diff --git a/ChangeLog.d/reject-low-order-points-early.txt b/ChangeLog.d/reject-low-order-points-early.txt new file mode 100644 index 000000000..eb735697a --- /dev/null +++ b/ChangeLog.d/reject-low-order-points-early.txt @@ -0,0 +1,6 @@ +Security + * 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. diff --git a/include/mbedtls/bn_mul.h b/include/mbedtls/bn_mul.h index 17d057f3a..a0fa67740 100644 --- a/include/mbedtls/bn_mul.h +++ b/include/mbedtls/bn_mul.h @@ -44,6 +44,46 @@ #include "mbedtls/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 diff --git a/library/ecp.c b/library/ecp.c index f74870496..ca49f9941 100644 --- a/library/ecp.c +++ b/library/ecp.c @@ -76,6 +76,7 @@ #include "mbedtls/threading.h" #include "mbedtls/platform_util.h" #include "mbedtls/error.h" +#include "mbedtls/bn_mul.h" #include "ecp_invasive.h" @@ -2935,6 +2936,97 @@ int mbedtls_ecp_muladd( mbedtls_ecp_group *grp, mbedtls_ecp_point *R, #endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */ #if defined(MBEDTLS_ECP_MONTGOMERY_ENABLED) +#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 */ @@ -2946,7 +3038,13 @@ 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 /* MBEDTLS_ECP_MONTGOMERY_ENABLED */ diff --git a/library/ecp_curves.c b/library/ecp_curves.c index 165c315d1..ff26a18e8 100644 --- a/library/ecp_curves.c +++ b/library/ecp_curves.c @@ -24,6 +24,7 @@ #include "mbedtls/ecp.h" #include "mbedtls/platform_util.h" #include "mbedtls/error.h" +#include "mbedtls/bn_mul.h" #include "ecp_invasive.h" @@ -42,44 +43,10 @@ #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 @@ -91,29 +58,29 @@ */ #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 */ @@ -122,34 +89,34 @@ 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 */ @@ -158,34 +125,34 @@ 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 */ @@ -194,44 +161,44 @@ 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 */ @@ -240,154 +207,154 @@ 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 */ @@ -396,40 +363,40 @@ 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 */ @@ -438,52 +405,52 @@ 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 */ @@ -492,64 +459,64 @@ 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 */ @@ -680,6 +647,13 @@ static int ecp_mod_p256k1( mbedtls_mpi * ); #endif /* ECP_LOAD_GROUP */ #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 */ @@ -688,7 +662,7 @@ static int ecp_use_curve25519( mbedtls_ecp_group *grp ) int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED; /* 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 ) ); @@ -697,8 +671,8 @@ 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. @@ -719,6 +693,15 @@ 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 */ @@ -730,7 +713,7 @@ 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 ) ); @@ -748,8 +731,8 @@ 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 */ @@ -1446,9 +1429,11 @@ 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 */ @@ -1460,12 +1445,14 @@ 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 } @@ -1479,8 +1466,10 @@ 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 */ diff --git a/tests/suites/test_suite_ecp.data b/tests/suites/test_suite_ecp.data index 5f92ca459..79912ebc3 100644 --- a/tests/suites/test_suite_ecp.data +++ b/tests/suites/test_suite_ecp.data @@ -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 @@ -476,15 +596,15 @@ ecp_test_mul:MBEDTLS_ECP_DP_CURVE25519:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2 ECP point multiplication Curve25519 (element of order 2: origin) #3 depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED -ecp_test_mul:MBEDTLS_ECP_DP_CURVE25519:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"00":"00":"01":"00":"01":"00":MBEDTLS_ERR_MPI_NOT_ACCEPTABLE +ecp_test_mul:MBEDTLS_ECP_DP_CURVE25519:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"00":"00":"01":"00":"01":"00":MBEDTLS_ERR_ECP_INVALID_KEY ECP point multiplication Curve25519 (element of order 4: 1) #4 depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED -ecp_test_mul:MBEDTLS_ECP_DP_CURVE25519:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"01":"00":"01":"00":"01":"00":MBEDTLS_ERR_MPI_NOT_ACCEPTABLE +ecp_test_mul:MBEDTLS_ECP_DP_CURVE25519:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"01":"00":"01":"00":"01":"00":MBEDTLS_ERR_ECP_INVALID_KEY ECP point multiplication Curve25519 (element of order 8) #5 depends_on:MBEDTLS_ECP_DP_CURVE25519_ENABLED -ecp_test_mul:MBEDTLS_ECP_DP_CURVE25519:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"B8495F16056286FDB1329CEB8D09DA6AC49FF1FAE35616AEB8413B7C7AEBE0":"00":"01":"00":"01":"00":MBEDTLS_ERR_MPI_NOT_ACCEPTABLE +ecp_test_mul:MBEDTLS_ECP_DP_CURVE25519:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"B8495F16056286FDB1329CEB8D09DA6AC49FF1FAE35616AEB8413B7C7AEBE0":"00":"01":"00":"01":"00":MBEDTLS_ERR_ECP_INVALID_KEY ECP point multiplication rng fail secp256r1 depends_on:MBEDTLS_ECP_DP_SECP256R1_ENABLED