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In the registration phase, the user sets his identity and password, at the same time, the system generates a random number and submit it with the identity, password, to obtain a security parameter. In the login and mutual authentication phase, the smart card and the server implement bidirectional authentication through Hash operation according to the identity, password and system security parameters entered by the user, so as to avoid the illegal login. In the phase of password modification, the user can change the password freely after confirming the validity of the user. Through the analysis of security performance, the scheme provides forward secrecy and user anonymity, and can resist denial of service attack, forgery attack, replay attack, Smart card loss attacks, password guessing attacks and server spoofing attacks. Compared with the existing schemes, the scheme provides high security while maintaining a low computational complexity. 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