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International Conference on Apperceiving Computing and Intelligence Analysis

A improved scheme for authenticated group key exchange

Jian Shu, Chunxiang Xu

Published Oct 1, 2009• 0 citations
Publisher

Abstract

Authenticated group key exchange (AGKE) enable a set of participants in a public network to share a key which can be further used to achieve confidentiality and authentication. Most of the schemes required a linear number of communications round with respect to the number of group members, such schemes are not practical. Others are inefficient being required some additional condition such as central authority or logic structure. After analyzed the security of bresson's protocol, a improved scheme is proposed, which is simple and efficient. The scheme is proven secure under Decisional Diffie-Hellman assumption.

DOI
10.1109/icacia.2009.5361154

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Authenticated group key exchange (AGKE) enable a set of participants in a public network to share a key which can be further used to achieve confidentiality and authentication. Most of the schemes required a linear number of communications round with respect to the number of group members, such schemes are not practical. Others are inefficient being required some additional condition such as central authority or logic structure. After analyzed the security of bresson's protocol, a improved scheme is proposed, which is simple and efficient. The scheme is proven secure under Decisional Diffie-Hellman assumption.
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
Authenticated key-exchange protocols allow two participants A and B , communicating over a public network and each holding an authentication means to exchange a shared secret value. Methods designed to deal with this cryptographic problem ensure A (resp. B ) that no other participants aside from B (resp. A ) can learn any information about the agreed value and often also ensure A and B that their respective partner has actually computed this value. A natural extension to this cryptographic method is to consider a pool of participants exchanging a shared secret value and to provide a formal treatment for it. Starting from the famous two-party Diffie--Hellman (DH) key-exchange protocol and from its authenticated variants, security experts have extended it to the multiparty setting for over a decade and, in the past few years, completed a formal analysis in the framework of modern cryptography. The present paper synthesizes this body of work on the provably-secure authenticated group DH key exchange.
Group key exchange protocols play main role in group applications such as computer networks, telecommunication and military systems. Given the wide range of usage of group applications, research and design of these protocols can play an important role in securing international exchanges, trade and military issues. Most existing group key exchange protocols establish multi-party or group key exchange protocols based on extending the two party well known Diffie- Hellman key exchanges. The security of these protocols is based on this assumption that difficulty of solving group Dif- fie-Hellman problem can be reduced to the difficulty of two party Diffie-Hellman problems. In spite of this assumption, Group key exchanges are not simply extension of two party protocols. In fact there are many differences and challenges that must be considered in design and implementation of these protocols. This difference is due to essential difference between peer to peer communication and group communication. In group communication in addition to considering the main goal e.g. obtaining group session key, consideration of group member changing is important too. In this paper, a Dynamic ID-based Group Key Agreement protocol based on Weil pairing is proposed. This complete ternary tree struc- ture is used and dynamic changes in group are considered too. Finally we show that the proposed protocol is more effi- cient than other protocols with similar structure and also satisfies all known security requirements .
In 2008, based on the two-party Diffie–Hellman technique, Biswas proposed a contributory group key exchange protocol called the Group-DH protocol. This contributory property is an important one of group key agreement. Unfortunately, in this paper we show that the proposed Group-DH protocol is not a contributory group key exchange protocol. Therefore, we propose an improved group key exchange protocol with verifiably contributory property based on the same Diffie–Hellman technique. When an identical group key is constructed, each participant can confirm that his/her contribution is actually included in the group key. We show that the improved protocol is provably secure against passive attacks under the decisional Diffie–Hellman assumption. As compared to the previously proposed group key exchange protocols, our protocol provides contributiveness and the required computational cost is suitable for low-power participants in a network environment.
The existence of malicious participants is a major threat for authenticated group key exchange (AGKE) protocols. Typically, there are two detecting ways (passive and active) to resist malicious participants in AGKE protocols. In 2012, the revocable identity- (ID-) based public key system (R-IDPKS) was proposed to solve the revocation problem in the ID-based public key system (IDPKS). Afterwards, based on the R-IDPKS, Wu et al. proposed a revocable ID-based AGKE (RID-AGKE) protocol, which adopted a passive detecting way to resist malicious participants. However, it needs three rounds and cannot identify malicious participants. In this paper, we fuse a noninteractive confirmed computation technique to propose the first two-round RID-AGKE protocol with identifying malicious participants, which is an active detecting way. We demonstrate that our protocol is a provably secure AGKE protocol with forward secrecy and can identify malicious participants. When compared with the recently proposed ID/RID-AGKE protocols, our protocol possesses better performance and more robust security properties.
Through the group key agreement, all group members could negotiate a common session key which is used in later secure communication.While simple GKA cannot provide enough security to resist the adversary's attack, and the malicious damage during the agreement makes the authenticated key agreement particularly important.In identity-based authentication, user's unique identity information is used as the public key, which makes it exempt from a series of management of the certification in public-key infrastructure.Thereby, the identity-based key agreement can simplify the key management procedures and reduce the risk of failure at the certification authority.Recently, several identity-based group key agreement protocols have been proposed, however most of them are either vulnerable to impersonation and replay attack or inefficient and unscalable.This paper proposes a novel authenticated group key agreement protocol which is based on bilinear pairings.It needs two rounds to negotiate the session key, and the low computational complexity makes the protocol efficient and scalable.Meanwhile, our protocol also ensures the forward and backward secrecy and the key independence.Under the Decisional Diffie-Hellman assumption, our protocol is proved to be secure against the adversary. 1.