Elliptic curve scalar multiplication algorithm using complementary recoding

Elliptic curve based cryptosystem is an efficient public key cryptosystem, which is more suitable for limited environments. The very expensive operation in elliptic curve based cryptographic protocol is the scalar multiplication. In this paper, scalar multiplication using complementary recoding method is proposed. The intermediate operations carried out in conversion are less than the other existing scalar multiplication algorithm. The efficiency of our proposed method is tested and found that our method is an efficient than the other methods.