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Title "EC_GFp_simple_method 3" For nroff, turn off justification. Always turn off hyphenation; it makes
way too many mistakes in technical documents.
EC_GFp_simple_method, EC_GFp_mont_method, EC_GFp_nist_method, EC_GFp_nistp224_method, EC_GFp_nistp256_method, EC_GFp_nistp521_method, EC_GF2m_simple_method, EC_METHOD_get_field_type - Functions for obtaining EC_METHOD objects. Header "SYNOPSIS" .Vb 1 #include <openssl/ec.h> \& const EC_METHOD *EC_GFp_simple_method(void); const EC_METHOD *EC_GFp_mont_method(void); const EC_METHOD *EC_GFp_nist_method(void); const EC_METHOD *EC_GFp_nistp224_method(void); const EC_METHOD *EC_GFp_nistp256_method(void); const EC_METHOD *EC_GFp_nistp521_method(void); \& const EC_METHOD *EC_GF2m_simple_method(void); \& int EC_METHOD_get_field_type(const EC_METHOD *meth); .Ve Header "DESCRIPTION" The Elliptic Curve library provides a number of different implementations through a single common interface. When constructing a curve using EC_GROUP_new (see EC_GROUP_new\|(3)) an implementation method must be provided. The functions described here all return a const pointer to an \fB\s-1EC_METHOD\s0 structure that can be passed to \s-1EC_GROUP_NEW.\s0 It is important that the correct implementation type for the form of curve selected is used.

For F2^m curves there is only one implementation choice, i.e. EC_GF2_simple_method.

For Fp curves the lowest common denominator implementation is the EC_GFp_simple_method implementation. All other implementations are based on this one. EC_GFp_mont_method builds on EC_GFp_simple_method but adds the use of montgomery multiplication (see BN_mod_mul_montgomery\|(3)). EC_GFp_nist_method offers an implementation optimised for use with \s-1NIST\s0 recommended curves (\s-1NIST\s0 curves are available through EC_GROUP_new_by_curve_name as described in EC_GROUP_new\|(3)).

The functions EC_GFp_nistp224_method, EC_GFp_nistp256_method and EC_GFp_nistp521_method offer 64 bit optimised implementations for the \s-1NIST P224, P256\s0 and P521 curves respectively. Note, however, that these implementations are not available on all platforms.

EC_METHOD_get_field_type identifies what type of field the \s-1EC_METHOD\s0 structure supports, which will be either F2^m or Fp. If the field type is Fp then the value NID_X9_62_prime_field is returned. If the field type is F2^m then the value NID_X9_62_characteristic_two_field is returned. These values are defined in the obj_mac.h header file.

Header "RETURN VALUES" All EC_GFp* functions and EC_GF2m_simple_method always return a const pointer to an \s-1EC_METHOD\s0 structure.

EC_METHOD_get_field_type returns an integer that identifies the type of field the \s-1EC_METHOD\s0 structure supports.

Header "SEE ALSO" \fIcrypto\|(3), ec\|(3), EC_GROUP_new\|(3), EC_GROUP_copy\|(3), \fIEC_POINT_new\|(3), EC_POINT_add\|(3), EC_KEY_new\|(3), \fId2i_ECPKParameters\|(3), \fIBN_mod_mul_montgomery\|(3)