摘要

The biometrics, the password and the storage device are the elements of the three-factor authentication. In 2013, Yeh et al. proposed a three-factor user authentication scheme based on elliptic curve cryptography. However, we find that it has weaknesses including useless user identity, ambiguous process, no session key and no mutual authentication. Also, it cannot resist the user forgery attack and the server spoofing attack. Moreover, Khan et al. propose a fingerprint-based remote authentication scheme with mobile devices. Unfortunately it cannot withstand the user impersonation attack and the De-synchronization attack. Furthermore, the user's identity cannot be anonymous, either. To overcome the disadvantages, we propose a new three-factor remote authentication scheme and give a formal proof with strong forward security. It could provide the user's privacy and is secure. Compared to some recent three-factor authentication schemes, our scheme is secure and practical.