Research on optimal techniques for software implementation of ECC over F_2~m field

In the implementation of ECC,the right choice of optimal techniques has tremendous effect on the performance of the cryptosystem.Aiming at the key operations in ECC over F2m ,this paper discusses the methods of optimal implementation of point adding,point doubling and scalar multiplication in this kind of ECC.Then it is proved that if these optimal techniques can be applied synthetically the performance of the ECC will be improved greatly.