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Design Secure Authenticated Key Exchange (AKE) protocol without NAXOS approach is remaining as an open problem. NAXOS approach [4] is used to hide the ephemeral secret key from an adversary even if the adversary in somehow may obtain the ephemeral secret key. Using NAXOS approach will cause two main drawbacks: (i) leaking of the static secret key which will be utilized in computing the exponent of the ephemeral public key; (ii) maximization of using random oracle when applying to the exponent of the ephemeral public key and session key derivation. In this paper, we present another AKE-secure without NAXOS approach based on decision linear assumption in the random oracle model. We fasten our security using games sequences tool which gives tight security for our protocol.

Tightly-Secure Authenticated Key Exchange without NAXOS’ Approach Based on Decision Linear Problem