Efficient three-party authenticated key agreements based on Chebyshev chaotic map-based Diffie-Hellman assumption

An efficient and secure three-party authenticated key agreement protocol is proposed to enable two users to establish a common secret key for exchanging confidential and authenticated information with the help of a trusted server. The proposed protocol only employs extended chaotic maps and hash operations, i.e., it does not require a server public key, symmetric cryptosystems, time-consuming modular exponential computations, or time-consuming modular exponential computations and scalar multiplications on elliptic curve. A round-efficient version of the proposed protocol is also implemented by rearranging and sending the messages in parallel. The session security of the proposed protocol is based on the Chebyshev chaotic map-based Diffie-Hellman assumption. Compared to related chaotic map-based approaches, the proposed protocol not only requires lower computational cost, but also has fewer transmissions.