A chaotic map-based mutual authentication scheme with strong anonymity is proposed in this paper, in which the real identity\nof the user is encrypted with a shared key between the user and the trusted server. Only the trusted server can determine the real\nidentity of a user during the authentication, and any other entities including other users of the system get nothing about the user�s\nreal identity. In addition, the shared key of encryption can be easily computed by the user and trusted server using the Chebyshev\nmap without additional burdensome key management. Once the partnered two users are authenticated by the trusted server, they\ncan easily proceed with the agreement of the session key. Formal security analysis demonstrates that the proposed scheme is secure\nunder the random oracle model.
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