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IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

Hierarchical ID-Based Authenticated Key Exchange Resilient to Ephemeral Key Leakage

Atsushi Fujioka, Koutarou Suzuki, Kazuki Yoneyama

Published Jan 1, 2011• 2 citations
Publisher

Abstract

In this paper, the first extended Canetti-Krawzcyk (eCK) security model for hierarchical ID-based authenticated key exchange (AKE) that guarantee resistance to leakage of ephemeral secret keys is proposed. Moreover, an two-pass hierarchical ID-based AKE protocol secure in the proposed hierarchical ID-based eCK security model based on a hierarchical ID-based encryption is also proposed.

DOI
10.1587/transfun.e94.a.1306

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In this paper, the first extended Canetti-Krawzcyk (eCK) security model for hierarchical ID-based authenticated key exchange (AKE) that guarantee resistance to leakage of ephemeral secret keys is proposed. Moreover, an two-pass hierarchical ID-based AKE protocol secure in the proposed hierarchical ID-based eCK security model based on a hierarchical ID-based encryption is also proposed.
This paper firstly provides the extended Canetti-Krawzcyk (eCK) security model for predicate-based authenticated key exchange (AKE) that guarantees resistance to leakage of ephemeral secret keys. Moreover, we propose two-pass key-policy (resp. session-policy) attribute-based AKE protocol secure in the proposed predicate-based eCK security model based on key-policy (resp. ciphertext-policy) attribute-based encryption. The proposed protocols have advantages in security against leakage of ephemeral secret keys and the round complexity compared to the previous predicate-based AKE protocols.
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.
Identity-based authenticated key exchange (ID-AKE) protocol is an important cryptographic primitive, which is used to establish a session key between two communication participants while authenticating each other. Indeed, most of the existing ID-AKE protocols do not concern with side-channel attacks in the sense that adversaries could obtain partial information of ephemeral/permanent secret keys of users. Recently, several leakage-resilient ID-AKE (LR-ID-AKE) protocols have been proposed to address such attacks. However, these LR-ID-AKE protocols have a restriction that the total leakage information during the life time of the LR-ID-AKE protocol must be bounded to some ratio of ephemeral/permanent secret keys. In this paper, the authors define a new adversary model, termed as identity-based continuous-leakage extended Canetti-Krawczyk (ID-CL-eCK) model. Using the key refreshing procedure (i.e., the multiplicative blinding technique) of permanent secret keys, the first LR-ID-AKE protocol resilient to continuous key leakage is proposed, and it possesses overall unbounded leakage property. Comparisons are given to demonstrate that the proposed protocol is better than the previously proposed ID-AKE protocols in terms of security models and leakage properties. Under the generic bilinear group model, security analysis is made to show that the proposed LR-ID-AKE protocol is secure against adversaries in the new ID-CL-eCK model.
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.
In 2007, LaMacchia et al.proposed the extended Canetti-Krawczyk (eCK) model for authenticated key exchange (AKE) protocols. In this paper, we first modify the eCK model by adding a new query to make the adversary can reveal all ephemeral secret information. Then we propose a new efficient and strongly secure AKE protocol in the asymmetric setting, called E-NETS (enhanced NETS) protocol, and prove its security in the modified eCK (meCK) model under the random oracle assumption and the gap Diffie-Hellman assumption.