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The Computer Journal

eCK-Secure Authenticated Key Exchange against Auxiliary Input Leakage

Sujuan Li, Futai Zhang

Published Apr 3, 2021• 0 citations
Publisher

Abstract

Abstract Authenticated key exchange protocols are quite important primitives for practical applications, since they enable two parties to generate a shared high entropy secret key. In this paper we mainly focus on the authenticated key exchange (AKE) against auxiliary input leakage. As the major contribution of this work, we present a generic framework for the construction of AKE protocols that are secure against auxiliary input leakage. An instantiation based on the generalized decisional Diffie-Hellman (GDDH) assumption in the standard model is also given to demonstrate the feasibility of our proposed framework. We also give a comparison among the existing leakage resilient AKE protocols with auxiliary inputs.

DOI
10.1093/comjnl/bxab046

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Leakage attacks, including various kinds of side-channel attacks, allow an attacker to learn partial information about the internal secrets such as the secret key and the randomness of a cryptographic system. Designing a strong, meaningful, yet achievable security notion to capture practical leakage attacks is one of the primary goals of leakage-resilient cryptography. In this work, we revisit the modelling and design of authenticated key exchange (AKE) protocols with leakage resilience. We show that the prior works on this topic are inadequate in capturing realistic leakage attacks. To close this research gap, we propose a new security notion named leakage-resilient eCK model w.r.t. auxiliary inputs (AI-LR-eCK) for AKE protocols, which addresses the limitations of the previous models. Our model allows computationally hard-to-invert leakage of both the long-term secret key and the randomness, and also addresses a limitation existing in most of the previous models where the adversary is disallowed to make leakage queries during the challenge session. As another major contribution of this work, we present a generic framework for the construction of AKE protocols that are secure under the proposed AI-LR-eCK model. An instantiation based on the decision Diffie–Hellman (DDH) assumption in the standard model is also given to demonstrate the feasibility of our proposed framework.

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Introduction to Leakage-Resilient Authenticated Key Exchange Protocols and Their Applications

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Secure channels, indispensable to many applications, can be established by using an authenticated key exchange (AKE) protocol where the involving parties authenticate one another and then share authenticated session keys over insecure networks. In this paper, we introduce a new type of AKE protocols that are especially designed to minimize the damages caused by leakages of stored secrets. Such protocols are called Leakage-Resilient AKE (LR-AKE) protocols, whose motivation, design principles, several constructions, security analysis and applications are explained in detail.

Information Security and Cryptology•Dec 1, 2008•3 citations
Abstract Authenticated key exchange protocols are quite important primitives for practical applications, since they enable two parties to generate a shared high entropy secret key. In this paper we mainly focus on the authenticated key exchange (AKE) against auxiliary input leakage. As the major contribution of this work, we present a generic framework for the construction of AKE protocols that are secure against auxiliary input leakage. An instantiation based on the generalized decisional Diffie-Hellman (GDDH) assumption in the standard model is also given to demonstrate the feasibility of our proposed framework. We also give a comparison among the existing leakage resilient AKE protocols with auxiliary inputs.
Leakage attacks, including various kinds of side-channel attacks, allow an attacker to learn partial information about the internal secrets such as the secret key and the randomness of a cryptographic system. Designing a strong, meaningful, yet achievable security notion to capture practical leakage attacks is one of the primary goals of leakage-resilient cryptography. In this work, we revisit the modelling and design of authenticated key exchange (AKE) protocols with leakage resilience. We show that the prior works on this topic are inadequate in capturing realistic leakage attacks. To close this research gap, we propose a new security notion named leakage-resilient eCK model w.r.t. auxiliary inputs (AI-LR-eCK) for AKE protocols, which addresses the limitations of the previous models. Our model allows computationally hard-to-invert leakage of both the long-term secret key and the randomness, and also addresses a limitation existing in most of the previous models where the adversary is disallowed to make leakage queries during the challenge session. As another major contribution of this work, we present a generic framework for the construction of AKE protocols that are secure under the proposed AI-LR-eCK model. An instantiation based on the decision Diffie–Hellman (DDH) assumption in the standard model is also given to demonstrate the feasibility of our proposed framework.
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.
Nowadays many crucial network applications rely on the existence of a confidential channel established by authenticated key exchange (AKE) protocols over public networks.With the rapid development of cyber technology, novel attacks to cryptosystem emerge in an endless stream.This has also led to the development of AKE solutions to provide increasingly stronger security guarantees.In this thesis we focus on provision of practical constructions for AKE protocols which are provably secure in a strong sense without resorting to random oracles.We first we present three new efficient compilers to generically turn passively secure key exchange protocols (KE) into authenticated key exchange protocols (AKE) where security also holds in the presence of active adversaries.Our compilers are not only a useful tool for the design of new AKE systems with many additional security properties in a modular and less error-prone fashion, but they also help to relax the assumptions on existing, practical key exchange mechanisms which are not known to be provably secure AKE protocols.Security of our compilers is shown in a strong modified CK model where the adversary is allowed to reveal either long-term secret key or state information of the protocol participants.On the second, we study the open problem on constructing eCK secure two party AKE protocol without random oracles and NAXOS trick.A generic construction satisfying those requirements is given based on well-known cryptographic primitives following the guideline of efficiency.Then 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 (i.e.without knowing any cryptographic information about its communication peer).Both proposed schemes can be more efficiently implemented with secure device than previous works which are eCK secure in the standard model, where the secure device might be normally used to store the long-term private key and to implement codes of protocol which need to be resilience of state leakage.Finally, we generalize our one-round two party AKE construction to group case that yields an efficient tripartite AKE protocol based on bilinear maps and a candidate group AKE protocol (with more than three members) based on multilinear maps.Up to now they are the first solutions which can be proved secure in the g-eCK model without random oracles.Meanwhile we make first step to show how to simplify the security proof for one-round group AKE under g-eCK model.i
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.
Secure channels, indispensable to many applications, can be established by using an authenticated key exchange (AKE) protocol where the involving parties authenticate one another and then share authenticated session keys over insecure networks. In this paper, we introduce a new type of AKE protocols that are especially designed to minimize the damages caused by leakages of stored secrets. Such protocols are called Leakage-Resilient AKE (LR-AKE) protocols, whose motivation, design principles, several constructions, security analysis and applications are explained in detail.