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To authenticate the legitimacy of a remote user over insecure channel, password based remote user authentication scheme is widely used. In 1981, Lamport proposed the first well-known remote user authentication scheme without using encryption techniques. In this scheme, a password table is required to achieve the user authentication. However, high hash overhead and the necessity for password resetting decrease the suitability and practical use of Lamport's scheme. So far different types of password authentication schemes with smarts cards have been proposed, but none of them provide the ideal solution to the related problem of remote user authentication.
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