Password authentication, which is widely used for authenticated method, also is important protocol by requiring a username and password before being allowed access to resources. In 2001, Lin et al. proposed the optimal strong-password authentication protocol, called (OSPA) which is a one-time password method by verifying with the different verifier every time for affirming its identity. However, Chen-Ku and Tsuji-Shimizu pointed respectively out that OSPA is vulnerable to the stolen-verifier attack and impersonation attack. In this paper, we shall propose the improved protocol secure against the known attacks to enhance the security
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