR_SSL_HW_ACCEL_FAILED );
}
zlen = NUM_ECC_BYTES;
#else /* MBEDTLS_USE_TINYCRYPT */

5
tests/suites/test_suite_pk.function
View file

@ -35,9 +35,8 @@ static int pk_genkey( mbedtls_pk_context *pk )
int ret;
ret = uECC_make_key( mbedtls_pk_uecc( *pk )->public_key,
mbedtls_pk_uecc( *pk )->private_key,
uECC_secp256r1() );
if( ret == 0 )
mbedtls_pk_uecc( *pk )->private_key );
if( ret != UECC_SUCCESS )
return( -1 );
return( 0 );

9
tests/suites/test_suite_pkparse.function
View file

@ -93,8 +93,7 @@ void pk_parse_public_keyfile_ec( char * key_file, int result )
TEST_ASSERT( mbedtls_ecp_check_pubkey( &eckey->grp, &eckey->Q ) == 0 );
#else
uecckey = mbedtls_pk_uecc( ctx );
TEST_ASSERT( uECC_valid_public_key( uecckey->public_key,
uECC_secp256r1() ) == 0 );
TEST_ASSERT( uECC_valid_public_key( uecckey->public_key ) == 0 );
#endif /* MBEDTLS_USE_TINYCRYPT */
}
@ -136,11 +135,9 @@ void pk_parse_keyfile_ec( char * key_file, char * password, int result )
TEST_ASSERT( mbedtls_ecp_check_privkey( &eckey->grp, &eckey->d ) == 0 );
#else
uecckey = mbedtls_pk_uecc( ctx );
TEST_ASSERT( uECC_valid_public_key( uecckey->public_key,
uECC_secp256r1() ) == 0 );
TEST_ASSERT( uECC_valid_public_key( uecckey->public_key ) == 0 );
TEST_ASSERT( uECC_compute_public_key( uecckey->private_key,
tmp_pubkey,
uECC_secp256r1() ) != 0 );
tmp_pubkey ) == UECC_SUCCESS );
TEST_ASSERT( memcmp( tmp_pubkey, uecckey->public_key,
sizeof( tmp_pubkey ) ) == 0 );
#endif /* MBEDTLS_USE_TINYCRYPT */

28
tests/suites/test_suite_tinycrypt.function
View file

@ -21,17 +21,15 @@ void test_ecdh()
uint8_t secret1[NUM_ECC_BYTES] = {0};
uint8_t secret2[NUM_ECC_BYTES] = {0};
const struct uECC_Curve_t * curve = uECC_secp256r1();
uECC_set_rng( &uecc_rng_wrapper );
TEST_ASSERT( uECC_make_key( public1, private1, curve ) != 0 );
TEST_ASSERT( uECC_make_key( public1, private1 ) == UECC_SUCCESS );
TEST_ASSERT( uECC_make_key( public2, private2, curve ) != 0 );
TEST_ASSERT( uECC_make_key( public2, private2 ) == UECC_SUCCESS );
TEST_ASSERT( uECC_shared_secret( public2, private1, secret1, curve ) != 0 );
TEST_ASSERT( uECC_shared_secret( public2, private1, secret1 ) == UECC_SUCCESS );
TEST_ASSERT( uECC_shared_secret( public1, private2, secret2, curve ) != 0 );
TEST_ASSERT( uECC_shared_secret( public1, private2, secret2 ) == UECC_SUCCESS );
TEST_ASSERT( memcmp( secret1, secret2, sizeof( secret1 ) ) == 0 );
}
@ -45,17 +43,15 @@ void test_ecdsa()
uint8_t hash[NUM_ECC_BYTES] = {0};
uint8_t sig[2*NUM_ECC_BYTES] = {0};
const struct uECC_Curve_t * curve = uECC_secp256r1();
uECC_set_rng( &uecc_rng_wrapper );
TEST_ASSERT( rnd_std_rand( NULL, hash, NUM_ECC_BYTES ) == 0 );
TEST_ASSERT( uECC_make_key( public, private, curve ) != 0 );
TEST_ASSERT( uECC_make_key( public, private ) == UECC_SUCCESS );
TEST_ASSERT( uECC_sign( private, hash, sizeof( hash ), sig, curve ) != 0 );
TEST_ASSERT( uECC_sign( private, hash, sizeof( hash ), sig ) == UECC_SUCCESS );
TEST_ASSERT( uECC_verify( public, hash, sizeof( hash ), sig, curve ) == UECC_SUCCESS );
TEST_ASSERT( uECC_verify( public, hash, sizeof( hash ), sig ) == UECC_SUCCESS );
}
/* END_CASE */
@ -64,7 +60,6 @@ void ecdh_primitive_testvec( data_t * private1, data_t * xA_str,
data_t * yA_str, data_t * private2,
data_t * xB_str, data_t * yB_str, data_t * z_str )
{
const struct uECC_Curve_t * curve = uECC_secp256r1();
uint8_t public1[2*NUM_ECC_BYTES] = {0};
uint8_t public2[2*NUM_ECC_BYTES] = {0};
uint8_t secret1[NUM_ECC_BYTES] = {0};
@ -76,9 +71,9 @@ void ecdh_primitive_testvec( data_t * private1, data_t * xA_str,
memcpy( public2 + NUM_ECC_BYTES, yB_str->x, yB_str->len );
// Compute shared secrets and compare to test vector secret
TEST_ASSERT( uECC_shared_secret( public2, private1->x, secret1, curve ) != 0 );
TEST_ASSERT( uECC_shared_secret( public2, private1->x, secret1 ) == UECC_SUCCESS );
TEST_ASSERT( uECC_shared_secret( public1, private2->x, secret2, curve ) != 0 );
TEST_ASSERT( uECC_shared_secret( public1, private2->x, secret2 ) == UECC_SUCCESS );
TEST_ASSERT( memcmp( secret1, secret2, sizeof( secret1 ) ) == 0 );
TEST_ASSERT( memcmp( secret1, z_str->x, sizeof( secret1 ) ) == 0 );
@ -90,7 +85,6 @@ void ecdh_primitive_testvec( data_t * private1, data_t * xA_str,
void ecdsa_primitive_testvec( data_t * xQ_str, data_t * yQ_str,
data_t * hash, data_t * r_str, data_t * s_str )
{
const struct uECC_Curve_t * curve = uECC_secp256r1();
uint8_t pub_bytes[2*NUM_ECC_BYTES] = {0};
uint8_t sig_bytes[2*NUM_ECC_BYTES] = {0};
@ -100,7 +94,7 @@ void ecdsa_primitive_testvec( data_t * xQ_str, data_t * yQ_str,
memcpy( sig_bytes + NUM_ECC_BYTES, s_str->x, r_str->len );
TEST_ASSERT( uECC_verify( pub_bytes, hash->x, hash->len,
sig_bytes, curve ) == UECC_SUCCESS );
sig_bytes ) == UECC_SUCCESS );
// Alter the signature and check the verification fails
for( int i = 0; i < 2*NUM_ECC_BYTES; i++ )
@ -108,7 +102,7 @@ void ecdsa_primitive_testvec( data_t * xQ_str, data_t * yQ_str,
uint8_t temp = sig_bytes[i];
sig_bytes[i] = ( sig_bytes[i] + 1 ) % 256;
TEST_ASSERT( uECC_verify( pub_bytes, hash->x, hash->len,
sig_bytes, curve ) == UECC_FAILURE );
sig_bytes ) == UECC_FAILURE );
sig_bytes[i] = temp;
}

388
tinycrypt/ecc.c
View file

@ -65,8 +65,115 @@
#include <tinycrypt/ecc.h>
#include "mbedtls/platform_util.h"
#include "mbedtls/sha256.h"
#include <string.h>
/* Parameters for curve NIST P-256 aka secp256r1 */
const uECC_word_t curve_p[NUM_ECC_WORDS] = {
BYTES_TO_WORDS_8(FF, FF, FF, FF, FF, FF, FF, FF),
BYTES_TO_WORDS_8(FF, FF, FF, FF, 00, 00, 00, 00),
BYTES_TO_WORDS_8(00, 00, 00, 00, 00, 00, 00, 00),
BYTES_TO_WORDS_8(01, 00, 00, 00, FF, FF, FF, FF)
};
const uECC_word_t curve_n[NUM_ECC_WORDS] = {
BYTES_TO_WORDS_8(51, 25, 63, FC, C2, CA, B9, F3),
BYTES_TO_WORDS_8(84, 9E, 17, A7, AD, FA, E6, BC),
BYTES_TO_WORDS_8(FF, FF, FF, FF, FF, FF, FF, FF),
BYTES_TO_WORDS_8(00, 00, 00, 00, FF, FF, FF, FF)
};
const uECC_word_t curve_G[2 * NUM_ECC_WORDS] = {
BYTES_TO_WORDS_8(96, C2, 98, D8, 45, 39, A1, F4),
BYTES_TO_WORDS_8(A0, 33, EB, 2D, 81, 7D, 03, 77),
BYTES_TO_WORDS_8(F2, 40, A4, 63, E5, E6, BC, F8),
BYTES_TO_WORDS_8(47, 42, 2C, E1, F2, D1, 17, 6B),
BYTES_TO_WORDS_8(F5, 51, BF, 37, 68, 40, B6, CB),
BYTES_TO_WORDS_8(CE, 5E, 31, 6B, 57, 33, CE, 2B),
BYTES_TO_WORDS_8(16, 9E, 0F, 7C, 4A, EB, E7, 8E),
BYTES_TO_WORDS_8(9B, 7F, 1A, FE, E2, 42, E3, 4F)
};
const uECC_word_t curve_b[NUM_ECC_WORDS] = {
BYTES_TO_WORDS_8(4B, 60, D2, 27, 3E, 3C, CE, 3B),
BYTES_TO_WORDS_8(F6, B0, 53, CC, B0, 06, 1D, 65),
BYTES_TO_WORDS_8(BC, 86, 98, 76, 55, BD, EB, B3),
BYTES_TO_WORDS_8(E7, 93, 3A, AA, D8, 35, C6, 5A)
};
static int uECC_update_param_sha256(mbedtls_sha256_context *ctx,
const uECC_word_t val[NUM_ECC_WORDS])
{
uint8_t bytes[NUM_ECC_BYTES];
uECC_vli_nativeToBytes(bytes, NUM_ECC_BYTES, val);
return mbedtls_sha256_update_ret(ctx, bytes, NUM_ECC_BYTES);
}
static int uECC_compute_param_sha256(unsigned char output[32])
{
int ret = UECC_FAILURE;
mbedtls_sha256_context ctx;
mbedtls_sha256_init( &ctx );
if (mbedtls_sha256_starts_ret(&ctx, 0) != 0) {
goto exit;
}
if (uECC_update_param_sha256(&ctx, curve_p) != 0 ||
uECC_update_param_sha256(&ctx, curve_n) != 0 ||
uECC_update_param_sha256(&ctx, curve_G) != 0 ||
uECC_update_param_sha256(&ctx, curve_G + NUM_ECC_WORDS) != 0 ||
uECC_update_param_sha256(&ctx, curve_b) != 0)
{
goto exit;
}
if (mbedtls_sha256_finish_ret(&ctx, output) != 0) {
goto exit;
}
ret = UECC_SUCCESS;
exit:
mbedtls_sha256_free( &ctx );
return ret;
}
/*
* Check integrity of curve parameters.
* Return 0 if everything's OK, non-zero otherwise.
*/
static int uECC_check_curve_integrity(void)
{
unsigned char computed[32];
static const unsigned char reference[32] = {
0x2d, 0xa1, 0xa4, 0x64, 0x45, 0x28, 0x0d, 0xe1,
0x93, 0xf9, 0x29, 0x2f, 0xac, 0x3e, 0xe2, 0x92,
0x76, 0x0a, 0xe2, 0xbc, 0xce, 0x2a, 0xa2, 0xc6,
0x38, 0xf2, 0x19, 0x1d, 0x76, 0x72, 0x93, 0x49,
};
unsigned char diff = 0;
unsigned char tmp1, tmp2;
volatile unsigned i;
if (uECC_compute_param_sha256(computed) != UECC_SUCCESS) {
return UECC_FAILURE;
}
for (i = 0; i < 32; i++) {
/* make sure the order of volatile accesses is well-defined */
tmp1 = computed[i];
tmp2 = reference[i];
diff |= tmp1 ^ tmp2;
}
/* i should be 32 */
mbedtls_platform_enforce_volatile_reads();
diff |= (unsigned char) i ^ 32;
return diff;
}
/* IMPORTANT: Make sure a cryptographically-secure PRNG is set and the platform
* has access to enough entropy in order to feed the PRNG regularly. */
#if default_RNG_defined
@ -85,14 +192,14 @@ uECC_RNG_Function uECC_get_rng(void)
return g_rng_function;
}
int uECC_curve_private_key_size(uECC_Curve curve)
int uECC_curve_private_key_size(void)
{
return BITS_TO_BYTES(curve->num_n_bits);
return BITS_TO_BYTES(NUM_ECC_BITS);
}
int uECC_curve_public_key_size(uECC_Curve curve)
int uECC_curve_public_key_size(void)
{
return 2 * curve->num_bytes;
return 2 * NUM_ECC_BYTES;
}
void uECC_vli_clear(uECC_word_t *vli)
@ -179,11 +286,19 @@ uECC_word_t uECC_vli_equal(const uECC_word_t *left, const uECC_word_t *right)
{
uECC_word_t diff = 0;
wordcount_t i;
uECC_word_t tmp1, tmp2;
volatile int i;
for (i = NUM_ECC_WORDS - 1; i >= 0; --i) {
diff |= (left[i] ^ right[i]);
tmp1 = left[i];
tmp2 = right[i];
diff |= (tmp1 ^ tmp2);
}
/* i should be -1 now */
mbedtls_platform_enforce_volatile_reads();
diff |= i ^ -1;
return diff;
}
@ -575,12 +690,12 @@ void uECC_vli_modInv(uECC_word_t *result, const uECC_word_t *input,
/* ------ Point operations ------ */
void double_jacobian_default(uECC_word_t * X1, uECC_word_t * Y1,
uECC_word_t * Z1, uECC_Curve curve)
uECC_word_t * Z1)
{
/* t1 = X, t2 = Y, t3 = Z */
uECC_word_t t4[NUM_ECC_WORDS];
uECC_word_t t5[NUM_ECC_WORDS];
wordcount_t num_words = curve->num_words;
wordcount_t num_words = NUM_ECC_WORDS;
if (uECC_vli_isZero(Z1)) {
return;
@ -592,15 +707,15 @@ void double_jacobian_default(uECC_word_t * X1, uECC_word_t * Y1,
uECC_vli_modMult_fast(Y1, Y1, Z1); /* t2 = y1*z1 = z3 */
uECC_vli_modMult_fast(Z1, Z1, Z1); /* t3 = z1^2 */
uECC_vli_modAdd(X1, X1, Z1, curve->p); /* t1 = x1 + z1^2 */
uECC_vli_modAdd(Z1, Z1, Z1, curve->p); /* t3 = 2*z1^2 */
uECC_vli_modSub(Z1, X1, Z1, curve->p); /* t3 = x1 - z1^2 */
uECC_vli_modAdd(X1, X1, Z1, curve_p); /* t1 = x1 + z1^2 */
uECC_vli_modAdd(Z1, Z1, Z1, curve_p); /* t3 = 2*z1^2 */
uECC_vli_modSub(Z1, X1, Z1, curve_p); /* t3 = x1 - z1^2 */
uECC_vli_modMult_fast(X1, X1, Z1); /* t1 = x1^2 - z1^4 */
uECC_vli_modAdd(Z1, X1, X1, curve->p); /* t3 = 2*(x1^2 - z1^4) */
uECC_vli_modAdd(X1, X1, Z1, curve->p); /* t1 = 3*(x1^2 - z1^4) */
uECC_vli_modAdd(Z1, X1, X1, curve_p); /* t3 = 2*(x1^2 - z1^4) */
uECC_vli_modAdd(X1, X1, Z1, curve_p); /* t1 = 3*(x1^2 - z1^4) */
if (uECC_vli_testBit(X1, 0)) {
uECC_word_t l_carry = uECC_vli_add(X1, X1, curve->p);
uECC_word_t l_carry = uECC_vli_add(X1, X1, curve_p);
uECC_vli_rshift1(X1);
X1[num_words - 1] |= l_carry << (uECC_WORD_BITS - 1);
} else {
@ -609,34 +724,34 @@ void double_jacobian_default(uECC_word_t * X1, uECC_word_t * Y1,
/* t1 = 3/2*(x1^2 - z1^4) = B */
uECC_vli_modMult_fast(Z1, X1, X1); /* t3 = B^2 */
uECC_vli_modSub(Z1, Z1, t5, curve->p); /* t3 = B^2 - A */
uECC_vli_modSub(Z1, Z1, t5, curve->p); /* t3 = B^2 - 2A = x3 */
uECC_vli_modSub(t5, t5, Z1, curve->p); /* t5 = A - x3 */
uECC_vli_modSub(Z1, Z1, t5, curve_p); /* t3 = B^2 - A */
uECC_vli_modSub(Z1, Z1, t5, curve_p); /* t3 = B^2 - 2A = x3 */
uECC_vli_modSub(t5, t5, Z1, curve_p); /* t5 = A - x3 */
uECC_vli_modMult_fast(X1, X1, t5); /* t1 = B * (A - x3) */
/* t4 = B * (A - x3) - y1^4 = y3: */
uECC_vli_modSub(t4, X1, t4, curve->p);
uECC_vli_modSub(t4, X1, t4, curve_p);
uECC_vli_set(X1, Z1);
uECC_vli_set(Z1, Y1);
uECC_vli_set(Y1, t4);
}
void x_side_default(uECC_word_t *result,
const uECC_word_t *x,
uECC_Curve curve)
/*
* @brief Computes x^3 + ax + b. result must not overlap x.
* @param result OUT -- x^3 + ax + b
* @param x IN -- value of x
* @param curve IN -- elliptic curve
*/
static void x_side_default(uECC_word_t *result,
const uECC_word_t *x)
{
uECC_word_t _3[NUM_ECC_WORDS] = {3}; /* -a = 3 */
uECC_vli_modMult_fast(result, x, x); /* r = x^2 */
uECC_vli_modSub(result, result, _3, curve->p); /* r = x^2 - 3 */
uECC_vli_modSub(result, result, _3, curve_p); /* r = x^2 - 3 */
uECC_vli_modMult_fast(result, result, x); /* r = x^3 - 3x */
/* r = x^3 - 3x + b: */
uECC_vli_modAdd(result, result, curve->b, curve->p);
}
uECC_Curve uECC_secp256r1(void)
{
return &curve_secp256r1;
uECC_vli_modAdd(result, result, curve_b, curve_p);
}
void vli_mmod_fast_secp256r1(unsigned int *result, unsigned int*product)
@ -729,20 +844,19 @@ void vli_mmod_fast_secp256r1(unsigned int *result, unsigned int*product)
if (carry < 0) {
do {
carry += uECC_vli_add(result, result, curve_secp256r1.p);
carry += uECC_vli_add(result, result, curve_p);
}
while (carry < 0);
} else {
while (carry ||
uECC_vli_cmp_unsafe(curve_secp256r1.p, result) != 1) {
carry -= uECC_vli_sub(result, result, curve_secp256r1.p);
uECC_vli_cmp_unsafe(curve_p, result) != 1) {
carry -= uECC_vli_sub(result, result, curve_p);
}
}
}
uECC_word_t EccPoint_isZero(const uECC_word_t *point, uECC_Curve curve)
uECC_word_t EccPoint_isZero(const uECC_word_t *point)
{
(void) curve;
return uECC_vli_isZero(point);
}
@ -759,8 +873,7 @@ void apply_z(uECC_word_t * X1, uECC_word_t * Y1, const uECC_word_t * const Z)
/* P = (x1, y1) => 2P, (x2, y2) => P' */
static void XYcZ_initial_double(uECC_word_t * X1, uECC_word_t * Y1,
uECC_word_t * X2, uECC_word_t * Y2,
const uECC_word_t * const initial_Z,
uECC_Curve curve)
const uECC_word_t * const initial_Z)
{
uECC_word_t z[NUM_ECC_WORDS];
if (initial_Z) {
@ -774,7 +887,7 @@ static void XYcZ_initial_double(uECC_word_t * X1, uECC_word_t * Y1,
uECC_vli_set(Y2, Y1);
apply_z(X1, Y1, z);
curve->double_jacobian(X1, Y1, z, curve);
double_jacobian_default(X1, Y1, z);
apply_z(X2, Y2, z);
}
@ -784,31 +897,28 @@ static void XYcZ_add_rnd(uECC_word_t * X1, uECC_word_t * Y1,
{
/* t1 = X1, t2 = Y1, t3 = X2, t4 = Y2 */
uECC_word_t t5[NUM_ECC_WORDS];
const uECC_Curve curve = &curve_secp256r1;
uECC_vli_modSub(t5, X2, X1, curve->p); /* t5 = x2 - x1 */
uECC_vli_modSub(t5, X2, X1, curve_p); /* t5 = x2 - x1 */
uECC_vli_modMult_rnd(t5, t5, t5, s); /* t5 = (x2 - x1)^2 = A */
uECC_vli_modMult_rnd(X1, X1, t5, s); /* t1 = x1*A = B */
uECC_vli_modMult_rnd(X2, X2, t5, s); /* t3 = x2*A = C */
uECC_vli_modSub(Y2, Y2, Y1, curve->p); /* t4 = y2 - y1 */
uECC_vli_modSub(Y2, Y2, Y1, curve_p); /* t4 = y2 - y1 */
uECC_vli_modMult_rnd(t5, Y2, Y2, s); /* t5 = (y2 - y1)^2 = D */
uECC_vli_modSub(t5, t5, X1, curve->p); /* t5 = D - B */
uECC_vli_modSub(t5, t5, X2, curve->p); /* t5 = D - B - C = x3 */
uECC_vli_modSub(X2, X2, X1, curve->p); /* t3 = C - B */
uECC_vli_modSub(t5, t5, X1, curve_p); /* t5 = D - B */
uECC_vli_modSub(t5, t5, X2, curve_p); /* t5 = D - B - C = x3 */
uECC_vli_modSub(X2, X2, X1, curve_p); /* t3 = C - B */
uECC_vli_modMult_rnd(Y1, Y1, X2, s); /* t2 = y1*(C - B) */
uECC_vli_modSub(X2, X1, t5, curve->p); /* t3 = B - x3 */
uECC_vli_modSub(X2, X1, t5, curve_p); /* t3 = B - x3 */
uECC_vli_modMult_rnd(Y2, Y2, X2, s); /* t4 = (y2 - y1)*(B - x3) */
uECC_vli_modSub(Y2, Y2, Y1, curve->p); /* t4 = y3 */
uECC_vli_modSub(Y2, Y2, Y1, curve_p); /* t4 = y3 */
uECC_vli_set(X2, t5);
}
void XYcZ_add(uECC_word_t * X1, uECC_word_t * Y1,
uECC_word_t * X2, uECC_word_t * Y2,
uECC_Curve curve)
uECC_word_t * X2, uECC_word_t * Y2)
{
(void) curve;
XYcZ_add_rnd(X1, Y1, X2, Y2, NULL);
}
@ -824,32 +934,31 @@ static void XYcZ_addC_rnd(uECC_word_t * X1, uECC_word_t * Y1,
uECC_word_t t5[NUM_ECC_WORDS];
uECC_word_t t6[NUM_ECC_WORDS];
uECC_word_t t7[NUM_ECC_WORDS];
const uECC_Curve curve = &curve_secp256r1;
uECC_vli_modSub(t5, X2, X1, curve->p); /* t5 = x2 - x1 */
uECC_vli_modSub(t5, X2, X1, curve_p); /* t5 = x2 - x1 */
uECC_vli_modMult_rnd(t5, t5, t5, s); /* t5 = (x2 - x1)^2 = A */
uECC_vli_modMult_rnd(X1, X1, t5, s); /* t1 = x1*A = B */
uECC_vli_modMult_rnd(X2, X2, t5, s); /* t3 = x2*A = C */
uECC_vli_modAdd(t5, Y2, Y1, curve->p); /* t5 = y2 + y1 */
uECC_vli_modSub(Y2, Y2, Y1, curve->p); /* t4 = y2 - y1 */
uECC_vli_modAdd(t5, Y2, Y1, curve_p); /* t5 = y2 + y1 */
uECC_vli_modSub(Y2, Y2, Y1, curve_p); /* t4 = y2 - y1 */
uECC_vli_modSub(t6, X2, X1, curve->p); /* t6 = C - B */
uECC_vli_modSub(t6, X2, X1, curve_p); /* t6 = C - B */
uECC_vli_modMult_rnd(Y1, Y1, t6, s); /* t2 = y1 * (C - B) = E */
uECC_vli_modAdd(t6, X1, X2, curve->p); /* t6 = B + C */
uECC_vli_modAdd(t6, X1, X2, curve_p); /* t6 = B + C */
uECC_vli_modMult_rnd(X2, Y2, Y2, s); /* t3 = (y2 - y1)^2 = D */
uECC_vli_modSub(X2, X2, t6, curve->p); /* t3 = D - (B + C) = x3 */
uECC_vli_modSub(X2, X2, t6, curve_p); /* t3 = D - (B + C) = x3 */
uECC_vli_modSub(t7, X1, X2, curve->p); /* t7 = B - x3 */
uECC_vli_modSub(t7, X1, X2, curve_p); /* t7 = B - x3 */
uECC_vli_modMult_rnd(Y2, Y2, t7, s); /* t4 = (y2 - y1)*(B - x3) */
/* t4 = (y2 - y1)*(B - x3) - E = y3: */
uECC_vli_modSub(Y2, Y2, Y1, curve->p);
uECC_vli_modSub(Y2, Y2, Y1, curve_p);
uECC_vli_modMult_rnd(t7, t5, t5, s); /* t7 = (y2 + y1)^2 = F */
uECC_vli_modSub(t7, t7, t6, curve->p); /* t7 = F - (B + C) = x3' */
uECC_vli_modSub(t6, t7, X1, curve->p); /* t6 = x3' - B */
uECC_vli_modSub(t7, t7, t6, curve_p); /* t7 = F - (B + C) = x3' */
uECC_vli_modSub(t6, t7, X1, curve_p); /* t6 = x3' - B */
uECC_vli_modMult_rnd(t6, t6, t5, s); /* t6 = (y2+y1)*(x3' - B) */
/* t2 = (y2+y1)*(x3' - B) - E = y3': */
uECC_vli_modSub(Y1, t6, Y1, curve->p);
uECC_vli_modSub(Y1, t6, Y1, curve_p);
uECC_vli_set(X1, t7);
}
@ -866,14 +975,13 @@ static void EccPoint_mult(uECC_word_t * result, const uECC_word_t * point,
uECC_word_t nb;
const wordcount_t num_words = NUM_ECC_WORDS;
const bitcount_t num_bits = NUM_ECC_BITS + 1; /* from regularize_k */
const uECC_Curve curve = uECC_secp256r1();
ecc_wait_state_t wait_state;
ecc_wait_state_t * const ws = g_rng_function ? &wait_state : NULL;
uECC_vli_set(Rx[1], point);
uECC_vli_set(Ry[1], point + num_words);
XYcZ_initial_double(Rx[1], Ry[1], Rx[0], Ry[0], initial_Z, curve);
XYcZ_initial_double(Rx[1], Ry[1], Rx[0], Ry[0], initial_Z);
for (i = num_bits - 2; i > 0; --i) {
ecc_wait_state_reset(ws);
@ -887,10 +995,10 @@ static void EccPoint_mult(uECC_word_t * result, const uECC_word_t * point,
XYcZ_addC_rnd(Rx[1 - nb], Ry[1 - nb], Rx[nb], Ry[nb], ws);
/* Find final 1/Z value. */
uECC_vli_modSub(z, Rx[1], Rx[0], curve->p); /* X1 - X0 */
uECC_vli_modSub(z, Rx[1], Rx[0], curve_p); /* X1 - X0 */
uECC_vli_modMult_fast(z, z, Ry[1 - nb]); /* Yb * (X1 - X0) */
uECC_vli_modMult_fast(z, z, point); /* xP * Yb * (X1 - X0) */
uECC_vli_modInv(z, z, curve->p); /* 1 / (xP * Yb * (X1 - X0))*/
uECC_vli_modInv(z, z, curve_p); /* 1 / (xP * Yb * (X1 - X0))*/
/* yP / (xP * Yb * (X1 - X0)) */
uECC_vli_modMult_fast(z, z, point + num_words);
/* Xb * yP / (xP * Yb * (X1 - X0)) */
@ -910,19 +1018,18 @@ static uECC_word_t regularize_k(const uECC_word_t * const k, uECC_word_t *k0,
wordcount_t num_n_words = NUM_ECC_WORDS;
bitcount_t num_n_bits = NUM_ECC_BITS;
const uECC_Curve curve = uECC_secp256r1();
uECC_word_t carry = uECC_vli_add(k0, k, curve->n) ||
uECC_word_t carry = uECC_vli_add(k0, k, curve_n) ||
(num_n_bits < ((bitcount_t)num_n_words * uECC_WORD_SIZE * 8) &&
uECC_vli_testBit(k0, num_n_bits));
uECC_vli_add(k1, k0, curve->n);
uECC_vli_add(k1, k0, curve_n);
return carry;
}
int EccPoint_mult_safer(uECC_word_t * result, const uECC_word_t * point,
const uECC_word_t * scalar, uECC_Curve curve)
const uECC_word_t * scalar)
{
uECC_word_t tmp[NUM_ECC_WORDS];
uECC_word_t s[NUM_ECC_WORDS];
@ -930,10 +1037,32 @@ int EccPoint_mult_safer(uECC_word_t * result, const uECC_word_t * point,
wordcount_t num_words = NUM_ECC_WORDS;
uECC_word_t carry;
uECC_word_t *initial_Z = 0;
int r;
int r = UECC_FAULT_DETECTED;
volatile int problem;
if (curve != uECC_secp256r1())
return 0;
/* Protect against faults modifying curve paremeters in flash */
problem = -1;
problem = uECC_check_curve_integrity();
if (problem != 0) {
return UECC_FAULT_DETECTED;
}
mbedtls_platform_enforce_volatile_reads();
if (problem != 0) {
return UECC_FAULT_DETECTED;
}
/* Protects against invalid curve attacks */
problem = -1;
problem = uECC_valid_point(point);
if (problem != 0) {
/* invalid input, can happen without fault */
return UECC_FAILURE;
}
mbedtls_platform_enforce_volatile_reads();
if (problem != 0) {
/* failure on second check means fault, though */
return UECC_FAULT_DETECTED;
}
/* Regularize the bitcount for the private key so that attackers cannot use a
* side channel attack to learn the number of leading zeros. */
@ -942,15 +1071,43 @@ int EccPoint_mult_safer(uECC_word_t * result, const uECC_word_t * point,
/* If an RNG function was specified, get a random initial Z value to
* protect against side-channel attacks such as Template SPA */
if (g_rng_function) {
if (!uECC_generate_random_int(k2[carry], curve->p, num_words)) {
r = 0;
if (!uECC_generate_random_int(k2[carry], curve_p, num_words)) {
r = UECC_FAILURE;
goto clear_and_out;
}
initial_Z = k2[carry];
}
EccPoint_mult(result, point, k2[!carry], initial_Z);
r = 1;
/* Protect against fault injections that would make the resulting
* point not lie on the intended curve */
problem = -1;
problem = uECC_valid_point(result);
if (problem != 0) {
r = UECC_FAULT_DETECTED;
goto clear_and_out;
}
mbedtls_platform_enforce_volatile_reads();
if (problem != 0) {
r = UECC_FAULT_DETECTED;
goto clear_and_out;
}
/* Protect against faults modifying curve paremeters in flash */
problem = -1;
problem = uECC_check_curve_integrity();
if (problem != 0) {
r = UECC_FAULT_DETECTED;
goto clear_and_out;
}
mbedtls_platform_enforce_volatile_reads();
if (problem != 0) {
r = UECC_FAULT_DETECTED;
goto clear_and_out;
}
r = UECC_SUCCESS;
clear_and_out:
/* erasing temporary buffer used to store secret: */
@ -962,28 +1119,9 @@ clear_and_out:
}
uECC_word_t EccPoint_compute_public_key(uECC_word_t *result,
uECC_word_t *private_key,
uECC_Curve curve)
uECC_word_t *private_key)
{
uECC_word_t tmp1[NUM_ECC_WORDS];
uECC_word_t tmp2[NUM_ECC_WORDS];
uECC_word_t *p2[2] = {tmp1, tmp2};
uECC_word_t carry;
if (curve != uECC_secp256r1())
return 0;
/* Regularize the bitcount for the private key so that attackers cannot
* use a side channel attack to learn the number of leading zeros. */
carry = regularize_k(private_key, tmp1, tmp2);
EccPoint_mult(result, curve->G, p2[!carry], 0);
if (EccPoint_isZero(result, curve)) {
return 0;
}
return 1;
return EccPoint_mult_safer(result, curve_G, private_key);
}
/* Converts an integer in uECC native format to big-endian bytes. */
@ -1036,81 +1174,87 @@ int uECC_generate_random_int(uECC_word_t *random, const uECC_word_t *top,
}
int uECC_valid_point(const uECC_word_t *point, uECC_Curve curve)
int uECC_valid_point(const uECC_word_t *point)
{
uECC_word_t tmp1[NUM_ECC_WORDS];
uECC_word_t tmp2[NUM_ECC_WORDS];
wordcount_t num_words = curve->num_words;
wordcount_t num_words = NUM_ECC_WORDS;
volatile uECC_word_t diff = 0xffffffff;
/* The point at infinity is invalid. */
if (EccPoint_isZero(point, curve)) {
if (EccPoint_isZero(point)) {
return -1;
}
/* x and y must be smaller than p. */
if (uECC_vli_cmp_unsafe(curve->p, point) != 1 ||
uECC_vli_cmp_unsafe(curve->p, point + num_words) != 1) {
if (uECC_vli_cmp_unsafe(curve_p, point) != 1 ||
uECC_vli_cmp_unsafe(curve_p, point + num_words) != 1) {
return -2;
}
uECC_vli_modMult_fast(tmp1, point + num_words, point + num_words);
curve->x_side(tmp2, point, curve); /* tmp2 = x^3 + ax + b */
x_side_default(tmp2, point); /* tmp2 = x^3 + ax + b */
/* Make sure that y^2 == x^3 + ax + b */
if (uECC_vli_equal(tmp1, tmp2) != 0)
return -3;
diff = uECC_vli_equal(tmp1, tmp2);
if (diff == 0) {
mbedtls_platform_enforce_volatile_reads();
if (diff == 0) {
return 0;
}
}
return -3;
}
int uECC_valid_public_key(const uint8_t *public_key, uECC_Curve curve)
int uECC_valid_public_key(const uint8_t *public_key)
{
uECC_word_t _public[NUM_ECC_WORDS * 2];
uECC_vli_bytesToNative(_public, public_key, curve->num_bytes);
uECC_vli_bytesToNative(_public, public_key, NUM_ECC_BYTES);
uECC_vli_bytesToNative(
_public + curve->num_words,
public_key + curve->num_bytes,
curve->num_bytes);
_public + NUM_ECC_WORDS,
public_key + NUM_ECC_BYTES,
NUM_ECC_BYTES);
if (memcmp(_public, curve->G, NUM_ECC_WORDS * 2) == 0) {
if (memcmp(_public, curve_G, NUM_ECC_WORDS * 2) == 0) {
return -4;
}
return uECC_valid_point(_public, curve);
return uECC_valid_point(_public);
}
int uECC_compute_public_key(const uint8_t *private_key, uint8_t *public_key,
uECC_Curve curve)
int uECC_compute_public_key(const uint8_t *private_key, uint8_t *public_key)
{
int ret;
uECC_word_t _private[NUM_ECC_WORDS];
uECC_word_t _public[NUM_ECC_WORDS * 2];
uECC_vli_bytesToNative(
_private,
private_key,
BITS_TO_BYTES(curve->num_n_bits));
BITS_TO_BYTES(NUM_ECC_BITS));
/* Make sure the private key is in the range [1, n-1]. */
if (uECC_vli_isZero(_private)) {
return 0;
return UECC_FAILURE;
}
if (uECC_vli_cmp(curve->n, _private) != 1) {
return 0;
if (uECC_vli_cmp(curve_n, _private) != 1) {
return UECC_FAILURE;
}
/* Compute public key. */
if (!EccPoint_compute_public_key(_public, _private, curve)) {
return 0;
ret = EccPoint_compute_public_key(_public, _private);
if (ret != UECC_SUCCESS) {
return ret;
}
uECC_vli_nativeToBytes(public_key, curve->num_bytes, _public);
uECC_vli_nativeToBytes(public_key, NUM_ECC_BYTES, _public);
uECC_vli_nativeToBytes(
public_key +
curve->num_bytes, curve->num_bytes, _public + curve->num_words);
return 1;
NUM_ECC_BYTES, NUM_ECC_BYTES, _public + NUM_ECC_WORDS);
return UECC_SUCCESS;
}

74
tinycrypt/ecc_dh.c
View file

@ -72,9 +72,9 @@
#include "mbedtls/platform_util.h"
int uECC_make_key_with_d(uint8_t *public_key, uint8_t *private_key,
unsigned int *d, uECC_Curve curve)
unsigned int *d)
{
int ret;
uECC_word_t _private[NUM_ECC_WORDS];
uECC_word_t _public[NUM_ECC_WORDS * 2];
@ -84,30 +84,32 @@ int uECC_make_key_with_d(uint8_t *public_key, uint8_t *private_key,
mbedtls_platform_memcpy (_private, d, NUM_ECC_BYTES);
/* Computing public-key from private: */
if (EccPoint_compute_public_key(_public, _private, curve)) {
ret = EccPoint_compute_public_key(_public, _private);
if (ret != UECC_SUCCESS) {
goto exit;
}
/* Converting buffers to correct bit order: */
uECC_vli_nativeToBytes(private_key,
BITS_TO_BYTES(curve->num_n_bits),
BITS_TO_BYTES(NUM_ECC_BITS),
_private);
uECC_vli_nativeToBytes(public_key,
curve->num_bytes,
NUM_ECC_BYTES,
_public);
uECC_vli_nativeToBytes(public_key + curve->num_bytes,
curve->num_bytes,
_public + curve->num_words);
uECC_vli_nativeToBytes(public_key + NUM_ECC_BYTES,
NUM_ECC_BYTES,
_public + NUM_ECC_WORDS);
exit:
/* erasing temporary buffer used to store secret: */
mbedtls_platform_memset(_private, 0, NUM_ECC_BYTES);
return 1;
}
return 0;
return ret;
}
int uECC_make_key(uint8_t *public_key, uint8_t *private_key, uECC_Curve curve)
int uECC_make_key(uint8_t *public_key, uint8_t *private_key)
{
int ret;
uECC_word_t _random[NUM_ECC_WORDS * 2];
uECC_word_t _private[NUM_ECC_WORDS];
uECC_word_t _public[NUM_ECC_WORDS * 2];
@ -118,55 +120,54 @@ int uECC_make_key(uint8_t *public_key, uint8_t *private_key, uECC_Curve curve)
uECC_RNG_Function rng_function = uECC_get_rng();
if (!rng_function ||
!rng_function((uint8_t *)_random, 2 * NUM_ECC_WORDS*uECC_WORD_SIZE)) {
return 0;
return UECC_FAILURE;
}
/* computing modular reduction of _random (see FIPS 186.4 B.4.1): */
uECC_vli_mmod(_private, _random, curve->n);
uECC_vli_mmod(_private, _random, curve_n);
/* Computing public-key from private: */
if (EccPoint_compute_public_key(_public, _private, curve)) {
ret = EccPoint_compute_public_key(_public, _private);
/* don't try again if a fault was detected */
if (ret == UECC_FAULT_DETECTED) {
return ret;
}
if (ret == UECC_SUCCESS) {
/* Converting buffers to correct bit order: */
uECC_vli_nativeToBytes(private_key,
BITS_TO_BYTES(curve->num_n_bits),
BITS_TO_BYTES(NUM_ECC_BITS),
_private);
uECC_vli_nativeToBytes(public_key,
curve->num_bytes,
NUM_ECC_BYTES,
_public);
uECC_vli_nativeToBytes(public_key + curve->num_bytes,
curve->num_bytes,
_public + curve->num_words);
uECC_vli_nativeToBytes(public_key + NUM_ECC_BYTES,
NUM_ECC_BYTES,
_public + NUM_ECC_WORDS);
/* erasing temporary buffer that stored secret: */
mbedtls_platform_memset(_private, 0, NUM_ECC_BYTES);
return 1;
return UECC_SUCCESS;
}
}
return 0;
return UECC_FAILURE;
}
int uECC_shared_secret(const uint8_t *public_key, const uint8_t *private_key,
uint8_t *secret, uECC_Curve curve)
uint8_t *secret)
{
uECC_word_t _public[NUM_ECC_WORDS * 2];
uECC_word_t _private[NUM_ECC_WORDS];
wordcount_t num_words = curve->num_words;
wordcount_t num_bytes = curve->num_bytes;
wordcount_t num_words = NUM_ECC_WORDS;
wordcount_t num_bytes = NUM_ECC_BYTES;
int r;
/* Protect against invalid curve attacks */
if (uECC_valid_public_key(public_key, curve) != 0) {
r = 0;
goto clear_and_out;
}
/* Converting buffers to correct bit order: */
uECC_vli_bytesToNative(_private,
private_key,
BITS_TO_BYTES(curve->num_n_bits));
BITS_TO_BYTES(NUM_ECC_BITS));
uECC_vli_bytesToNative(_public,
public_key,
num_bytes);
@ -174,14 +175,9 @@ int uECC_shared_secret(const uint8_t *public_key, const uint8_t *private_key,
public_key + num_bytes,
num_bytes);
r = EccPoint_mult_safer(_public, _public, _private, curve);
if (r == 0)
goto clear_and_out;
r = EccPoint_mult_safer(_public, _public, _private);
uECC_vli_nativeToBytes(secret, num_bytes, _public);
r = !EccPoint_isZero(_public, curve);
clear_and_out:
/* erasing temporary buffer used to store secret: */
mbedtls_platform_zeroize(_private, sizeof(_private));

137
tinycrypt/ecc_dsa.c
View file

@ -75,10 +75,10 @@ static uECC_RNG_Function g_rng_function = 0;
#endif
static void bits2int(uECC_word_t *native, const uint8_t *bits,
unsigned bits_size, uECC_Curve curve)
unsigned bits_size)
{
unsigned num_n_bytes = BITS_TO_BYTES(curve->num_n_bits);
unsigned num_n_words = BITS_TO_WORDS(curve->num_n_bits);
unsigned num_n_bytes = BITS_TO_BYTES(NUM_ECC_BITS);
unsigned num_n_words = BITS_TO_WORDS(NUM_ECC_BITS);
int shift;
uECC_word_t carry;
uECC_word_t *ptr;
@ -89,10 +89,10 @@ static void bits2int(uECC_word_t *native, const uint8_t *bits,
uECC_vli_clear(native);
uECC_vli_bytesToNative(native, bits, bits_size);
if (bits_size * 8 <= (unsigned)curve->num_n_bits) {
if (bits_size * 8 <= (unsigned)NUM_ECC_BITS) {
return;
}
shift = bits_size * 8 - curve->num_n_bits;
shift = bits_size * 8 - NUM_ECC_BITS;
carry = 0;
ptr = native + num_n_words;
while (ptr-- > native) {
@ -102,32 +102,31 @@ static void bits2int(uECC_word_t *native, const uint8_t *bits,
}
/* Reduce mod curve_n */
if (uECC_vli_cmp_unsafe(curve->n, native) != 1) {
uECC_vli_sub(native, native, curve->n);
if (uECC_vli_cmp_unsafe(curve_n, native) != 1) {
uECC_vli_sub(native, native, curve_n);
}
}
int uECC_sign_with_k(const uint8_t *private_key, const uint8_t *message_hash,
unsigned hash_size, uECC_word_t *k, uint8_t *signature,
uECC_Curve curve)
unsigned hash_size, uECC_word_t *k, uint8_t *signature)
{
uECC_word_t tmp[NUM_ECC_WORDS];
uECC_word_t s[NUM_ECC_WORDS];
uECC_word_t p[NUM_ECC_WORDS * 2];
wordcount_t num_n_words = BITS_TO_WORDS(curve->num_n_bits);
wordcount_t num_n_words = BITS_TO_WORDS(NUM_ECC_BITS);
int r;
/* Make sure 0 < k < curve_n */
if (uECC_vli_isZero(k) ||
uECC_vli_cmp(curve->n, k) != 1) {
return 0;
uECC_vli_cmp(curve_n, k) != 1) {
return UECC_FAILURE;
}
r = EccPoint_mult_safer(p, curve->G, k, curve);
if (r == 0 || uECC_vli_isZero(p)) {
return 0;
r = EccPoint_mult_safer(p, curve_G, k);
if (r != UECC_SUCCESS) {
return r;
}
/* If an RNG function was specified, get a random number
@ -136,39 +135,40 @@ int uECC_sign_with_k(const uint8_t *private_key, const uint8_t *message_hash,
uECC_vli_clear(tmp);
tmp[0] = 1;
}
else if (!uECC_generate_random_int(tmp, curve->n, num_n_words)) {
return 0;
else if (!uECC_generate_random_int(tmp, curve_n, num_n_words)) {
return UECC_FAILURE;
}
/* Prevent side channel analysis of uECC_vli_modInv() to determine
bits of k / the private key by premultiplying by a random number */
uECC_vli_modMult(k, k, tmp, curve->n); /* k' = rand * k */
uECC_vli_modInv(k, k, curve->n); /* k = 1 / k' */
uECC_vli_modMult(k, k, tmp, curve->n); /* k = 1 / k */
uECC_vli_modMult(k, k, tmp, curve_n); /* k' = rand * k */
uECC_vli_modInv(k, k, curve_n); /* k = 1 / k' */
uECC_vli_modMult(k, k, tmp, curve_n); /* k = 1 / k */
uECC_vli_nativeToBytes(signature, curve->num_bytes, p); /* store r */
uECC_vli_nativeToBytes(signature, NUM_ECC_BYTES, p); /* store r */
/* tmp = d: */
uECC_vli_bytesToNative(tmp, private_key, BITS_TO_BYTES(curve->num_n_bits));
uECC_vli_bytesToNative(tmp, private_key, BITS_TO_BYTES(NUM_ECC_BITS));
s[num_n_words - 1] = 0;
uECC_vli_set(s, p);
uECC_vli_modMult(s, tmp, s, curve->n); /* s = r*d */
uECC_vli_modMult(s, tmp, s, curve_n); /* s = r*d */
bits2int(tmp, message_hash, hash_size, curve);
uECC_vli_modAdd(s, tmp, s, curve->n); /* s = e + r*d */
uECC_vli_modMult(s, s, k, curve->n); /* s = (e + r*d) / k */
if (uECC_vli_numBits(s) > (bitcount_t)curve->num_bytes * 8) {
return 0;
bits2int(tmp, message_hash, hash_size);
uECC_vli_modAdd(s, tmp, s, curve_n); /* s = e + r*d */
uECC_vli_modMult(s, s, k, curve_n); /* s = (e + r*d) / k */
if (uECC_vli_numBits(s) > (bitcount_t)NUM_ECC_BYTES * 8) {
return UECC_FAILURE;
}
uECC_vli_nativeToBytes(signature + curve->num_bytes, curve->num_bytes, s);
return 1;
uECC_vli_nativeToBytes(signature + NUM_ECC_BYTES, NUM_ECC_BYTES, s);
return UECC_SUCCESS;
}
int uECC_sign(const uint8_t *private_key, const uint8_t *message_hash,
unsigned hash_size, uint8_t *signature, uECC_Curve curve)
unsigned hash_size, uint8_t *signature)
{
int r;
uECC_word_t _random[2*NUM_ECC_WORDS];
uECC_word_t k[NUM_ECC_WORDS];
uECC_word_t tries;
@ -178,18 +178,23 @@ int uECC_sign(const uint8_t *private_key, const uint8_t *message_hash,
uECC_RNG_Function rng_function = uECC_get_rng();
if (!rng_function ||
!rng_function((uint8_t *)_random, 2*NUM_ECC_WORDS*uECC_WORD_SIZE)) {
return 0;
return UECC_FAILURE;
}
// computing k as modular reduction of _random (see FIPS 186.4 B.5.1):
uECC_vli_mmod(k, _random, curve->n);
uECC_vli_mmod(k, _random, curve_n);
if (uECC_sign_with_k(private_key, message_hash, hash_size, k, signature,
curve)) {
return 1;
r = uECC_sign_with_k(private_key, message_hash, hash_size, k, signature);
/* don't keep trying if a fault was detected */
if (r == UECC_FAULT_DETECTED) {
return r;
}
if (r == UECC_SUCCESS) {
return UECC_SUCCESS;
}
return 0;
/* else keep trying */
}
return UECC_FAILURE;
}
static bitcount_t smax(bitcount_t a, bitcount_t b)
@ -198,8 +203,7 @@ static bitcount_t smax(bitcount_t a, bitcount_t b)
}
int uECC_verify(const uint8_t *public_key, const uint8_t *message_hash,
unsigned hash_size, const uint8_t *signature,
uECC_Curve curve)
unsigned hash_size, const uint8_t *signature)
{
uECC_word_t u1[NUM_ECC_WORDS], u2[NUM_ECC_WORDS];
@ -218,21 +222,18 @@ int uECC_verify(const uint8_t *public_key, const uint8_t *message_hash,
uECC_word_t _public[NUM_ECC_WORDS * 2];
uECC_word_t r[NUM_ECC_WORDS], s[NUM_ECC_WORDS];
wordcount_t num_words = curve->num_words;
wordcount_t num_n_words = BITS_TO_WORDS(curve->num_n_bits);
if (curve != uECC_secp256r1())
return 0;
wordcount_t num_words = NUM_ECC_WORDS;
wordcount_t num_n_words = BITS_TO_WORDS(NUM_ECC_BITS);
rx[num_n_words - 1] = 0;
r[num_n_words - 1] = 0;
s[num_n_words - 1] = 0;
uECC_vli_bytesToNative(_public, public_key, curve->num_bytes);
uECC_vli_bytesToNative(_public + num_words, public_key + curve->num_bytes,
curve->num_bytes);
uECC_vli_bytesToNative(r, signature, curve->num_bytes);
uECC_vli_bytesToNative(s, signature + curve->num_bytes, curve->num_bytes);
uECC_vli_bytesToNative(_public, public_key, NUM_ECC_BYTES);
uECC_vli_bytesToNative(_public + num_words, public_key + NUM_ECC_BYTES,
NUM_ECC_BYTES);
uECC_vli_bytesToNative(r, signature, NUM_ECC_BYTES);
uECC_vli_bytesToNative(s, signature + NUM_ECC_BYTES, NUM_ECC_BYTES);
/* r, s must not be 0. */
if (uECC_vli_isZero(r) || uECC_vli_isZero(s)) {
@ -240,31 +241,31 @@ int uECC_verify(const uint8_t *public_key, const uint8_t *message_hash,
}
/* r, s must be < n. */
if (uECC_vli_cmp_unsafe(curve->n, r) != 1 ||
uECC_vli_cmp_unsafe(curve->n, s) != 1) {
if (uECC_vli_cmp_unsafe(curve_n, r) != 1 ||
uECC_vli_cmp_unsafe(curve_n, s) != 1) {
return UECC_FAILURE;
}
/* Calculate u1 and u2. */
uECC_vli_modInv(z, s, curve->n); /* z = 1/s */
uECC_vli_modInv(z, s, curve_n); /* z = 1/s */
u1[num_n_words - 1] = 0;
bits2int(u1, message_hash, hash_size, curve);
uECC_vli_modMult(u1, u1, z, curve->n); /* u1 = e/s */
uECC_vli_modMult(u2, r, z, curve->n); /* u2 = r/s */
bits2int(u1, message_hash, hash_size);
uECC_vli_modMult(u1, u1, z, curve_n); /* u1 = e/s */
uECC_vli_modMult(u2, r, z, curve_n); /* u2 = r/s */
/* Calculate sum = G + Q. */
uECC_vli_set(sum, _public);
uECC_vli_set(sum + num_words, _public + num_words);
uECC_vli_set(tx, curve->G);
uECC_vli_set(ty, curve->G + num_words);
uECC_vli_modSub(z, sum, tx, curve->p); /* z = x2 - x1 */
XYcZ_add(tx, ty, sum, sum + num_words, curve);
uECC_vli_modInv(z, z, curve->p); /* z = 1/z */
uECC_vli_set(tx, curve_G);
uECC_vli_set(ty, curve_G + num_words);
uECC_vli_modSub(z, sum, tx, curve_p); /* z = x2 - x1 */
XYcZ_add(tx, ty, sum, sum + num_words);
uECC_vli_modInv(z, z, curve_p); /* z = 1/z */
apply_z(sum, sum + num_words, z);
/* Use Shamir's trick to calculate u1*G + u2*Q */
points[0] = 0;
points[1] = curve->G;
points[1] = curve_G;
points[2] = _public;
points[3] = sum;
num_bits = smax(uECC_vli_numBits(u1),
@ -279,7 +280,7 @@ int uECC_verify(const uint8_t *public_key, const uint8_t *message_hash,
for (i = num_bits - 2; i >= 0; --i) {
uECC_word_t index;
curve->double_jacobian(rx, ry, z, curve);
double_jacobian_default(rx, ry, z);
index = (!!uECC_vli_testBit(u1, i)) | ((!!uECC_vli_testBit(u2, i)) << 1);
point = points[index];
@ -287,18 +288,18 @@ int uECC_verify(const uint8_t *public_key, const uint8_t *message_hash,
uECC_vli_set(tx, point);
uECC_vli_set(ty, point + num_words);
apply_z(tx, ty, z);
uECC_vli_modSub(tz, rx, tx, curve->p); /* Z = x2 - x1 */
XYcZ_add(tx, ty, rx, ry, curve);
uECC_vli_modSub(tz, rx, tx, curve_p); /* Z = x2 - x1 */
XYcZ_add(tx, ty, rx, ry);
uECC_vli_modMult_fast(z, z, tz);
}
}
uECC_vli_modInv(z, z, curve->p); /* Z = 1/Z */
uECC_vli_modInv(z, z, curve_p); /* Z = 1/Z */
apply_z(rx, ry, z);
/* v = x1 (mod n) */
if (uECC_vli_cmp_unsafe(curve->n, rx) != 1) {
uECC_vli_sub(rx, rx, curve->n);
if (uECC_vli_cmp_unsafe(curve_n, rx) != 1) {
uECC_vli_sub(rx, rx, curve_n);
}
/* Accept only if v == r. */
@ -309,7 +310,7 @@ int uECC_verify(const uint8_t *public_key, const uint8_t *message_hash,
return UECC_SUCCESS;
}
else {
return UECC_ATTACK_DETECTED;
return UECC_FAULT_DETECTED;
}
}