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IEEE International Conference on Computer and Communications (ICCC)

eCK-security authenticated key agreement protocol based on CDH assumption

Mengzhi Liu, Yanli Zhao, Shuying Chen

Published Oct 1, 2016• 1 citation
Publisher

Abstract

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.

DOI
10.1109/compcomm.2016.7924695

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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.
Abstract. This paper investigates the two-pass authenticated key exchange protocol in the enhanced Canetti-Krawczyk (eCK) with perfect forward security. Currently, there exist no authenticated key exchange protocols which are provably secure in eCK model and meanwhile achieve perfect forward security against active adversary in one round. We propose a new two-pass authenticated key exchange protocol which enjoys following desirable properties. First, our protocol is shown secure in the eCK model under the gap Diffie-Hellman (GDH) assumption. Moreover, our protocol does not use the NAXOS transformation, the drawback of which will be discussed in the introduction. Second, under the same assumption, we prove that our protocol achieves perfect forward security against active adversary in one round. To the best of our knowledge, our proposal is first two-pass (one round) AKE protocol provably secure in the eCK model and achieving perfect forward security against active adversary.
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.
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.
Recently,LaMacchia et al.proposed the extended Canetti-Krawczyk(eCK) model,which captures all security properties of authenticated key enchange protocols.Most of existing identity-based authenticated key exchange protocols are not secure in the eCK model.This paper proposes an identity-based authenticated key exchange protocol,and the security of proposed protocol can be proved in the eCK model.When compaer with other schemes,the proposed protocol achieves efficiency in terms of computation and communication.The proposal achieve strong security,and can be proved under the random oracle assumption and the Gap Bilinear Diffie-Hellman assumption.
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
A two-party authenticated key exchange (AKE) protocol allows each of the two parties to share a common secret key over insecure channels, even in the presence of active adversaries who can actively control and modify the exchanged messages. To capture the malicious behaviors of the adversaries, there have been many efforts to define security models. Amongst them, the extended Canetti–Krawczyk (eCK) security model is considered one of the strongest security models and has been widely adopted. In this paper, we present a simple construction of a pairing-based eCK-secure AKE protocol in the standard model. Our protocol can be instantiated with a suitable signature scheme (i.e., an existentially unforgeable signature scheme against adaptive chosen message attacks). The underlying assumptions of our construction are the decisional bilinear Diffie–Hellman assumption and the existence of a pseudorandom function. Note that the previous eCK-secure protocol constructions either relied on random oracles for their security or used somewhat strong assumptions, such as the existence of strong-pseudorandom functions, target collision-resistant functions, etc., while our protocol construction uses fewer and more-standard assumptions in the standard model. Furthermore, preserving the same security argument, our protocol can be instantiated with any appropriate signature scheme that comes in the future with better efficiency.