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Journal of Networks

A Scalable ID-based Constant-round AGKE Protocol with Logarithmic Computation Complexity

Xiufeng Zhao, Qiuliang Xu, Hao Wang, Peng He

Published Sep 30, 2011• 1 citation
Publisher

Abstract

Group key establishment is one of the basic building blocks in securing group communication. In this paper, motivated by Desmedt's BD-II protocol, we propose a secure ID-Based group key establishment protocol which has a constant number of rounds and requires only  computation and communication. Our scheme achieves key negotiate by scalar multiplication other than using pairing computation which requires expensive computation cost. Moreover, we have adapted aggregate signature technique verifying the validity of transcripts simultaneously, which greatly improves the computational efficiency. We have proved the security of protocol under the intractability of DDH problem in the RO model.

DOI
10.4304/jnw.6.10.1422-1429

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Group key establishment is one of the basic building blocks in securing group communication. In this paper, motivated by Desmedt's BD-II protocol, we propose a secure ID-Based group key establishment protocol which has a constant number of rounds and requires only  computation and communication. Our scheme achieves key negotiate by scalar multiplication other than using pairing computation which requires expensive computation cost. Moreover, we have adapted aggregate signature technique verifying the validity of transcripts simultaneously, which greatly improves the computational efficiency. We have proved the security of protocol under the intractability of DDH problem in the RO model.
Group key management is one of the basic building blocks in securing group communication.A number of solutions to group key exchange have been proposed,but most of them are not scalable and,in particular,require at least 0(log n) communication rounds.We formally present a constant -round Identity-based protocol with forward secrecy for group key exchange,which is provably secure in the security model introduced by Bresson et al.Our protocol focuses on round efficiency and the number of communication round is only one greater than the lower bound presented by Becker and Wille.And,the protocol provides a batch verification technique,which simultaneously verifies the validity of messages from other group participants and greatly improves computational efficiency.Moreover,in our protocol,it is no necessary of always-online key generation center during the execution of the protocol compared to other Identity-based protocols.
Group key agreement protocol allows all the members to agree upon a common session key, which may be used for later secure communication among all the participants. Through incorporating ID-based authenticated two-party key agreement protocol proposed by McCullagh et al. and constant round group key agreement proposed by Burmester and Desmedt, we propose a new ID-based two round authenticated group key agreement protocol which is more efficient than previously proposed protocols in terms of both communication and computation cost.
Several identity-based key agreement protocols using bilinear pairing have been proposed in recent years and none of them has achieved all required security properties. In this paper, we firstly propose an ID-based one round authenticated group key agreement protocol with bilinear pairings, where all participants can generate the group session key in one round. Based on the intractability of elliptic curve discrete logarithm problem, every user’s private key can be proved to be secure. Also an extended version of one round authenticated group key agreement protocol is given, it provide perfect forward secrecy and avoid key escrow by the Key Generation Center.  Finally, a comprehensive security analysis and a comprehensive security analysis are provided. By comparing with other protocols, the proposed protocol requires lower computation cost.
Abstract: Group key management is one of the basic building blocks in securing group communication. A number of solutions to group key exchange have been proposed, but most of them are not scalable and require a number of rounds linear in the number of group members. We formally present a constant-round Identity-based protocol with forward secrecy for group key exchange, which is provably secure in the security model introduced by Bresson et al. Our protocol focuses on round efficiency and the number of communication round is only two. And, the protocol provides a batch verification technique, which simultaneously verifies the validity of messages from other group participants and greatly improves computational efficiency. Moreover, in our protocol, it is no necessary of always-online key generation center during the execution of the protocol compared to other Identity-based protocols. Key-Words:- provable security, identity-based, group key exchange, constant round, secret-share. 1
Recently, several ID-based authenticated group key agreement (AGKA) crytosystems based on bilinear pairings have been proposed. It is an increasingly active research area because of the simplicity of the public key management and the efficiency. However most of the group key agreement protocols have the security and performance weakness. In this paper, we propose an authenticated group key agreement protocol with perfect forward secrecy that requires only one round without verifying signatures. We show that our scheme satisfies all known security requirements, and therefore it is more secure and efficient than other protocols.
We consider the problem of authenticated group key exchange among n parties communicating over an insecure public network. A number of solutions to this problem have been proposed; however, all prior provably-secure solutions do not scale well and, in particular, require O (n) rounds. Our main contribution is the first scalable protocol for this problem along with a rigorous proof of security in the standard model under the DDH assumption; our protocol uses a constant number of rounds and requires only O (1) \full modular exponentiations per user. Toward this goal (and adapting work of Bellare, Canetti, and Krawczyk), we first present an efficient compiler that transforms any ngroup key-exchange protocol secure against a passive eavesdropper to an authenticated protocol which is secure against an active adversary who controls all communication in the network. This compiler adds only one round and O (1) communication (per user) to the original scheme. We then prove secure | against a passive adversary | a variant of the two-round group key-exchange protocol of Burmester and Desmedt. Applying our compiler to this protocol results in a provably-secure three-round protocol for authenticated group key exchange which also achieves forward secrecy.