int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*group_get_curve_GFp)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
- /* used by EC_GROUP_set_generator, EC_GROUP_get0_generator,
- * EC_GROUP_get_order, EC_GROUP_get_cofactor:
- */
- int (*group_set_generator)(EC_GROUP *, const EC_POINT *generator,
- const BIGNUM *order, const BIGNUM *cofactor);
- EC_POINT *(*group_get0_generator)(const EC_GROUP *);
- int (*group_get_order)(const EC_GROUP *, BIGNUM *order, BN_CTX *);
- int (*group_get_cofactor)(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
-
/* used by EC_GROUP_check: */
int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
struct ec_group_st {
const EC_METHOD *meth;
+ EC_POINT *generator; /* optional */
+ BIGNUM order, cofactor;
+
+ int nid; /* optional NID for named curve */
+
void *extra_data;
void *(*extra_data_dup_func)(void *);
void (*extra_data_free_func)(void *);
void (*extra_data_clear_free_func)(void *);
- /* All members except 'meth' and 'extra_data...' are handled by
- * the method functions, even if they appear generic */
+ /* The following members are handled by the method functions,
+ * even if they appear generic */
BIGNUM field; /* Field specification.
- * For curves over GF(p), this is the modulus. */
+ * For curves over GF(p), this is the modulus;
+ * for curves over GF(2^m), this is the
+ * irreducible polynomial defining the field.
+ */
BIGNUM a, b; /* Curve coefficients.
* (Here the assumption is that BIGNUMs can be used
* For characteristic > 3, the curve is defined
* by a Weierstrass equation of the form
* y^2 = x^3 + a*x + b.
+ * For characteristic 2, the curve is defined by
+ * an equation of the form
+ * y^2 + x*y = x^3 + a*x^2 + b.
*/
- int a_is_minus3; /* enable optimized point arithmetics for special case */
-
- EC_POINT *generator; /* optional */
- BIGNUM order, cofactor;
- int nid;
+ int a_is_minus3; /* enable optimized point arithmetics for special case */
void *field_data1; /* method-specific (e.g., Montgomery structure) */
void *field_data2; /* method-specific */
int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
-int ec_GFp_simple_group_set_generator(EC_GROUP *, const EC_POINT *generator,
- const BIGNUM *order, const BIGNUM *cofactor);
-EC_POINT *ec_GFp_simple_group_get0_generator(const EC_GROUP *);
-int ec_GFp_simple_group_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
-int ec_GFp_simple_group_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
int ec_GFp_simple_point_init(EC_POINT *);
void ec_GFp_simple_point_finish(EC_POINT *);