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Strongly-Secure Identity-based Key Agreement and Anonymous Extension.

Sherman S. M. Chow, Kim‐Kwang Raymond Choo

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

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).

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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).
Identity-based key agreement protocols allow the participants in a group exchange information over an open network with each other. However, in most of proposed IDbased protocol, identities of group users are exposed, so that eavesdroppers can easily learn who belongs to the specific group. In this paper, we proposed a complete anonymous group key agreement protocol based on the Burmester and Desmedt mechanism and ID-based encryption cryptosystems. The proposed protocol is provably-secure in the random oracle model, and achieves the following security attribute: complete anonymity, unlinkability, group key secrecy, perfect forward secrecy for the group session key and entity authentication.
In recent years, a large number of identity-based key agreement protocols from pairings have been proposed. Some of them are elegant and practical. However, the security of this type of protocols has been surprisingly hard to prove. The main issue is that a simulator is not able to deal with reveal queries, because it requires solving either a computational problem or a decisional problem, both of which are generally believed to be hard (i.e., computationally infeasible). The best solution of security proof published so far uses the gap assumption, which means assuming that the existence of a decisional oracle does not change the hardness of the corresponding computational problem. The disadvantage of using this solution to prove the security for this type of protocols is that such decisional oracles, on which the security proof relies, cannot be performed by any polynomial time algorithm in the real world, because of the hardness of the decisional problem. In this paper we present a method incorporating a built-in decisional function in this type of protocols.
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.
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.
The existing identity-based authenticated key agreement(ID-AKA) protocols in standard model either had known security flaws or could be verified security in weak security models.This paper proposed an extended ID-AKA protocol,which fully considered the security needs for leaking the long-term private keys,the session temporary secrets and the PKG master key.It further defined two types of fresh oracle and a session-state query,based on the ID-BJM security model,in which simulated secure games of key-compromise impersonation and perfect forward secrecy respectively.The new protocol was proven to meet the strong security with the improved ID-BJM model.The comparative analysis shows that the new protocol not only has high security,but lower computational costs.And the extended ID-AKA protocol can be used to build secure point to point communication channel on the application scenarios without key escrow.
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.