To improve the security of authentication system and strengthen privacy protection in mobile Internet environment, this paper proposes a provably secure Chebyshev chaotic map (CCM)-based authentication scheme (CCMbAS). The proposed scheme transformed the traditional public key of Chebyshev chaotic map into a private key and combined two private keys to compute a one-time key used to encrypt authentication information. The scheme is verified using security review of BAN logic and ProVerif simulation tool. The verification results confirm that the scheme is well secured against all existing security threats. Compared with similar schemes, the proposed scheme is more efficient and secure. The security analysis shows that the proposed scheme can fulfil secure demands and ensure the security of user’s information in mobile Internet environment.
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