there is no alternative EC_METHOD for curves over GF(2^m) (yet)

const EC_METHOD *EC_GFp_nist_method(void); /* TODO */

#endif

/* EC_METHODs for curves over GF(2^m).

 * EC_GF2m_simple_method provides the basis for the optimized methods.

/* EC_METHOD for curves over GF(2^m).

 */

const EC_METHOD *EC_GF2m_simple_method(void);