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Recently, Tsai and Hsiang et al. each proposed a multi-server authentication protocol. They claimed their protocols are secure and can withstand various attacks. However, after the analysis, the authors found some security loopholes in each protocol. They will first show the attacks on their schemes and then present ours. After the security analysis, they conclude that the scheme is the most secure one among all of the proposed protocols in multi-server environments nowadays. For password-based authentication protocols using smart cards are widely used in an open network. A two-party password authentication protocol for client-server architecture is therefore not sufficient when networks are getting larger and larger.
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