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ACM Asia Conference on Computer and Communications Security (ASIA CCS)

Leakage resilient eCK-secure key exchange protocol without random oracles

Daisuke Moriyama, Tatsuaki Okamoto

Published Mar 22, 2011• 37 citations
Publisher

Abstract

This paper presents the first formalization of partial key leakage security of a two-pass two-party authenticated key exchange (AKE) protocol on the extended Canetti-Krawczyk (eCK) security model. Our formalization, λ-leakage resilient eCK security, is a (stronger) generalization of the eCK security model with enhanced by the notion of λ-leakage resilient security recently introduced by Akavia, Goldwasser and Vaikuntanathan. We present a PKI-based two-pass key exchange protocol with Hash Proof System (HPS), that is λ-leakage resilient eCK secure without random oracles.

DOI
10.1145/1966913.1966976

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This paper presents the first formalization of partial key leakage security of a two-pass two-party authenticated key exchange (AKE) protocol on the extended Canetti-Krawczyk (eCK) security model. Our formalization, λ-leakage resilient eCK security, is a (stronger) generalization of the eCK security model with enhanced by the notion of λ-leakage resilient security recently introduced by Akavia, Goldwasser and Vaikuntanathan. We present a PKI-based two-pass key exchange protocol with Hash Proof System (HPS), that is λ-leakage resilient eCK secure without random oracles.
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.
The extended Canetti–Krawczyk (eCK) security models, are widely used to provide security arguments for authenticated key exchange protocols that capture leakage of various kinds of secret information like the long-term private key and session-specific secret state. In this paper, we study the open problem on constructing eCK secure AKE protocol without random oracles and NAXOS like trick. A generic construction GC-KKN satisfying those requirements is first given relying on standard cryptographic primitives following the guideline of efficiency. On the second a concrete protocol is proposed which is the first eCK secure protocol in the standard model under both standard assumptions and post-specified peer setting. Both proposed schemes can be more efficiently implemented with secure device than previous eCK secure protocols in the standard model, where the secure device might be normally used to store the long-term private key and implement algorithms of protocol which require to be resilience of state leakage.
The extended Canetti-Krawczyk(eCK) model proposed by LaMacchia et al.is currently regarded as the strongest security model for authenticated key exchange(AKE) protocols.In the eCK model,the adversary can make queries on the test session,and reveal both ephemeral private keys,both long-term keys,or one of each from the two different parties.In this paper,we analyze two AKE protocols designed in the eCK model based on the definition of eCK model.We propose ephemeral keys compromised attacks and long-term keys compromised attacks on one of them,and also propose ephemeral keys compromised attacks on the other one.The results of analysis show that both of them are insecure in the eCK model.
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.
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.