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International Journal of Security and Networks

Enhanced McCullagh-Barreto identity-based key exchange protocols with master key forward security

Hua Guo, Yi Mu, Xue-ying ZHANG, Zhangliang Li

Published Jan 1, 2010• 22 citations
Publisher

Abstract

Master key forward security is an important property for identity-based key exchange protocols. Unfortunately, most of existing identity-based key exchange protocols do not satisfy this property. In this paper, we firstly analyse Xie's modified protocol to show that signature is undesirable for an identity-based key agreement protocol with the master key forward secrecy. Then we present two improved protocols from McCullagh-Barreto identity-based key agreement protocol to capture the master key forward security. Our first protocol is efficient and its security can be proved with the help of a decisional oracle, while the second one achieves stronger security and its security can be reduced to a computational problem in the random oracle model. The master key forward secrecy is proved under the computational Diffie-Hellman assumption.

DOI
10.1504/ijsn.2010.032216

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Master key forward security is an important property for identity-based key exchange protocols. Unfortunately, most of existing identity-based key exchange protocols do not satisfy this property. In this paper, we firstly analyse Xie's modified protocol to show that signature is undesirable for an identity-based key agreement protocol with the master key forward secrecy. Then we present two improved protocols from McCullagh-Barreto identity-based key agreement protocol to capture the master key forward security. Our first protocol is efficient and its security can be proved with the help of a decisional oracle, while the second one achieves stronger security and its security can be reduced to a computational problem in the random oracle model. The master key forward secrecy is proved under the computational Diffie-Hellman assumption.
Abstract. There are several essential features in key agreement protocols such as key escrow (essential when confidentiality, audit trail and legal interception are required) and perfect forward secrecy (i.e., the security of a session key established between two or more entities is guaranteed even when the private keys of the entities are compromised). Majority of the existing escrowable identity-based key agreement protocols, however, only provide partial forward secrecy. Therefore, such protocols are unsuitable for real-word applications that require a stronger sense of forward secrecy — perfect forward secrecy. In this paper, we propose an efficient perfect forward secure identity-based key agreement protocol in the escrow mode. We prove the security of our protocol in the random oracle model, assuming the intractability of the Gap Bilinear Diffie-Hellman (GBDH) problem. Security proofs are invaluable tools in assuring protocol implementers about the security properties of protocols. We note, however, that many existing security proofs of previously published identity-based protocols entail lengthy and complicated mathematical proofs. In this paper, our proof adopts a modular approach and, hence, simpler to follow.
In this paper, the tripartite identity-based key agreement is investigated. Inspired by designated verifier signature schemes, a tripartite identity-based key agreement protocol with explicit authentication is proposed with the good authentication of signatures. The new protocol can achieve remarkable security properties, such as perfect forward secrecy and unknown key share. More theoretically, the security proving of the protocol is given in the random oracle model under the Bilinear Diffie-Hellman assumption. The efficiency of the protocol is lying on that three parties can establish an agreed session key after only one round of message exchange. Detailed efficiency analysis compared with other protocols is also made.
Most of the existing Identity-based(ID) authenticated protocols are proven secure in the Canetti-Krawczyk(CK) model which is weaker than the extended Canetti-Krawczyk(eCK) model.Based on NAXOS trick,a new scheme using bilinear pairing was proposed.The security of the scheme was proven in the eCK model under the random oracle assumption and the Gap Bilinear Diffie-Hellman(GBDH) assumption.The proposed protocol was efficient in computational cost and communication round when compared with other solutions.The new protocol also satisfied master key forward security,perfect forward security and anti-key-leak disguise.
McCullagh and Barreto presented an identity-based authenticated key agreement protocol in CT-RSA 2005. Their protocol was found to be vulnerable to a key-compromise impersonation attack. In order to recover the weakness, McCullagh and Barreto and Xie proposed two variants of the protocol respectively. In each of these works, a security proof of the proposed protocol was presented. In this paper, we revisit these three security proofs and show that all the reductions in these proofs are invalid, because the property of indistinguishability between their simulation and the real world was not held. As a replacement, we slightly modify the McCullagh and Barreto's second protocol and then formally analyse the security of the modified scheme in the BellareRogaway key agreement model.
McCullagh and Barreto presented an identity-based authenticated key agreement protocol in CT-RSA 2005. Their protocol was found to be vulnerable to a key-compromise impersonation attack. In order to recover the weakness, McCullagh and Barreto, and Xie proposed two variants of the protocol respectively. In each of these works, a security proof of the proposed protocol was presented. In this paper, we revisit these three security proofs and show that all the reductions in these proofs are invalid, because the property of indistinguishability between their simulation and the real world was not held. As a replacement, we slightly modify the McCullagh and Barreto’s second protocol and then formally analyse the security of the modified scheme in the Bellare-Rogaway key agreement model.