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KSII Transactions on Internet and Information Systems

One-round Secure Key Exchange Protocol With Strong Forward Secrecy

Xiaowei Li, Dengqi Yang, Benhui Chen, Yuqing Zhang

Published Nov 30, 2016• 2 citations
Publisher

Abstract

Security models for key exchange protocols have been researched for years, however, lots of them only focus on what secret can be compromised but they do not differentiate the timing of secrets compromise, such as the extended Canetti-Krawczyk (eCK) model. In this paper, we propose a new security model for key exchange protocols which can not only consider what keys can be compromised as well as when they are compromised. The proposed security model is important to the security proof of the key exchange protocols with forward secrecy (either weak forward secrecy (wFS) or strong forward secrecy (sFS)). In addition, a new kind of key compromise impersonation (KCI) attacks which is called strong key compromise impersonation (sKCI) attack is proposed. Finally, we provide a new one-round key exchange protocol called mOT+ based on mOT protocol. The security of the mOT+ is given in the new model. It can provide the properties of sKCI-resilience and sFS and it is secure even if the ephemeral key reveal query is considered.

DOI
10.3837/tiis.2016.11.024

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Security models for key exchange protocols have been researched for years, however, lots of them only focus on what secret can be compromised but they do not differentiate the timing of secrets compromise, such as the extended Canetti-Krawczyk (eCK) model. In this paper, we propose a new security model for key exchange protocols which can not only consider what keys can be compromised as well as when they are compromised. The proposed security model is important to the security proof of the key exchange protocols with forward secrecy (either weak forward secrecy (wFS) or strong forward secrecy (sFS)). In addition, a new kind of key compromise impersonation (KCI) attacks which is called strong key compromise impersonation (sKCI) attack is proposed. Finally, we provide a new one-round key exchange protocol called mOT+ based on mOT protocol. The security of the mOT+ is given in the new model. It can provide the properties of sKCI-resilience and sFS and it is secure even if the ephemeral key reveal query is considered.
Abstract This paper investigates the security model for authenticated key exchange protocols. We further enhance the enhanced Canetti‐Krawczyk (eCK) model by introducing a notion called strong key compromise impersonation (SKCI) resilience which is first identified in this paper. SKCI resilience guarantees that the adversary cannot masquerade as another party B to communicate with party A even if the static private key and the ephemeral private key of party A are compromised. We point out that the three‐pass authenticated key exchange protocol generically transformed from the two‐pass one secure in the eCK model cannot resist the SKCI attack. Finally, we introduce a new authenticated key exchange protocol SIG‐DH+ and prove that it satisfies our new definition. Copyright © 2010 John Wiley & Sons, Ltd.
Abstract. In 2001, Canetti and Krawczyk proposed a security model (CKmodel) for authentication protocols. They also gave an indistinguishabilitybased definition for key exchange protocols. Since then the model has almost exclusively been used for analyzing key exchange protocols, although it can be applied to authentication protocols in general. The model not only captures a large class of attacks but also provides a modular approach to the design of authentication protocols. However, the model does not capture the property of Key Compromise Impersonation (KCI) Resilience. Until now, analysis concerning this property has mostly been done heuristically and restricted to key exchange protocols only. Previous attempts on formalizing KCI have mostly been done in some ad hoc manner and additional proofs have to be given specifically for the security of KCI resilience. In this paper, we propose an extension to the CK-model, which allows, for the first time, the KCI attacks to be considered in authentication protocols in general, rather than restricted to key exchange protocols, and no more additional proofs are required specifically for KCI security. With the revival of interest in identity-based (ID-based) cryptography, there have been many new ID-based key exchange protocols proposed. Despite the fact that some of them have been proven in some restricted versions of a model proposed by Bellare and Rogaway in 1993 and some others have been proven in the original CK-model, there is no rigorous model specifically for ID-based key exchange security. In particular, forward secrecy against compromised Key Generation Server (KGS-FS) has never been captured even though this notion is more important and stronger than the perfect forward secrecy in ID-based key exchange. For this, we further extend our model to ID-based setting and capture the property of KGS-FS for ID-based key exchange security. 1
Abstract. We show that it is possible to achieve perfect forward secrecy in two-message or one-round key exchange (KE) protocols even in the presence of very strong active adversaries that can reveal random values of sessions and compromise long-term secret keys of parties. We provide two new game-based security models for KE protocols with increasing security guarantees, namely, eCKw and eCK-PFS. The eCKw model is a slightly stronger variant of the extended Canetti-Krawczyk (eCK) security model. The eCK-PFS model captures perfect forward secrecy in the presence of eCKw adversaries. We propose a security-strengthening transformation (i. e., a compiler) from eCKw to eCK-PFS that can be applied to protocols that only achieve security in a weaker model than eCKw, which we call eCKpassive. We show that, given a two-message Diffie-Hellman type protocol secure in eCKpassive, our transformation yields a two-message protocol that is secure in eCK-PFS. We demonstrate how our transformation can be applied to concrete KE protocols. In particular, our methodology allows us to prove the security of the first known one-round protocol that achieves perfect forward secrecy under actor compromise and ephemeral-key reveal. 1
Forward secrecy (FS) is a central security requirement of authenticated key exchange (AKE). Especially, strong FS (sFS) is desirable because it can guarantee security against a very realistic attack scenario that an adversary is allowed to be active in the target session. However, most of AKE schemes cannot achieve sFS, and currently known schemes with sFS are only proved in the random oracle model. In this paper, we propose a generic construction of AKE protocol with sFS in the standard model against a constrained adversary. The constraint is that session-specific intermediate computation results (i.e., session state) cannot be revealed to the adversary for achieving sFS, that is shown to be inevitable by Boyd and González Nieto. However, our scheme maintains weak FS (wFS) if session state is available to the adversary. Thus, our scheme satisfies one of strongest security definitions, the CK+ model, which includes wFS and session state reveal. The main idea to achieve sFS is to use signcryption KEM while the previous CK+ secure construction uses ordinary KEM. We show a possible instantiation of our construction from Diffie-Hellman problems.
Two-party key exchange (2PKE) protocols have been rigorously analyzed under various models considering different adversarial actions. However, the analysis of group key exchange (GKE) protocols has not been as extensive as that of 2PKE protocols. Particularly, an important security attribute called key compromise impersonation (KCI) resilience has been completely ignored for the case of GKE protocols. Informally, a protocol is said to provide KCI resilience if the compromise of the long-term secret key of a protocol participant A does not allow the adversary to impersonate an honest participant B to A. In this paper, we argue that KCI resilience for GKE protocols is at least as important as it is for 2PKE protocols. Our first contribution is revised definitions of security for GKE protocols considering KCI attacks by both outsider and insider adversaries. We also give a new proof of security for an existing two-round GKE protocol under the revised security definitions assuming random oracles. We then show how to achieve insider KCIR in a generic way using a known compiler in the literature. As one may expect, this additional security assurance comes at the cost of an extra round of communication. Finally, we show that a few existing protocols are not secure against outsider KCI attacks. The attacks on these protocols illustrate the necessity of considering KCI resilience for GKE protocols.
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.