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arXiv:1312.4363

On the Security of Wang's Provably Secure Identity-based Key Agreement Protocol

Maurizio Adriano Strangio

Published Dec 16, 2013• 0 citations
arXivHTMLPDF

Abstract

In a 2005 IACR report, Wang published an efficient identity-based key agreement protocol (IDAK) suitable for resource constrained devices. The author shows that the IDAK key agreement protocol is secure in the Bellare-Rogaway model with random oracles and also provides separate ad-hoc security proofs claiming that the IDAK protocol is not vulnerable to Key Compromise Impersonation attacks and also enjoys Perfect Forward Secrecy (PFS). In this report, we review the security properties of the protocol and point out that it is vulnerable to Unknown Key Share attacks. Although such attacks are often difficult to setup in a real world environment they are nevertheless interesting from a theoretical point of view so we provide a version of the protocol that fixes the problem in a standard way. We also provide a security proof of the IDAK protocol based on the Gap Bilinear Diffie Hellman and random oracle assumptions in the stronger extended Canetti-Krawczyk security model of distributed computing.

DOI
10.48550/arxiv.1312.4363

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In a 2005 IACR report, Wang published an efficient identity-based key agreement protocol (IDAK) suitable for resource constrained devices. The author shows that the IDAK key agreement protocol is secure in the Bellare-Rogaway model with random oracles and also provides separate ad-hoc security proofs claiming that the IDAK protocol is not vulnerable to Key Compromise Impersonation attacks and also enjoys Perfect Forward Secrecy (PFS). In this report, we review the security properties of the protocol and point out that it is vulnerable to Unknown Key Share attacks. Although such attacks are often difficult to setup in a real world environment they are nevertheless interesting from a theoretical point of view so we provide a version of the protocol that fixes the problem in a standard way. We also provide a security proof of the IDAK protocol based on the Gap Bilinear Diffie Hellman and random oracle assumptions in the stronger extended Canetti-Krawczyk security model of distributed computing.
We point out the RYY+ identity-based (ID-based) key agreement protocol is vulnerable to Key-compromise impersonation (KCI) attack and Intermediate results leakage (IRL) attack. Then we give the improved protocol which provides KCI and IRL resistance. The novel protocol is provably secure under the gap Bilinear Diffie-Hellman assumption in the seCK model, which enhances the adversary's queries comparing with previous ID based AKE models. The proposed scheme also has an advantage over most previous schemes on security and efficiency.
Abstract. We study the provable security of identity-based (ID-based) key agreement protocols. Although several published protocols have been proven secure in the random oracle model, only a weak adversarial model is considered – the adversary is not allowed to ask Session-Key Reveal queries that will allow the adversary to learn previously established session keys. Recent research efforts devoted to providing a stronger level of security require strong assumptions, such as assuming that the simulator has access to a non-existential computational or decisional oracle. In this work, we propose an ID-based key agreement protocol and prove its security in the widely accepted indistinguishability-based model of Canetti and Krawczyk. In our proof, the simulator does not require access to any non-existential computational or decisional oracle. We then extend our basic protocol to support ad-hoc anonymous key agreement with bilateral privacy. To the best of our knowledge, this is the first protocol of its kind as previously published protocols are for fixed group and provide only unilateral privacy (i.e., only one of the protocol participants enjoy anonymity).
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.
We revisit the identity-based (ID-based) key agreement protocol due to Wang et al. The protocol is highly efficient and suitable for practical applications except being vulnerable to Intermediate results leakage (IRL) and Key-compromise impersonation (KCI) attack. We propose an improved protocol following the Full Dual Exponential Challenge Response (FDCR-1) scheme to ensure the signature change every time. We also prove it to be secure in the strengthened extended Canetti -- Krawczyk (seCK) model provides better support for adversary's query than previous. In addition, the improved protocol also has an advantage over most existing protocols on security and efficiency.
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.