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International Journal of Communications Network and System Sciences

TUP: A New eCK-Secure AKE Protocol under the CDH Assumption

Qinglei Zhou, Zengfu Yang

Published Jan 1, 2012• 2 citations
Publisher

Abstract

The design and analysis of authenticated key exchange protocol is an important problem in information security area. At present, extended Canetti-Krawczyk (eCK) model provides the strongest definition of security for two party key agreement protocol, however most of the current secure protocols can not be prove to secure without Gap assumption. To avoid this phenomenon, by using twinning key technology we propose a new two party key agreement protocol TUP which is obtained by modifying the UP protocol, then in conjunction with the trapdoor test, we prove strictly that the new protocol is secure in eCK model. Compared with previous protocols, the security assumption of new proposal is more standard and weaker, and it also solves an open problem in ProvSec'09.

DOI
10.4236/ijcns.2012.56043

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The design and analysis of authenticated key exchange protocol is an important problem in information security area. At present, extended Canetti-Krawczyk (eCK) model provides the strongest definition of security for two party key agreement protocol, however most of the current secure protocols can not be prove to secure without Gap assumption. To avoid this phenomenon, by using twinning key technology we propose a new two party key agreement protocol TUP which is obtained by modifying the UP protocol, then in conjunction with the trapdoor test, we prove strictly that the new protocol is secure in eCK model. Compared with previous protocols, the security assumption of new proposal is more standard and weaker, and it also solves an open problem in ProvSec'09.
By far, the extended Canetti-Krawczyk (eCK) model still is one of strongest security model for authenticated key exchange (AKE) protocols. In this paper, a secure authenticated key agreement protocol named SAKA is analyzed in the model, the results show that the SAKA protocol does not support forward security which all key exchange protocol should satisfy. Furthermore, it does not meet security goals of the eCK model. In order to overcome all of above flaws, a variant of SAKA protocol is proposed based on Computation Diffie-Hellman assumption, and secure analysis shows that the new protocol has some good security properties including perfect forward secrecy and known session key excepting those desired security properties that SAKA has. Furthermore, fewer number of modular exponentiation indicates that the new scheme is more efficient.
In this paper, we propose two authenticated key exchange (AKE) protocols and prove their security in the extended Canetti-Krawczyk model. The first protocol, called NAXOS+, is obtained by slightly modifying the NAXOS protocol proposed by LaMacchia, Lauter and Mityagin [15]. We prove its security under the Computational Diffie-Hellman (CDH) assumption by using the trapdoor test introduced in [6]. To the authors' knowledge, this is the first AKE protocol which is secure under the CDH assumption in the eCK model. The second protocol, called NETS, enjoys a simple and tight security reduction compared to existing schemes including HMQV and CMQV without using the Forking Lemma. Since each session of the NETS protocol requires only three exponentiations per party, its efficiency is also comparable to MQV, HMQV and CMQV.
Since Bellare and Rogaway presented the first formal security model for authenticated key exchange (AKE) protocols in 1993, many formal security models have been proposed. The extended Canetti-Krawczyk (eCK) model proposed by LaMacchia et al. is currently regarded as the strongest security model for two-party AKE protocols. In this paper, we first generalize the eCK model for tripartite AKE protocols, called teCK model, and enhance the security of the new model by adding a new reveal query. In the teCK model, the adversary has stronger powers, and can learn more secret information. Then we present a new tripartite AKE protocol based on the NAXOS protocol, called T-NAXOS protocol, and analyze its security in the teCK model under the random oracle assumption.
How to construct secure key agreement protocol is one of the most challenging problems in information security area.However,most of the current secure protocols can only achieve heuristic security,the security assumptions and efficiencies of these protocols are not perfect.To solve these problems,the authors propose a new 2 rounds two-party authenticated key agreement protocol and point out some principles to construct a secure protocol by analyzing the security properties of the protocol,then prove strictly that the new protocol is secure in eCK model.According to pertinent literature,eCK model provides the strongest definition of security for two party key agreement protocol at present.Performance analysis shows that the protocol has a good balance between computational cost and security assumption.The authors also present a three-round variant of the protocol to realize key conformation property.
Two-party key exchange protocol is a mechanism in which two parties communicate with each other over an insecure channel and output the same session key.A key exchange protocol that is secure against an active adversary who can control and modify the exchanged messages is called authenticated key exchange (AKE) protocol.LaMacchia, Lauter and Mityagin presented a strong security definition for public key infrastructure (PKI) based two-pass protocol, which we call the extended Canetti-Krawczyk (eCK) security model, and some researchers have provided eCK-secure AKE protocols in recent years.However, almost all protocols are provably secure in the random oracle model or rely on a special implementation technique so-called the NAXOS trick.In this paper, we present a PKI-based two-pass AKE protocol that is secure in the eCK security model.The security of the proposed protocol is proven without random oracles (under three assumptions), and does not rely on implementation techniques such as the NAXOS trick.
Abstract. In this paper, we present a new authenticated key exchange(AKE) protocol and prove its security under the random oracle assumption and the computational Diffie-Hellman(CDH) assumption. In the extended Canetti-Krawczyk model, there has been no known AKE protocol based on the CDH assumption. Our protocol, called NAXOS+, is obtained by slightly modifying the NAXOS protocol proposed by LaMacchia, Lauter and Mityagin. We establish a formal security proof of NAXOS+ in the extended Canetti-Krawczyk model using as a main tool the trapdoor test presented by Cash, Kiltz and Shoup. Key words: authenticated key exchange, trapdoor test, computational Diffie-Hellman assumption, extended Canetti-Krawzcyk model 1