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Journal of Convergence Information Technology

An Improvement on A Three-Party Authentication Key Exchange Protocol Using Elliptic Curve Cryptography

Zuowen Tan

Published Jun 30, 2010• 13 citations
Publisher

Abstract

The authentication key exchange protocol enables communication participants to authenticate each other and agree on the session key over an insecure public network. Recently, a three-party authentication key exchange protocol based on Elliptic curve cryptograph is proposed. In this paper, we improve the three-party encrypted key exchange protocol by bilinear maps. The proposed threeparty authentication key exchange protocol is provable secure under Computational Diffie-Hellman assumptions in the standard model. Furthermore, the novel protocol is more efficient.

DOI
10.4156/jcit.vol5.issue4.13

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The authentication key exchange protocol enables communication participants to authenticate each other and agree on the session key over an insecure public network. Recently, a three-party authentication key exchange protocol based on Elliptic curve cryptograph is proposed. In this paper, we improve the three-party encrypted key exchange protocol by bilinear maps. The proposed threeparty authentication key exchange protocol is provable secure under Computational Diffie-Hellman assumptions in the standard model. Furthermore, the novel protocol is more efficient.
Combined public key (CPK) cryptography does not need certificates to guarantee the authenticity of public keys and avoids the inherent key escrow problem of identity-based cryptography. Based on the efficient CPK scheme, we present an efficient three-round two-party authenticated key exchange protocol with strong security, which is provably secure in the standard model under the decisional Diffie-Hellman (DDH) assumption. The protocol can keep the session key secret from the adversary except that one party’s ephemeral private key and static private key are all revealed to the adversary. Compared to the existing protocols, this protocol not only assures strong security but also is more efficient.
Authenticated key exchange protocols have an important role for building secure communications amongst two or more entities over the networks. Two party authenticated key exchange protocols where each pair of parties must share a secret with each other; a three-party protocol does not cause any key management problem for the parties. In this paper, an extension of two-party key exchange protocol, which is based on Diffie-Hellman key exchange. is proposed. In this protocol each user exchanges secret key with server then each user uses this secret key to exchange session key with each other. The efficiency and the security analysis of this new key exchange protocol are proven in this paper.
Authenticated key-exchange protocols allow two participants A and B , communicating over a public network and each holding an authentication means to exchange a shared secret value. Methods designed to deal with this cryptographic problem ensure A (resp. B ) that no other participants aside from B (resp. A ) can learn any information about the agreed value and often also ensure A and B that their respective partner has actually computed this value. A natural extension to this cryptographic method is to consider a pool of participants exchanging a shared secret value and to provide a formal treatment for it. Starting from the famous two-party Diffie--Hellman (DH) key-exchange protocol and from its authenticated variants, security experts have extended it to the multiparty setting for over a decade and, in the past few years, completed a formal analysis in the framework of modern cryptography. The present paper synthesizes this body of work on the provably-secure authenticated group DH key exchange.
In this paper, we present a new ID-based two-party authenticated key exchange (AKE) protocol, which makes use of a new technique called twin Diffie-Hellman problem proposed by Cash, Kiltz and Shoup. We show that our scheme is secure under bilinear Diffie-Hellman (BDH) assumption in the enhanced Canetti-Krawczyk (eCK) model, which better supports the adversary's queries than previous AKE models. To the best of our knowledge, our scheme is the first ID-based AKE protocol provably secure in eCK model.
Three-party authenticated key exchange protocol (3PAKE) is an important cryptographic technique for secure communication which allows two parties to agree a new secure session key with the help of a trusted server. In this paper, we proposed a new three-party authenticated key exchange protocol which aims to achieve more efficiency with the same security level of other existing 3PAKE protocols. Security analysis and formal verification using AVISPA tools show that the proposed protocol is secure against various known attacks. Comparing with other typical 3PAKE protocols, the proposed protocol is more efficient with less computation complexity.