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Merge pull request #845 from ARMmbed/mbedtls-2.16.11rc0-pr

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Mbedtls 2.16.11rc0 pr
This commit is contained in:
Dave Rodgman
2021-07-06 12:59:45 +01:00
committed by GitHub
parent 4c20c774a1 571f475788
commit aa1d4e0973
34 changed files with 906 additions and 457 deletions
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92
ChangeLog
View File

@@ -1,5 +1,97 @@
mbed TLS ChangeLog (Sorted per branch, date)
= mbed TLS 2.16.11 branch released 2021-07-07
Security
* Fix a bias in the generation of finite-field Diffie-Hellman-Merkle (DHM)
private keys and of blinding values for DHM and elliptic curves (ECP)
computations. Reported by FlorianF89 in #4245.
* Fix a potential side channel vulnerability in ECDSA ephemeral key generation.
An adversary who is capable of very precise timing measurements could
learn partial information about the leading bits of the nonce used for the
signature, allowing the recovery of the private key after observing a
large number of signature operations. This completes a partial fix in
Mbed TLS 2.16.4.
* It was possible to configure MBEDTLS_ECP_MAX_BITS to a value that is
too small, leading to buffer overflows in ECC operations. Fail the build
in such a case.
* An adversary with access to precise enough information about memory
accesses (typically, an untrusted operating system attacking a secure
enclave) could recover an RSA private key after observing the victim
performing a single private-key operation. Found and reported by
Zili KOU, Wenjian HE, Sharad Sinha, and Wei ZHANG.
* An adversary with access to precise enough timing information (typically, a
co-located process) could recover a Curve25519 or Curve448 static ECDH key
after inputting a chosen public key and observing the victim performing the
corresponding private-key operation. Found and reported by Leila Batina,
Lukas Chmielewski, Björn Haase, Niels Samwel and Peter Schwabe.
Bugfix
* Fix premature fopen() call in mbedtls_entropy_write_seed_file which may
lead to the seed file corruption in case if the path to the seed file is
equal to MBEDTLS_PLATFORM_STD_NV_SEED_FILE. Contributed by Victor
Krasnoshchok in #3616.
* Fix some cases in the bignum module where the library constructed an
unintended representation of the value 0 which was not processed
correctly by some bignum operations. This could happen when
mbedtls_mpi_read_string() was called on "-0", or when
mbedtls_mpi_mul_mpi() and mbedtls_mpi_mul_int() was called with one of
the arguments being negative and the other being 0. Fixes #4643.
* Fix a compilation error when MBEDTLS_ECP_RANDOMIZE_MXZ_ALT is
defined. Fixes #4217.
* Fix an incorrect error code when parsing a PKCS#8 private key.
* In a TLS client, enforce the Diffie-Hellman minimum parameter size
set with mbedtls_ssl_conf_dhm_min_bitlen() precisely. Before, the
minimum size was rounded down to the nearest multiple of 8.
* In library/net_sockets.c, _POSIX_C_SOURCE and _XOPEN_SOURCE are
defined to specific values. If the code is used in a context
where these are already defined, this can result in a compilation
error. Instead, assume that if they are defined, the values will
be adequate to build Mbed TLS.
* The cipher suite TLS-RSA-WITH-CAMELLIA-256-GCM-SHA384 was not available
when SHA-1 was disabled and was offered when SHA-1 was enabled but SHA-384
was disabled. Fix the dependency. Fixes #4472.
* Fix test suite code on platforms where int32_t is not int, such as
Arm Cortex-M. Fixes #4530.
* Fix some issues affecting MBEDTLS_ARIA_ALT implementations: a misplaced
directive in a header and a missing initialization in the self-test.
* Fix a missing initialization in the Camellia self-test, affecting
MBEDTLS_CAMELLIA_ALT implementations.
* Fix a regression introduced in 2.16.8 which broke (D)TLS CBC ciphersuites
(when the encrypt-then-MAC extension is not in use) with some ALT
implementations of the underlying hash (SHA-1, SHA-256, SHA-384), causing
the affected side to wrongly reject valid messages. Fixes #4118.
* Fix mbedtls_net_poll() and mbedtls_net_recv_timeout() often failing with
MBEDTLS_ERR_NET_POLL_FAILED on Windows. Fixes #4465.
* Fix a resource leak in a test suite with an alternative AES
implementation. Fixes #4176.
* Fix a crash in mbedtls_mpi_debug_mpi on a bignum having 0 limbs.
Reported by lhuang04 in #4578. Fixes #4608.
* Fix a null pointer dereference when mbedtls_mpi_exp_mod() was called with
A=0 represented with 0 limbs. This bug could not be triggered by code
that constructed A with one of the mbedtls_mpi_read_xxx functions
(including in particular TLS code) since those always built an mpi object
with at least one limb. Credit to OSS-Fuzz. Fixes #4641.
* Fix mbedtls_mpi_gcd(G,A,B) when the value of B is zero. This had no
effect on Mbed TLS's internal use of mbedtls_mpi_gcd(), but may affect
applications that call mbedtls_mpi_gcd() directly. Fixes #4642.
* mbedtls_pk_sign() and mbedtls_pk_verify() and their extended and
restartable variants now require at least the specified hash length if
nonzero. Before, for RSA, hash_len was ignored in favor of the length of
the specified hash algorithm.
* Fix which alert is sent in some cases to conform to the
applicable RFC: on an invalid Finished message value, an
invalid max_fragment_length extension, or an
unsupported extension used by the server.
Changes
* Fix the setting of the read timeout in the DTLS sample programs.
* Remove the AES sample application programs/aes/aescrypt2 which shows
bad cryptographic practice. Fix #1906.
* When building the test suites with GNU make, invoke python3 or python, not
python2. The build still works with either Python 2.7 or 3.5+, but we
recommend using a version of Python that is supported upstream.
= mbed TLS 2.16.10 branch released 2021-03-12
Default behavior changes

3
ChangeLog.d/add-missing-parenthesis.txt
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@@ -1,3 +0,0 @@
Bugfix
* Fix a compilation error when MBEDTLS_ECP_RANDOMIZE_MXZ_ALT is
defined. Fixes #4217.

3
ChangeLog.d/aescrypt2.txt
View File

@@ -1,3 +0,0 @@
Changes
* Remove the AES sample application programs/aes/aescrypt2 which shows
bad cryptographic practice. Fix #1906.

5
ChangeLog.d/aria-alt.txt
View File

@@ -1,5 +0,0 @@
Bugfix
* Fix some issues affecting MBEDTLS_ARIA_ALT implementations: a misplaced
directive in a header and a missing initialization in the self-test.
* Fix a missing initialization in the Camellia self-test, affecting
MBEDTLS_CAMELLIA_ALT implementations.

5
ChangeLog.d/bugfix_PR3616.txt
View File

@@ -1,5 +0,0 @@
Bugfix
* Fix premature fopen() call in mbedtls_entropy_write_seed_file which may
lead to the seed file corruption in case if the path to the seed file is
equal to MBEDTLS_PLATFORM_STD_NV_SEED_FILE. Contributed by Victor
Krasnoshchok in #3616.

4
ChangeLog.d/ciphersuite-sha1-sha384-guard.txt
View File

@@ -1,4 +0,0 @@
Bugfix
* The cipher suite TLS-RSA-WITH-CAMELLIA-256-GCM-SHA384 was not available
when SHA-1 was disabled and was offered when SHA-1 was enabled but SHA-384
was disabled. Fix the dependency. Fixes #4472.

4
ChangeLog.d/dhm_min_bitlen.txt
View File

@@ -1,4 +0,0 @@
Bugfix
* In a TLS client, enforce the Diffie-Hellman minimum parameter size
set with mbedtls_ssl_conf_dhm_min_bitlen() precisely. Before, the
minimum size was rounded down to the nearest multiple of 8.

2
ChangeLog.d/dtls_sample_use_read_timeout.txt
View File

@@ -1,2 +0,0 @@
Changes
* Fix the setting of the read timeout in the DTLS sample programs.

5
ChangeLog.d/ensure_hash_len_is_valid.txt
View File

@@ -1,5 +0,0 @@
Bugfix
* mbedtls_pk_sign() and mbedtls_pk_verify() and their extended and
restartable variants now require at least the specified hash length if
nonzero. Before, for RSA, hash_len was ignored in favor of the length of
the specified hash algorithm.

2
ChangeLog.d/fix-pk-parse-key-error-code.txt
View File

@@ -1,2 +0,0 @@
Bugfix
* Fix an incorrect error code when parsing a PKCS#8 private key.

5
ChangeLog.d/fix-ssl-cf-hmac-alt.txt
View File

@@ -1,5 +0,0 @@
Bugfix
* Fix a regression introduced in 2.16.8 which broke (D)TLS CBC ciphersuites
(when the encrypt-then-MAC extension is not in use) with some ALT
implementations of the underlying hash (SHA-1, SHA-256, SHA-384), causing
the affected side to wrongly reject valid messages. Fixes #4118.

5
ChangeLog.d/fix_tls_alert_codes.txt
View File

@@ -1,5 +0,0 @@
Bugfix
* Fix which alert is sent in some cases to conform to the
applicable RFC: on an invalid Finished message value, an
invalid max_fragment_length extension, or an
unsupported extension used by the server.

3
ChangeLog.d/host_test-int32.txt
View File

@@ -1,3 +0,0 @@
Bugfix
* Fix test suite code on platforms where int32_t is not int, such as
Arm Cortex-M. Fixes #4530.

3
ChangeLog.d/issue4176.txt
View File

@@ -1,3 +0,0 @@
Bugfix
* Fix a resource leak in a test suite with an alternative AES
implementation. Fixes #4176.

4
ChangeLog.d/make-generate-tests-python.txt
View File

@@ -1,4 +0,0 @@
Changes
* When building the test suites with GNU make, invoke python3 or python, not
python2. The build still works with either Python 2.7 or 3.5+, but we
recommend using a version of Python that is supported upstream.

3
ChangeLog.d/mbedtls_debug_print_mpi.txt
View File

@@ -1,3 +0,0 @@
Bugfix
* Fix a crash in mbedtls_mpi_debug_mpi on a bignum having 0 limbs.
Reported by lhuang04 in #4578. Fixes #4608.

6
ChangeLog.d/mpi_exp_mod-zero.txt
View File

@@ -1,6 +0,0 @@
Bugfix
* Fix a null pointer dereference when mbedtls_mpi_exp_mod() was called with
A=0 represented with 0 limbs. This bug could not be triggered by code
that constructed A with one of the mbedtls_mpi_read_xxx functions
(including in particular TLS code) since those always built an mpi object
with at least one limb. Credit to OSS-Fuzz. Fixes #4641.

4
ChangeLog.d/mpi_gcd-0.txt
View File

@@ -1,4 +0,0 @@
Bugfix
* Fix mbedtls_mpi_gcd(G,A,B) when the value of B is zero. This had no
effect on Mbed TLS's internal use of mbedtls_mpi_gcd(), but may affect
applications that call mbedtls_mpi_gcd() directly. Fixes #4642.

7
ChangeLog.d/mpi_read_negative_zero.txt
View File

@@ -1,7 +0,0 @@
Bugfix
* Fix some cases in the bignum module where the library constructed an
unintended representation of the value 0 which was not processed
correctly by some bignum operations. This could happen when
mbedtls_mpi_read_string() was called on "-0", or when
mbedtls_mpi_mul_mpi() and mbedtls_mpi_mul_int() was called with one of
the arguments being negative and the other being 0. Fixes #4643.

6
ChangeLog.d/posix-define.txt
View File

@@ -1,6 +0,0 @@
Bugfix
* In library/net_sockets.c, _POSIX_C_SOURCE and _XOPEN_SOURCE are
defined to specific values. If the code is used in a context
where these are already defined, this can result in a compilation
error. Instead, assume that if they are defined, the values will
be adequate to build Mbed TLS.

4
ChangeLog.d/random-range.txt
View File

@@ -1,4 +0,0 @@
Security
* Fix a bias in the generation of finite-field Diffie-Hellman-Merkle (DHM)
private keys and of blinding values for DHM and elliptic curves (ECP)
computations. Reported by FlorianF89 in #4245.

4
ChangeLog.d/winsock.txt
View File

@@ -1,4 +0,0 @@
Bugfix
* Fix mbedtls_net_poll() and mbedtls_net_recv_timeout() often failing with
MBEDTLS_ERR_NET_POLL_FAILED on Windows. Fixes #4465.

2
doxygen/input/doc_mainpage.h
View File

@@ -49,7 +49,7 @@
*/
/**
* @mainpage mbed TLS v2.16.10 source code documentation
* @mainpage mbed TLS v2.16.11 source code documentation
*
* This documentation describes the internal structure of mbed TLS. It was
* automatically generated from specially formatted comment blocks in

2
doxygen/mbedtls.doxyfile
View File

@@ -28,7 +28,7 @@ DOXYFILE_ENCODING = UTF-8
# identify the project. Note that if you do not use Doxywizard you need
# to put quotes around the project name if it contains spaces.
PROJECT_NAME = "mbed TLS v2.16.10"
PROJECT_NAME = "mbed TLS v2.16.11"
# The PROJECT_NUMBER tag can be used to enter a project or revision number.
# This could be handy for archiving the generated documentation or

40
include/mbedtls/bn_mul.h
View File

@@ -71,6 +71,46 @@
#include "bignum.h"
/*
* Conversion macros for embedded constants:
* build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
*/
#if defined(MBEDTLS_HAVE_INT32)
#define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \
( (mbedtls_mpi_uint) (a) << 0 ) | \
( (mbedtls_mpi_uint) (b) << 8 ) | \
( (mbedtls_mpi_uint) (c) << 16 ) | \
( (mbedtls_mpi_uint) (d) << 24 )
#define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \
MBEDTLS_BYTES_TO_T_UINT_4( a, b, 0, 0 )
#define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ), \
MBEDTLS_BYTES_TO_T_UINT_4( e, f, g, h )
#else /* 64-bits */
#define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
( (mbedtls_mpi_uint) (a) << 0 ) | \
( (mbedtls_mpi_uint) (b) << 8 ) | \
( (mbedtls_mpi_uint) (c) << 16 ) | \
( (mbedtls_mpi_uint) (d) << 24 ) | \
( (mbedtls_mpi_uint) (e) << 32 ) | \
( (mbedtls_mpi_uint) (f) << 40 ) | \
( (mbedtls_mpi_uint) (g) << 48 ) | \
( (mbedtls_mpi_uint) (h) << 56 )
#define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \
MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
#define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \
MBEDTLS_BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
#endif /* bits in mbedtls_mpi_uint */
#if defined(MBEDTLS_HAVE_ASM)
#ifndef asm

42
include/mbedtls/ecp.h
View File

@@ -154,6 +154,40 @@ typedef struct mbedtls_ecp_point
}
mbedtls_ecp_point;
/* Determine the minimum safe value of MBEDTLS_ECP_MAX_BITS. */
#if !defined(MBEDTLS_ECP_C)
#define MBEDTLS_ECP_MAX_BITS_MIN 0
/* Note: the curves must be listed in DECREASING size! */
#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 521
#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 512
#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 448
#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 384
#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 384
#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 256
#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 256
#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 256
#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 255
#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 225 // n is slightly above 2^224
#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 224
#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 192
#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 192
#else
#error "MBEDTLS_ECP_C enabled, but no curve?"
#endif
#if !defined(MBEDTLS_ECP_ALT)
/*
* default mbed TLS elliptic curve arithmetic implementation
@@ -228,7 +262,13 @@ mbedtls_ecp_group;
* \{
*/
#if !defined(MBEDTLS_ECP_MAX_BITS)
#if defined(MBEDTLS_ECP_MAX_BITS)
#if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
#error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
#endif
#else
/**
* The maximum size of the groups, that is, of \c N and \c P.
*/

8
include/mbedtls/version.h
View File

@@ -65,16 +65,16 @@
*/
#define MBEDTLS_VERSION_MAJOR 2
#define MBEDTLS_VERSION_MINOR 16
#define MBEDTLS_VERSION_PATCH 10
#define MBEDTLS_VERSION_PATCH 11
/**
* The single version number has the following structure:
* MMNNPP00
* Major version | Minor version | Patch version
*/
#define MBEDTLS_VERSION_NUMBER 0x02100A00
#define MBEDTLS_VERSION_STRING "2.16.10"
#define MBEDTLS_VERSION_STRING_FULL "mbed TLS 2.16.10"
#define MBEDTLS_VERSION_NUMBER 0x02100B00
#define MBEDTLS_VERSION_STRING "2.16.11"
#define MBEDTLS_VERSION_STRING_FULL "mbed TLS 2.16.11"
#if defined(MBEDTLS_VERSION_C)

6
library/CMakeLists.txt
View File

@@ -165,15 +165,15 @@ endif(USE_STATIC_MBEDTLS_LIBRARY)
if(USE_SHARED_MBEDTLS_LIBRARY)
add_library(mbedcrypto SHARED ${src_crypto})
set_target_properties(mbedcrypto PROPERTIES VERSION 2.16.10 SOVERSION 3)
set_target_properties(mbedcrypto PROPERTIES VERSION 2.16.11 SOVERSION 3)
target_link_libraries(mbedcrypto ${libs})
add_library(mbedx509 SHARED ${src_x509})
set_target_properties(mbedx509 PROPERTIES VERSION 2.16.10 SOVERSION 0)
set_target_properties(mbedx509 PROPERTIES VERSION 2.16.11 SOVERSION 0)
target_link_libraries(mbedx509 ${libs} mbedcrypto)
add_library(mbedtls SHARED ${src_tls})
set_target_properties(mbedtls PROPERTIES VERSION 2.16.10 SOVERSION 12)
set_target_properties(mbedtls PROPERTIES VERSION 2.16.11 SOVERSION 12)
target_link_libraries(mbedtls ${libs} mbedx509)
install(TARGETS mbedtls mbedx509 mbedcrypto

164
library/bignum.c
View File

@@ -267,6 +267,36 @@ void mbedtls_mpi_swap( mbedtls_mpi *X, mbedtls_mpi *Y )
memcpy( Y, &T, sizeof( mbedtls_mpi ) );
}
/**
* Select between two sign values in constant-time.
*
* This is functionally equivalent to second ? a : b but uses only bit
* operations in order to avoid branches.
*
* \param[in] a The first sign; must be either +1 or -1.
* \param[in] b The second sign; must be either +1 or -1.
* \param[in] second Must be either 1 (return b) or 0 (return a).
*
* \return The selected sign value.
*/
static int mpi_safe_cond_select_sign( int a, int b, unsigned char second )
{
/* In order to avoid questions about what we can reasonnably assume about
* the representations of signed integers, move everything to unsigned
* by taking advantage of the fact that a and b are either +1 or -1. */
unsigned ua = a + 1;
unsigned ub = b + 1;
/* second was 0 or 1, mask is 0 or 2 as are ua and ub */
const unsigned mask = second << 1;
/* select ua or ub */
unsigned ur = ( ua & ~mask ) | ( ub & mask );
/* ur is now 0 or 2, convert back to -1 or +1 */
return( (int) ur - 1 );
}
/*
* Conditionally assign dest = src, without leaking information
* about whether the assignment was made or not.
@@ -279,8 +309,23 @@ static void mpi_safe_cond_assign( size_t n,
unsigned char assign )
{
size_t i;
/* MSVC has a warning about unary minus on unsigned integer types,
* but this is well-defined and precisely what we want to do here. */
#if defined(_MSC_VER)
#pragma warning( push )
#pragma warning( disable : 4146 )
#endif
/* all-bits 1 if assign is 1, all-bits 0 if assign is 0 */
const mbedtls_mpi_uint mask = -assign;
#if defined(_MSC_VER)
#pragma warning( pop )
#endif
for( i = 0; i < n; i++ )
dest[i] = dest[i] * ( 1 - assign ) + src[i] * assign;
dest[i] = ( src[i] & mask ) | ( dest[i] & ~mask );
}
/*
@@ -292,20 +337,34 @@ int mbedtls_mpi_safe_cond_assign( mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned
{
int ret = 0;
size_t i;
mbedtls_mpi_uint limb_mask;
MPI_VALIDATE_RET( X != NULL );
MPI_VALIDATE_RET( Y != NULL );
/* MSVC has a warning about unary minus on unsigned integer types,
* but this is well-defined and precisely what we want to do here. */
#if defined(_MSC_VER)
#pragma warning( push )
#pragma warning( disable : 4146 )
#endif
/* make sure assign is 0 or 1 in a time-constant manner */
assign = (assign | (unsigned char)-assign) >> 7;
assign = (assign | (unsigned char)-assign) >> (sizeof( assign ) * 8 - 1);
/* all-bits 1 if assign is 1, all-bits 0 if assign is 0 */
limb_mask = -assign;
#if defined(_MSC_VER)
#pragma warning( pop )
#endif
MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, Y->n ) );
X->s = X->s * ( 1 - assign ) + Y->s * assign;
X->s = mpi_safe_cond_select_sign( X->s, Y->s, assign );
mpi_safe_cond_assign( Y->n, X->p, Y->p, assign );
for( i = Y->n; i < X->n; i++ )
X->p[i] *= ( 1 - assign );
X->p[i] &= ~limb_mask;
cleanup:
return( ret );
@@ -321,6 +380,7 @@ int mbedtls_mpi_safe_cond_swap( mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char sw
{
int ret, s;
size_t i;
mbedtls_mpi_uint limb_mask;
mbedtls_mpi_uint tmp;
MPI_VALIDATE_RET( X != NULL );
MPI_VALIDATE_RET( Y != NULL );
@@ -328,22 +388,35 @@ int mbedtls_mpi_safe_cond_swap( mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char sw
if( X == Y )
return( 0 );
/* MSVC has a warning about unary minus on unsigned integer types,
* but this is well-defined and precisely what we want to do here. */
#if defined(_MSC_VER)
#pragma warning( push )
#pragma warning( disable : 4146 )
#endif
/* make sure swap is 0 or 1 in a time-constant manner */
swap = (swap | (unsigned char)-swap) >> 7;
swap = (swap | (unsigned char)-swap) >> (sizeof( swap ) * 8 - 1);
/* all-bits 1 if swap is 1, all-bits 0 if swap is 0 */
limb_mask = -swap;
#if defined(_MSC_VER)
#pragma warning( pop )
#endif
MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, Y->n ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_grow( Y, X->n ) );
s = X->s;
X->s = X->s * ( 1 - swap ) + Y->s * swap;
Y->s = Y->s * ( 1 - swap ) + s * swap;
X->s = mpi_safe_cond_select_sign( X->s, Y->s, swap );
Y->s = mpi_safe_cond_select_sign( Y->s, s, swap );
for( i = 0; i < X->n; i++ )
{
tmp = X->p[i];
X->p[i] = X->p[i] * ( 1 - swap ) + Y->p[i] * swap;
Y->p[i] = Y->p[i] * ( 1 - swap ) + tmp * swap;
X->p[i] = ( X->p[i] & ~limb_mask ) | ( Y->p[i] & limb_mask );
Y->p[i] = ( Y->p[i] & ~limb_mask ) | ( tmp & limb_mask );
}
cleanup:
@@ -2043,6 +2116,72 @@ static void mpi_montred( mbedtls_mpi *A, const mbedtls_mpi *N,
mpi_montmul( A, &U, N, mm, T );
}
/*
* Constant-flow boolean "equal" comparison:
* return x == y
*
* This function can be used to write constant-time code by replacing branches
* with bit operations - it can be used in conjunction with
* mbedtls_ssl_cf_mask_from_bit().
*
* This function is implemented without using comparison operators, as those
* might be translated to branches by some compilers on some platforms.
*/
static size_t mbedtls_mpi_cf_bool_eq( size_t x, size_t y )
{
/* diff = 0 if x == y, non-zero otherwise */
const size_t diff = x ^ y;
/* MSVC has a warning about unary minus on unsigned integer types,
* but this is well-defined and precisely what we want to do here. */
#if defined(_MSC_VER)
#pragma warning( push )
#pragma warning( disable : 4146 )
#endif
/* diff_msb's most significant bit is equal to x != y */
const size_t diff_msb = ( diff | (size_t) -diff );
#if defined(_MSC_VER)
#pragma warning( pop )
#endif
/* diff1 = (x != y) ? 1 : 0 */
const size_t diff1 = diff_msb >> ( sizeof( diff_msb ) * 8 - 1 );
return( 1 ^ diff1 );
}
/**
* Select an MPI from a table without leaking the index.
*
* This is functionally equivalent to mbedtls_mpi_copy(R, T[idx]) except it
* reads the entire table in order to avoid leaking the value of idx to an
* attacker able to observe memory access patterns.
*
* \param[out] R Where to write the selected MPI.
* \param[in] T The table to read from.
* \param[in] T_size The number of elements in the table.
* \param[in] idx The index of the element to select;
* this must satisfy 0 <= idx < T_size.
*
* \return \c 0 on success, or a negative error code.
*/
static int mpi_select( mbedtls_mpi *R, const mbedtls_mpi *T, size_t T_size, size_t idx )
{
int ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
size_t i;
for( i = 0; i < T_size; i++ )
{
MBEDTLS_MPI_CHK( mbedtls_mpi_safe_cond_assign( R, &T[i],
(unsigned char) mbedtls_mpi_cf_bool_eq( i, idx ) ) );
}
cleanup:
return( ret );
}
/*
* Sliding-window exponentiation: X = A^E mod N (HAC 14.85)
*/
@@ -2055,7 +2194,7 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
size_t i, j, nblimbs;
size_t bufsize, nbits;
mbedtls_mpi_uint ei, mm, state;
mbedtls_mpi RR, T, W[ 1 << MBEDTLS_MPI_WINDOW_SIZE ], Apos;
mbedtls_mpi RR, T, W[ 1 << MBEDTLS_MPI_WINDOW_SIZE ], WW, Apos;
int neg;
MPI_VALIDATE_RET( X != NULL );
@@ -2079,6 +2218,7 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
mpi_montg_init( &mm, N );
mbedtls_mpi_init( &RR ); mbedtls_mpi_init( &T );
mbedtls_mpi_init( &Apos );
mbedtls_mpi_init( &WW );
memset( W, 0, sizeof( W ) );
i = mbedtls_mpi_bitlen( E );
@@ -2228,7 +2368,8 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
/*
* X = X * W[wbits] R^-1 mod N
*/
mpi_montmul( X, &W[wbits], N, mm, &T );
MBEDTLS_MPI_CHK( mpi_select( &WW, W, (size_t) 1 << wsize, wbits ) );
mpi_montmul( X, &WW, N, mm, &T );
state--;
nbits = 0;
@@ -2266,6 +2407,7 @@ cleanup:
mbedtls_mpi_free( &W[i] );
mbedtls_mpi_free( &W[1] ); mbedtls_mpi_free( &T ); mbedtls_mpi_free( &Apos );
mbedtls_mpi_free( &WW );
if( _RR == NULL || _RR->p == NULL )
mbedtls_mpi_free( &RR );

123
library/ecp.c
View File

@@ -106,6 +106,7 @@
#include "mbedtls/ecp.h"
#include "mbedtls/threading.h"
#include "mbedtls/platform_util.h"
#include "mbedtls/bn_mul.h"
#include <string.h>
@@ -2968,6 +2969,97 @@ int mbedtls_ecp_muladd( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
}
#if defined(ECP_MONTGOMERY)
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
#define ECP_MPI_INIT(s, n, p) {s, (n), (mbedtls_mpi_uint *)(p)}
#define ECP_MPI_INIT_ARRAY(x) \
ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x)
/*
* Constants for the two points other than 0, 1, -1 (mod p) in
* https://cr.yp.to/ecdh.html#validate
* See ecp_check_pubkey_x25519().
*/
static const mbedtls_mpi_uint x25519_bad_point_1[] = {
MBEDTLS_BYTES_TO_T_UINT_8( 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x00 ),
};
static const mbedtls_mpi_uint x25519_bad_point_2[] = {
MBEDTLS_BYTES_TO_T_UINT_8( 0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0x57 ),
};
static const mbedtls_mpi ecp_x25519_bad_point_1 = ECP_MPI_INIT_ARRAY(
x25519_bad_point_1 );
static const mbedtls_mpi ecp_x25519_bad_point_2 = ECP_MPI_INIT_ARRAY(
x25519_bad_point_2 );
#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
/*
* Check that the input point is not one of the low-order points.
* This is recommended by the "May the Fourth" paper:
* https://eprint.iacr.org/2017/806.pdf
* Those points are never sent by an honest peer.
*/
static int ecp_check_bad_points_mx( const mbedtls_mpi *X, const mbedtls_mpi *P,
const mbedtls_ecp_group_id grp_id )
{
int ret;
mbedtls_mpi XmP;
mbedtls_mpi_init( &XmP );
/* Reduce X mod P so that we only need to check values less than P.
* We know X < 2^256 so we can proceed by subtraction. */
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &XmP, X ) );
while( mbedtls_mpi_cmp_mpi( &XmP, P ) >= 0 )
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &XmP, &XmP, P ) );
/* Check against the known bad values that are less than P. For Curve448
* these are 0, 1 and -1. For Curve25519 we check the values less than P
* from the following list: https://cr.yp.to/ecdh.html#validate */
if( mbedtls_mpi_cmp_int( &XmP, 1 ) <= 0 ) /* takes care of 0 and 1 */
{
ret = MBEDTLS_ERR_ECP_INVALID_KEY;
goto cleanup;
}
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
if( grp_id == MBEDTLS_ECP_DP_CURVE25519 )
{
if( mbedtls_mpi_cmp_mpi( &XmP, &ecp_x25519_bad_point_1 ) == 0 )
{
ret = MBEDTLS_ERR_ECP_INVALID_KEY;
goto cleanup;
}
if( mbedtls_mpi_cmp_mpi( &XmP, &ecp_x25519_bad_point_2 ) == 0 )
{
ret = MBEDTLS_ERR_ECP_INVALID_KEY;
goto cleanup;
}
}
#else
(void) grp_id;
#endif
/* Final check: check if XmP + 1 is P (final because it changes XmP!) */
MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &XmP, &XmP, 1 ) );
if( mbedtls_mpi_cmp_mpi( &XmP, P ) == 0 )
{
ret = MBEDTLS_ERR_ECP_INVALID_KEY;
goto cleanup;
}
ret = 0;
cleanup:
mbedtls_mpi_free( &XmP );
return( ret );
}
/*
* Check validity of a public key for Montgomery curves with x-only schemes
*/
@@ -2979,7 +3071,13 @@ static int ecp_check_pubkey_mx( const mbedtls_ecp_group *grp, const mbedtls_ecp_
if( mbedtls_mpi_size( &pt->X ) > ( grp->nbits + 7 ) / 8 )
return( MBEDTLS_ERR_ECP_INVALID_KEY );
return( 0 );
/* Implicit in all standards (as they don't consider negative numbers):
* X must be non-negative. This is normally ensured by the way it's
* encoded for transmission, but let's be extra sure. */
if( mbedtls_mpi_cmp_int( &pt->X, 0 ) < 0 )
return( MBEDTLS_ERR_ECP_INVALID_KEY );
return( ecp_check_bad_points_mx( &pt->X, &grp->P, grp->id ) );
}
#endif /* ECP_MONTGOMERY */
@@ -3057,6 +3155,11 @@ int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
{
int ret = MBEDTLS_ERR_ECP_BAD_INPUT_DATA;
size_t n_size;
#if defined(ECP_SHORTWEIERSTRASS)
mbedtls_mpi one;
mbedtls_mpi_init( &one );
#endif
ECP_VALIDATE_RET( grp != NULL );
ECP_VALIDATE_RET( d != NULL );
@@ -3097,7 +3200,10 @@ int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
{
/* SEC1 3.2.1: Generate d such that 1 <= n < N */
int count = 0;
unsigned cmp = 0;
unsigned lt_lower = 1, lt_upper = 0;
MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &one, grp->N.n ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &one, 1 ) );
/*
* Match the procedure given in RFC 6979 (deterministic ECDSA):
@@ -3121,19 +3227,22 @@ int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
* such as secp224k1 are actually very close to the worst case.
*/
if( ++count > 30 )
return( MBEDTLS_ERR_ECP_RANDOM_FAILED );
ret = mbedtls_mpi_lt_mpi_ct( d, &grp->N, &cmp );
if( ret != 0 )
{
ret = MBEDTLS_ERR_ECP_RANDOM_FAILED;
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_mpi_lt_mpi_ct( d, &grp->N, &lt_upper ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_lt_mpi_ct( d, &one, &lt_lower ) );
}
while( mbedtls_mpi_cmp_int( d, 1 ) < 0 || cmp != 1 );
while( lt_lower != 0 || lt_upper == 0 );
}
#endif /* ECP_SHORTWEIERSTRASS */
cleanup:
#if defined(ECP_SHORTWEIERSTRASS)
mbedtls_mpi_free( &one );
#endif
return( ret );
}

663
library/ecp_curves.c
View File

@@ -54,6 +54,7 @@
#include "mbedtls/ecp.h"
#include "mbedtls/platform_util.h"
#include "mbedtls/bn_mul.h"
#include <string.h>
@@ -70,44 +71,10 @@
#define inline __inline
#endif
/*
* Conversion macros for embedded constants:
* build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
*/
#if defined(MBEDTLS_HAVE_INT32)
#define ECP_MPI_INIT(s, n, p) {s, (n), (mbedtls_mpi_uint *)(p)}
#define BYTES_TO_T_UINT_4( a, b, c, d ) \
( (mbedtls_mpi_uint) (a) << 0 ) | \
( (mbedtls_mpi_uint) (b) << 8 ) | \
( (mbedtls_mpi_uint) (c) << 16 ) | \
( (mbedtls_mpi_uint) (d) << 24 )
#define BYTES_TO_T_UINT_2( a, b ) \
BYTES_TO_T_UINT_4( a, b, 0, 0 )
#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
BYTES_TO_T_UINT_4( a, b, c, d ), \
BYTES_TO_T_UINT_4( e, f, g, h )
#else /* 64-bits */
#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
( (mbedtls_mpi_uint) (a) << 0 ) | \
( (mbedtls_mpi_uint) (b) << 8 ) | \
( (mbedtls_mpi_uint) (c) << 16 ) | \
( (mbedtls_mpi_uint) (d) << 24 ) | \
( (mbedtls_mpi_uint) (e) << 32 ) | \
( (mbedtls_mpi_uint) (f) << 40 ) | \
( (mbedtls_mpi_uint) (g) << 48 ) | \
( (mbedtls_mpi_uint) (h) << 56 )
#define BYTES_TO_T_UINT_4( a, b, c, d ) \
BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
#define BYTES_TO_T_UINT_2( a, b ) \
BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
#endif /* bits in mbedtls_mpi_uint */
#define ECP_MPI_INIT_ARRAY(x) \
ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x)
/*
* Note: the constants are in little-endian order
@@ -119,29 +86,29 @@
*/
#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
static const mbedtls_mpi_uint secp192r1_p[] = {
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const mbedtls_mpi_uint secp192r1_b[] = {
BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
};
static const mbedtls_mpi_uint secp192r1_gx[] = {
BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
};
static const mbedtls_mpi_uint secp192r1_gy[] = {
BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
};
static const mbedtls_mpi_uint secp192r1_n[] = {
BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
@@ -150,34 +117,34 @@ static const mbedtls_mpi_uint secp192r1_n[] = {
*/
#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
static const mbedtls_mpi_uint secp224r1_p[] = {
BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
};
static const mbedtls_mpi_uint secp224r1_b[] = {
BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
MBEDTLS_BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
};
static const mbedtls_mpi_uint secp224r1_gx[] = {
BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
MBEDTLS_BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
};
static const mbedtls_mpi_uint secp224r1_gy[] = {
BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
MBEDTLS_BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
};
static const mbedtls_mpi_uint secp224r1_n[] = {
BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
@@ -186,34 +153,34 @@ static const mbedtls_mpi_uint secp224r1_n[] = {
*/
#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
static const mbedtls_mpi_uint secp256r1_p[] = {
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const mbedtls_mpi_uint secp256r1_b[] = {
BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
};
static const mbedtls_mpi_uint secp256r1_gx[] = {
BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
};
static const mbedtls_mpi_uint secp256r1_gy[] = {
BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
};
static const mbedtls_mpi_uint secp256r1_n[] = {
BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
@@ -222,44 +189,44 @@ static const mbedtls_mpi_uint secp256r1_n[] = {
*/
#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
static const mbedtls_mpi_uint secp384r1_p[] = {
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const mbedtls_mpi_uint secp384r1_b[] = {
BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
};
static const mbedtls_mpi_uint secp384r1_gx[] = {
BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
};
static const mbedtls_mpi_uint secp384r1_gy[] = {
BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
};
static const mbedtls_mpi_uint secp384r1_n[] = {
BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
@@ -268,154 +235,154 @@ static const mbedtls_mpi_uint secp384r1_n[] = {
*/
#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
static const mbedtls_mpi_uint secp521r1_p[] = {
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
};
static const mbedtls_mpi_uint secp521r1_b[] = {
BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
BYTES_TO_T_UINT_2( 0x51, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x51, 0x00 ),
};
static const mbedtls_mpi_uint secp521r1_gx[] = {
BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
};
static const mbedtls_mpi_uint secp521r1_gy[] = {
BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
BYTES_TO_T_UINT_2( 0x18, 0x01 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x18, 0x01 ),
};
static const mbedtls_mpi_uint secp521r1_n[] = {
BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
};
#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
static const mbedtls_mpi_uint secp192k1_p[] = {
BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const mbedtls_mpi_uint secp192k1_a[] = {
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x00, 0x00 ),
};
static const mbedtls_mpi_uint secp192k1_b[] = {
BYTES_TO_T_UINT_2( 0x03, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x03, 0x00 ),
};
static const mbedtls_mpi_uint secp192k1_gx[] = {
BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
};
static const mbedtls_mpi_uint secp192k1_gy[] = {
BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
};
static const mbedtls_mpi_uint secp192k1_n[] = {
BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
static const mbedtls_mpi_uint secp224k1_p[] = {
BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const mbedtls_mpi_uint secp224k1_a[] = {
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x00, 0x00 ),
};
static const mbedtls_mpi_uint secp224k1_b[] = {
BYTES_TO_T_UINT_2( 0x05, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x05, 0x00 ),
};
static const mbedtls_mpi_uint secp224k1_gx[] = {
BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
MBEDTLS_BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
};
static const mbedtls_mpi_uint secp224k1_gy[] = {
BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
MBEDTLS_BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
};
static const mbedtls_mpi_uint secp224k1_n[] = {
BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
};
#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
static const mbedtls_mpi_uint secp256k1_p[] = {
BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const mbedtls_mpi_uint secp256k1_a[] = {
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x00, 0x00 ),
};
static const mbedtls_mpi_uint secp256k1_b[] = {
BYTES_TO_T_UINT_2( 0x07, 0x00 ),
MBEDTLS_BYTES_TO_T_UINT_2( 0x07, 0x00 ),
};
static const mbedtls_mpi_uint secp256k1_gx[] = {
BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
};
static const mbedtls_mpi_uint secp256k1_gy[] = {
BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
};
static const mbedtls_mpi_uint secp256k1_n[] = {
BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
@@ -424,40 +391,40 @@ static const mbedtls_mpi_uint secp256k1_n[] = {
*/
#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
};
static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
};
static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
};
static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
};
static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
};
static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
};
#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
@@ -466,52 +433,52 @@ static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
*/
#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
};
static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
};
static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
};
static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
};
static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
};
static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
};
#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
@@ -520,64 +487,64 @@ static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
*/
#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
};
static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
};
static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
};
static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
};
static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
};
static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
MBEDTLS_BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
};
#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
@@ -689,6 +656,13 @@ static int ecp_mod_p256k1( mbedtls_mpi * );
G ## _n, sizeof( G ## _n ) )
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
/* Constants used by ecp_use_curve25519() */
static const mbedtls_mpi_sint curve25519_a24 = 0x01DB42;
static const unsigned char curve25519_part_of_n[] = {
0x14, 0xDE, 0xF9, 0xDE, 0xA2, 0xF7, 0x9C, 0xD6,
0x58, 0x12, 0x63, 0x1A, 0x5C, 0xF5, 0xD3, 0xED,
};
/*
* Specialized function for creating the Curve25519 group
*/
@@ -697,7 +671,7 @@ static int ecp_use_curve25519( mbedtls_ecp_group *grp )
int ret;
/* Actually ( A + 2 ) / 4 */
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->A, curve25519_a24 ) );
/* P = 2^255 - 19 */
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
@@ -706,8 +680,8 @@ static int ecp_use_curve25519( mbedtls_ecp_group *grp )
grp->pbits = mbedtls_mpi_bitlen( &grp->P );
/* N = 2^252 + 27742317777372353535851937790883648493 */
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->N, 16,
"14DEF9DEA2F79CD65812631A5CF5D3ED" ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &grp->N,
curve25519_part_of_n, sizeof( curve25519_part_of_n ) ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 252, 1 ) );
/* Y intentionally not set, since we use x/z coordinates.
@@ -728,6 +702,15 @@ cleanup:
#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
/* Constants used by ecp_use_curve448() */
static const mbedtls_mpi_sint curve448_a24 = 0x98AA;
static const unsigned char curve448_part_of_n[] = {
0x83, 0x35, 0xDC, 0x16, 0x3B, 0xB1, 0x24,
0xB6, 0x51, 0x29, 0xC9, 0x6F, 0xDE, 0x93,
0x3D, 0x8D, 0x72, 0x3A, 0x70, 0xAA, 0xDC,
0x87, 0x3D, 0x6D, 0x54, 0xA7, 0xBB, 0x0D,
};
/*
* Specialized function for creating the Curve448 group
*/
@@ -739,7 +722,7 @@ static int ecp_use_curve448( mbedtls_ecp_group *grp )
mbedtls_mpi_init( &Ns );
/* Actually ( A + 2 ) / 4 */
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "98AA" ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->A, curve448_a24 ) );
/* P = 2^448 - 2^224 - 1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
@@ -757,8 +740,8 @@ static int ecp_use_curve448( mbedtls_ecp_group *grp )
/* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 446, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &Ns, 16,
"8335DC163BB124B65129C96FDE933D8D723A70AADC873D6D54A7BB0D" ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &Ns,
curve448_part_of_n, sizeof( curve448_part_of_n ) ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &grp->N, &grp->N, &Ns ) );
/* Actually, the required msb for private keys */
@@ -1452,9 +1435,11 @@ cleanup:
static int ecp_mod_p192k1( mbedtls_mpi *N )
{
static mbedtls_mpi_uint Rp[] = {
BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
MBEDTLS_BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00,
0x00 ) };
return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0,
0 ) );
}
#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
@@ -1466,12 +1451,14 @@ static int ecp_mod_p192k1( mbedtls_mpi *N )
static int ecp_mod_p224k1( mbedtls_mpi *N )
{
static mbedtls_mpi_uint Rp[] = {
BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
MBEDTLS_BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00,
0x00 ) };
#if defined(MBEDTLS_HAVE_INT64)
return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
#else
return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0,
0 ) );
#endif
}
@@ -1485,8 +1472,10 @@ static int ecp_mod_p224k1( mbedtls_mpi *N )
static int ecp_mod_p256k1( mbedtls_mpi *N )
{
static mbedtls_mpi_uint Rp[] = {
BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
MBEDTLS_BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00,
0x00 ) };
return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0,
0 ) );
}
#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */

126
tests/suites/test_suite_ecp.data
View File

@@ -36,13 +36,133 @@ ECP curve info #8
depends_on:MBEDTLS_ECP_DP_SECP192R1_ENABLED
mbedtls_ecp_curve_info:MBEDTLS_ECP_DP_SECP192R1:19:192:"secp192r1"
ECP check pubkey Montgomery #1 (too big)
ECP check pubkey Curve25519 #1 (biggest)
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF":"0":"1":0
ECP check pubkey Curve25519 #2 (too big)
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"010000000000000000000000000000000000000000000000000000000000000000":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Montgomery #2 (biggest)
ECP check pubkey Curve25519 #3 (DoS big)
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF":"0":"1":0
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"0100000000000000000000000000000000000000000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve25519 y ignored
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"2":"-1":"1":0
ECP check pubkey Curve25519 z is not 1
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"2":"0":"2":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve25519 x negative
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"-2":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #1
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"0":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #2
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"1":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #3 (let's call this u)
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"b8495f16056286fdb1329ceb8d09da6ac49ff1fae35616aeb8413b7c7aebe0":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #4 (let's call this v)
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"57119fd0dd4e22d8868e1c58c45c44045bef839c55b1d0b1248c50a3bc959c5f":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #5 p-1
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #6 p
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #7 p+1
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffee":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #8 p+u
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"80b8495f16056286fdb1329ceb8d09da6ac49ff1fae35616aeb8413b7c7aebcd":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #9 p+v
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"d7119fd0dd4e22d8868e1c58c45c44045bef839c55b1d0b1248c50a3bc959c4c":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #10 2p-1
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd9":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #11 2p
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffda":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
# see https://cr.yp.to/ecdh.html#validate
ECP check pubkey Curve25519 low-order point #12 2p+1
depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE25519:"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdb":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 #1 (biggest)
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF":"0":"1":0
ECP check pubkey Curve448 #2 (too big)
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 #3 (DoS big)
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"0100000000000000000000000000000000000000000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 y ignored
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"2":"-1":"1":0
ECP check pubkey Curve448 z is not 1
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"2":"0":"2":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 x negative
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"-2":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 low-order point #1
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"0":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 low-order point #2
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"1":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 low-order point #3 p-1
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 low-order point #4 p
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Curve448 low-order point #5 p+1
depends_on:MBEDTLS_ECP_DP_CURVE448_ENABLED
ecp_check_pub:MBEDTLS_ECP_DP_CURVE448:"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000000000000000000000000000000000000000000000":"0":"1":MBEDTLS_ERR_ECP_INVALID_KEY
ECP check pubkey Koblitz #1 (point not on curve)
depends_on:MBEDTLS_ECP_DP_SECP224K1_ENABLED

4
tests/suites/test_suite_ecp.function
View File

@@ -393,6 +393,8 @@ void mbedtls_ecp_curve_info( int id, int tls_id, int size, char * name )
TEST_ASSERT( by_id == by_name );
TEST_ASSERT( by_id->bit_size == size );
TEST_ASSERT( size <= MBEDTLS_ECP_MAX_BITS );
TEST_ASSERT( size <= MBEDTLS_ECP_MAX_BYTES * 8 );
}
/* END_CASE */
@@ -750,6 +752,7 @@ void ecp_muladd( int id,
TEST_EQUAL( 0, mbedtls_ecp_point_write_binary(
&grp, &R, MBEDTLS_ECP_PF_UNCOMPRESSED,
&len, actual_result, sizeof( actual_result ) ) );
TEST_ASSERT( len <= MBEDTLS_ECP_MAX_PT_LEN );
ASSERT_COMPARE( expected_result->x, expected_result->len,
actual_result, len );
@@ -821,6 +824,7 @@ void ecp_write_binary( int id, char * x, char * y, char * z, int format,
if( ret == 0 )
{
TEST_ASSERT( olen <= MBEDTLS_ECP_MAX_PT_LEN );
TEST_ASSERT( mbedtls_test_hexcmp( buf, out->x, olen, out->len ) == 0 );
}

4
tests/suites/test_suite_version.data
View File

@@ -1,8 +1,8 @@
Check compiletime library version
check_compiletime_version:"2.16.10"
check_compiletime_version:"2.16.11"
Check runtime library version
check_runtime_version:"2.16.10"
check_runtime_version:"2.16.11"
Check for MBEDTLS_VERSION_C
check_feature:"MBEDTLS_VERSION_C":0