An enhanced ID-based remote mutual authentication with key agreement protocol for mobile devices on elliptic curve cryptosystem

Recently, Yoon et al. and Wu proposed two improved remote mutual authentication and key agreement scheme for mobile devices on elliptic curve cryptosystem. In this paper, we show that Yoon et al.’s protocol fails to provide explicit key perfect forward secrecy and fails to achieve explicit key confirmation. We also point out Wu’s scheme decreases efficiency by using the double secret keys and is vulnerable to the password guessing attack and the forgery attack. In order to overcome the drawback, we proposed and improved scheme. Through the comparison with other protocol, we believe that our improved scheme is more suitable for real-life applications.