Commit 195cacf2 authored by Davide Galassi's avatar Davide Galassi

ECP secure NIST and Brainpool curves parameters

parent bbc53b75
......@@ -22,7 +22,7 @@ CRY_COVERAGE=y
#CRY_ARCH_x86=y
################################################################################
# Algorithms
# Algorithms tweaks
################################################################################
# Use Extended Euclidean Algorithm to compute inverse.
......@@ -48,6 +48,22 @@ CRY_ECP_MUL_WIN=y
# Have precedence against the simple windowed one.
CRY_ECP_MUL_SLIDING_WIN=y
################################################################################
# Elliptic curves group parameters
################################################################################
CRY_ECP_GRP_SECP192R1_ENABLE=y
CRY_ECP_GRP_SECP224R1_ENABLE=y
CRY_ECP_GRP_SECP256R1_ENABLE=y
CRY_ECP_GRP_SECP384R1_ENABLE=y
CRY_ECP_GRP_SECP521R1_ENABLE=y
CRY_ECP_GRP_SECP192K1_ENABLE=y
CRY_ECP_GRP_SECP224K1_ENABLE=y
CRY_ECP_GRP_SECP256K1_ENABLE=y
CRY_ECP_GRP_BP256R1_ENABLE=y
CRY_ECP_GRP_BP384R1_ENABLE=y
CRY_ECP_GRP_BP512R1_ENABLE=y
################################################################################
# Miscelanea configurations
################################################################################
......
......@@ -8,6 +8,17 @@
#include <cry/mpi.h>
#define CRY_ECP_GRP_SECP192R1 0
#define CRY_ECP_GRP_SECP224R1 1
#define CRY_ECP_GRP_SECP256R1 2
#define CRY_ECP_GRP_SECP384R1 3
#define CRY_ECP_GRP_SECP521R1 4
#define CRY_ECP_GRP_SECP192K1 5
#define CRY_ECP_GRP_SECP224K1 6
#define CRY_ECP_GRP_SECP256K1 7
#define CRY_ECP_GRP_BP256R1 8
#define CRY_ECP_GRP_BP384R1 9
#define CRY_ECP_GRP_BP512R1 10
/**
* EC point
*/
......@@ -75,4 +86,7 @@ int cry_ecp_grp_init(cry_ecp_grp *ec);
void cry_ecp_grp_clear(cry_ecp_grp *ec);
int cry_ecp_grp_load(cry_ecp_grp *grp, int grp_id);
#endif /* CRY_ECP_H_ */
......@@ -43,11 +43,14 @@ typedef CRY_MPI_DIGIT_TYPE cry_mpi_digit;
/** Number of bits in one digit */
#define CRY_MPI_DIGIT_BITS (CRY_MPI_DIGIT_BYTES << 3)
/**
* MPI structure.
*/
struct cry_mpi {
int sign;
size_t used;
size_t alloc;
cry_mpi_digit *data;
int sign; /**< Non-zero if negative */
size_t used; /**< Number of used digits */
size_t alloc; /**< Allocated digits */
cry_mpi_digit *data; /**< Pointer to digits */
};
typedef struct cry_mpi cry_mpi;
......
......@@ -35,9 +35,8 @@ int cry_ecp_grp_init(cry_ecp_grp *ec)
res = cry_mpi_init_list(&ec->p, &ec->a, &ec->b, &ec->n,
&ec->g.x, &ec->g.y, &ec->g.z,
(cry_mpi *) NULL);
if (res == 0) {
if (res == 0)
cry_ecp_set_zero(&ec->g);
}
return res;
}
......
#include <cry/ecp.h>
#include <cry/config.h>
/* NIST Curve P-256 parameters */
#if CRY_MPI_DIGIT_MAX == 255UL
int cry_ecp_grp_set_nist_p256(cry_ecp_grp *ec)
# define BYTES_TO_DIGITS_2( a, b ) \
a, b
# define BYTES_TO_DIGITS_4( a, b, c, d ) \
BYTES_TO_DIGITS_2( a, b ), \
BYTES_TO_DIGITS_2( c, d )
# define BYTES_TO_DIGITS_8( a, b, c, d, e, f, g, h ) \
BYTES_TO_DIGITS_4(a, b, c, d), \
BYTES_TO_DIGITS_4(e, f, g, h)
#elif CRY_MPI_DIGIT_MAX == 65535UL
# define BYTES_TO_DIGITS_W(a, b) \
((cry_mpi_digit) a << 0) | ((cry_mpi_digit) b << 8)
# define BYTES_TO_DIGITS_2(a, b) \
BYTES_TO_DIGITS_W(a, b)
# define BYTES_TO_DIGITS_4(a, b, c, d) \
BYTES_TO_DIGITS_2(a, b), \
BYTES_TO_DIGITS_2(c, d)
# define BYTES_TO_DIGITS_8( a, b, c, d, e, f, g, h ) \
BYTES_TO_DIGITS_4(a, b, c, d), \
BYTES_TO_DIGITS_4(e, f, g, h)
#elif CRY_MPI_DIGIT_MAX == 4294967295UL
# define BYTES_TO_DIGITS_W(a, b, c, d) \
((cry_mpi_digit) a << 0 ) | ((cry_mpi_digit) b << 8) | \
((cry_mpi_digit) c << 16 ) | ((cry_mpi_digit) d << 24)
# define BYTES_TO_DIGITS_2(a, b) \
BYTES_TO_DIGITS_W(a, b, 0, 0)
# define BYTES_TO_DIGITS_4(a, b, c, d) \
BYTES_TO_DIGITS_W(a, b, c, d)
# define BYTES_TO_DIGITS_8( a, b, c, d, e, f, g, h ) \
BYTES_TO_DIGITS_4(a, b, c, d), \
BYTES_TO_DIGITS_4(e, f, g, h)
#elif CRY_MPI_DIGIT_MAX == 18446744073709551615UL
# define BYTES_TO_DIGITS_W( a, b, c, d, e, f, g, h ) \
((cry_mpi_digit) a << 0 ) | ((cry_mpi_digit) b << 8) | \
((cry_mpi_digit) c << 16 ) | ((cry_mpi_digit) d << 24) | \
((cry_mpi_digit) e << 32 ) | ((cry_mpi_digit) f << 40) | \
((cry_mpi_digit) g << 48 ) | ((cry_mpi_digit) h << 56)
# define BYTES_TO_DIGITS_2(a, b) \
BYTES_TO_DIGITS_W(a, b, 0, 0, 0, 0, 0, 0)
# define BYTES_TO_DIGITS_4(a, b, c, d) \
BYTES_TO_DIGITS_W(a, b, c, d, 0, 0, 0, 0)
# define BYTES_TO_DIGITS_8(a, b, c, d, e, f, g, h) \
BYTES_TO_DIGITS_W(a, b, c, d, e, f, g, h)
#else
# error "Invalid DIGIT_MAX value"
#endif
/*
* Domain parameters for secp192r1
*/
#ifdef CRY_ECP_GRP_SECP192R1_ENABLE
static const cry_mpi_digit secp192r1_p[] = {
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#define secp192r1_a NULL
static const cry_mpi_digit secp192r1_b[] = {
BYTES_TO_DIGITS_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
BYTES_TO_DIGITS_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
BYTES_TO_DIGITS_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
};
static const cry_mpi_digit secp192r1_gx[] = {
BYTES_TO_DIGITS_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
BYTES_TO_DIGITS_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
BYTES_TO_DIGITS_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
};
static const cry_mpi_digit secp192r1_gy[] = {
BYTES_TO_DIGITS_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
BYTES_TO_DIGITS_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
BYTES_TO_DIGITS_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
};
static const cry_mpi_digit secp192r1_n[] = {
BYTES_TO_DIGITS_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
BYTES_TO_DIGITS_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* ~CRY_ECP_GRP_SECP192R1_ENABLE */
/*
* Domain parameters for secp224r1
*/
#ifdef CRY_ECP_GRP_SECP224R1_ENABLE
static const cry_mpi_digit secp224r1_p[] = {
BYTES_TO_DIGITS_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_DIGITS_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
};
#define secp224r1_a NULL
static const cry_mpi_digit secp224r1_b[] = {
BYTES_TO_DIGITS_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
BYTES_TO_DIGITS_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
BYTES_TO_DIGITS_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
BYTES_TO_DIGITS_4( 0x85, 0x0A, 0x05, 0xB4 ),
};
static const cry_mpi_digit secp224r1_gx[] = {
BYTES_TO_DIGITS_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
BYTES_TO_DIGITS_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
BYTES_TO_DIGITS_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
BYTES_TO_DIGITS_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
};
static const cry_mpi_digit secp224r1_gy[] = {
BYTES_TO_DIGITS_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
BYTES_TO_DIGITS_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
BYTES_TO_DIGITS_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
BYTES_TO_DIGITS_4( 0x88, 0x63, 0x37, 0xBD ),
};
static const cry_mpi_digit secp224r1_n[] = {
BYTES_TO_DIGITS_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
BYTES_TO_DIGITS_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_4( 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* ~CRY_ECP_GRP_SECP224R1_ENABLE */
/*
* Domain parameters for secp256r1
*/
#ifdef CRY_ECP_GRP_SECP256R1_ENABLE
static const cry_mpi_digit secp256r1_p[] = {
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_DIGITS_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_DIGITS_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#define secp256r1_a NULL
static const cry_mpi_digit secp256r1_b[] = {
BYTES_TO_DIGITS_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
BYTES_TO_DIGITS_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
BYTES_TO_DIGITS_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
BYTES_TO_DIGITS_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
};
static const cry_mpi_digit secp256r1_gx[] = {
BYTES_TO_DIGITS_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
BYTES_TO_DIGITS_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
BYTES_TO_DIGITS_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
BYTES_TO_DIGITS_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
};
static const cry_mpi_digit secp256r1_gy[] = {
BYTES_TO_DIGITS_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
BYTES_TO_DIGITS_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
BYTES_TO_DIGITS_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
BYTES_TO_DIGITS_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
};
static const cry_mpi_digit secp256r1_n[] = {
BYTES_TO_DIGITS_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
BYTES_TO_DIGITS_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* ~CRY_ECP_GRP_SECP256R1_ENABLE */
/*
* Domain parameters for secp384r1
*/
#ifdef CRY_ECP_GRP_SECP384R1_ENABLE
static const cry_mpi_digit secp384r1_p[] = {
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_DIGITS_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#define secp384r1_a NULL
static const cry_mpi_digit secp384r1_b[] = {
BYTES_TO_DIGITS_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
BYTES_TO_DIGITS_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
BYTES_TO_DIGITS_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
BYTES_TO_DIGITS_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
BYTES_TO_DIGITS_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
BYTES_TO_DIGITS_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
};
static const cry_mpi_digit secp384r1_gx[] = {
BYTES_TO_DIGITS_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
BYTES_TO_DIGITS_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
BYTES_TO_DIGITS_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
BYTES_TO_DIGITS_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
BYTES_TO_DIGITS_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
BYTES_TO_DIGITS_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
};
static const cry_mpi_digit secp384r1_gy[] = {
BYTES_TO_DIGITS_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
BYTES_TO_DIGITS_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
BYTES_TO_DIGITS_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
BYTES_TO_DIGITS_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
BYTES_TO_DIGITS_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
BYTES_TO_DIGITS_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
};
static const cry_mpi_digit secp384r1_n[] = {
BYTES_TO_DIGITS_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
BYTES_TO_DIGITS_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
BYTES_TO_DIGITS_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* ~CRY_ECP_GRP_SECP384R1_ENABLE */
/*
* Domain parameters for secp521r1
*/
#ifdef CRY_ECP_GRP_SECP521R1_ENABLE
static const cry_mpi_digit secp521r1_p[] = {
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_2( 0xFF, 0x01 ),
};
#define secp521r1_a NULL
static const cry_mpi_digit secp521r1_b[] = {
BYTES_TO_DIGITS_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
BYTES_TO_DIGITS_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
BYTES_TO_DIGITS_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
BYTES_TO_DIGITS_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
BYTES_TO_DIGITS_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
BYTES_TO_DIGITS_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
BYTES_TO_DIGITS_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
BYTES_TO_DIGITS_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
BYTES_TO_DIGITS_2( 0x51, 0x00 ),
};
static const cry_mpi_digit secp521r1_gx[] = {
BYTES_TO_DIGITS_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
BYTES_TO_DIGITS_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
BYTES_TO_DIGITS_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
BYTES_TO_DIGITS_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
BYTES_TO_DIGITS_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
BYTES_TO_DIGITS_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
BYTES_TO_DIGITS_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
BYTES_TO_DIGITS_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
BYTES_TO_DIGITS_2( 0xC6, 0x00 ),
};
static const cry_mpi_digit secp521r1_gy[] = {
BYTES_TO_DIGITS_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
BYTES_TO_DIGITS_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
BYTES_TO_DIGITS_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
BYTES_TO_DIGITS_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
BYTES_TO_DIGITS_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
BYTES_TO_DIGITS_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
BYTES_TO_DIGITS_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
BYTES_TO_DIGITS_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
BYTES_TO_DIGITS_2( 0x18, 0x01 ),
};
static const cry_mpi_digit secp521r1_n[] = {
BYTES_TO_DIGITS_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
BYTES_TO_DIGITS_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
BYTES_TO_DIGITS_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
BYTES_TO_DIGITS_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
BYTES_TO_DIGITS_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_2( 0xFF, 0x01 ),
};
#endif /* ~CRY_ECP_GRP_SECP521R1_ENABLE */
/*
* Domain parameters for secp192k1
*/
#ifdef CRY_ECP_GRP_SECP192K1_ENABLE
static const cry_mpi_digit secp192k1_p[] = {
BYTES_TO_DIGITS_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const cry_mpi_digit secp192k1_a[] = {
BYTES_TO_DIGITS_2( 0x00, 0x00 ),
};
static const cry_mpi_digit secp192k1_b[] = {
BYTES_TO_DIGITS_2( 0x03, 0x00 ),
};
static const cry_mpi_digit secp192k1_gx[] = {
BYTES_TO_DIGITS_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
BYTES_TO_DIGITS_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
BYTES_TO_DIGITS_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
};
static const cry_mpi_digit secp192k1_gy[] = {
BYTES_TO_DIGITS_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
BYTES_TO_DIGITS_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
BYTES_TO_DIGITS_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
};
static const cry_mpi_digit secp192k1_n[] = {
BYTES_TO_DIGITS_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
BYTES_TO_DIGITS_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* ~CRY_ECP_GRP_SECP192K1_ENABLE */
/*
* Domain parameters for secp224k1
*/
#ifdef CRY_ECP_GRP_SECP224K1_ENABLE
static const cry_mpi_digit secp224k1_p[] = {
BYTES_TO_DIGITS_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_4( 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const cry_mpi_digit secp224k1_a[] = {
BYTES_TO_DIGITS_2( 0x00, 0x00 ),
};
static const cry_mpi_digit secp224k1_b[] = {
BYTES_TO_DIGITS_2( 0x05, 0x00 ),
};
static const cry_mpi_digit secp224k1_gx[] = {
BYTES_TO_DIGITS_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
BYTES_TO_DIGITS_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
BYTES_TO_DIGITS_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
BYTES_TO_DIGITS_4( 0x33, 0x5B, 0x45, 0xA1 ),
};
static const cry_mpi_digit secp224k1_gy[] = {
BYTES_TO_DIGITS_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
BYTES_TO_DIGITS_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
BYTES_TO_DIGITS_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
BYTES_TO_DIGITS_4( 0xED, 0x9F, 0x08, 0x7E ),
};
static const cry_mpi_digit secp224k1_n[] = {
BYTES_TO_DIGITS_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
BYTES_TO_DIGITS_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
BYTES_TO_DIGITS_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
BYTES_TO_DIGITS_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
};
#endif /* ~CRY_ECP_GRP_SECP224K1_ENABLE */
/*
* Domain parameters for secp256k1
*/
#ifdef CRY_ECP_GRP_SECP256K1_ENABLE
static const cry_mpi_digit secp256k1_p[] = {
BYTES_TO_DIGITS_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
static const cry_mpi_digit secp256k1_a[] = {
BYTES_TO_DIGITS_2( 0x00, 0x00 ),
};
static const cry_mpi_digit secp256k1_b[] = {
BYTES_TO_DIGITS_2( 0x07, 0x00 ),
};
static const cry_mpi_digit secp256k1_gx[] = {
BYTES_TO_DIGITS_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
BYTES_TO_DIGITS_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
BYTES_TO_DIGITS_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
BYTES_TO_DIGITS_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
};
static const cry_mpi_digit secp256k1_gy[] = {
BYTES_TO_DIGITS_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
BYTES_TO_DIGITS_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
BYTES_TO_DIGITS_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
BYTES_TO_DIGITS_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
};
static const cry_mpi_digit secp256k1_n[] = {
BYTES_TO_DIGITS_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
BYTES_TO_DIGITS_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
BYTES_TO_DIGITS_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
BYTES_TO_DIGITS_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
};
#endif /* ~CRY_ECP_GRP_SECP256K1_ENABLE */
/*
* Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
*/
#ifdef CRY_ECP_GRP_BP256R1_ENABLE
static const cry_mpi_digit brainpoolP256r1_p[] = {
BYTES_TO_DIGITS_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
BYTES_TO_DIGITS_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
BYTES_TO_DIGITS_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
BYTES_TO_DIGITS_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
};
static const cry_mpi_digit brainpoolP256r1_a[] = {
BYTES_TO_DIGITS_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
BYTES_TO_DIGITS_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
BYTES_TO_DIGITS_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
BYTES_TO_DIGITS_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
};
static const cry_mpi_digit brainpoolP256r1_b[] = {
BYTES_TO_DIGITS_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
BYTES_TO_DIGITS_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
BYTES_TO_DIGITS_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
BYTES_TO_DIGITS_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
};
static const cry_mpi_digit brainpoolP256r1_gx[] = {
BYTES_TO_DIGITS_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
BYTES_TO_DIGITS_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
BYTES_TO_DIGITS_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
BYTES_TO_DIGITS_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
};
static const cry_mpi_digit brainpoolP256r1_gy[] = {
BYTES_TO_DIGITS_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
BYTES_TO_DIGITS_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
BYTES_TO_DIGITS_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
BYTES_TO_DIGITS_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
};
static const cry_mpi_digit brainpoolP256r1_n[] = {
BYTES_TO_DIGITS_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
BYTES_TO_DIGITS_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
BYTES_TO_DIGITS_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
BYTES_TO_DIGITS_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
};
#endif /* ~CRY_ECP_GRP_BP256R1_ENABLE */
/*
* Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
*/
#ifdef CRY_ECP_GRP_BP384R1_ENABLE
static const cry_mpi_digit brainpoolP384r1_p[] = {
BYTES_TO_DIGITS_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
BYTES_TO_DIGITS_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
BYTES_TO_DIGITS_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
BYTES_TO_DIGITS_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
BYTES_TO_DIGITS_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
BYTES_TO_DIGITS_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
};
static const cry_mpi_digit brainpoolP384r1_a[] = {
BYTES_TO_DIGITS_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
BYTES_TO_DIGITS_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
BYTES_TO_DIGITS_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
BYTES_TO_DIGITS_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
BYTES_TO_DIGITS_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
BYTES_TO_DIGITS_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
};
static const cry_mpi_digit brainpoolP384r1_b[] = {
BYTES_TO_DIGITS_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
BYTES_TO_DIGITS_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
BYTES_TO_DIGITS_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
BYTES_TO_DIGITS_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
BYTES_TO_DIGITS_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
BYTES_TO_DIGITS_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
};
static const cry_mpi_digit brainpoolP384r1_gx[] = {
BYTES_TO_DIGITS_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
BYTES_TO_DIGITS_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
BYTES_TO_DIGITS_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
BYTES_TO_DIGITS_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
BYTES_TO_DIGITS_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
BYTES_TO_DIGITS_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
};
static const cry_mpi_digit brainpoolP384r1_gy[] = {
BYTES_TO_DIGITS_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
BYTES_TO_DIGITS_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
BYTES_TO_DIGITS_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
BYTES_TO_DIGITS_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
BYTES_TO_DIGITS_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
BYTES_TO_DIGITS_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
};
static const cry_mpi_digit brainpoolP384r1_n[] = {
BYTES_TO_DIGITS_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
BYTES_TO_DIGITS_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
BYTES_TO_DIGITS_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
BYTES_TO_DIGITS_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
BYTES_TO_DIGITS_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
BYTES_TO_DIGITS_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
};
#endif /* ~CRY_ECP_GRP_BP384R1_ENABLE */
/*
* Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
*/
#ifdef CRY_ECP_GRP_BP512R1_ENABLE
static const cry_mpi_digit brainpoolP512r1_p[] = {
BYTES_TO_DIGITS_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
BYTES_TO_DIGITS_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
BYTES_TO_DIGITS_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
BYTES_TO_DIGITS_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
BYTES_TO_DIGITS_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
BYTES_TO_DIGITS_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
BYTES_TO_DIGITS_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
BYTES_TO_DIGITS_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
};
static const cry_mpi_digit brainpoolP512r1_a[] = {
BYTES_TO_DIGITS_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
BYTES_TO_DIGITS_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
BYTES_TO_DIGITS_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
BYTES_TO_DIGITS_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
BYTES_TO_DIGITS_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
BYTES_TO_DIGITS_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
BYTES_TO_DIGITS_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
BYTES_TO_DIGITS_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
};