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Journal of Communications and Networks

Group key exchange over combined wired and wireless networks

Junghyun Nam, Dongho Won

Published Dec 1, 2006• 0 citations
Publisher

Abstract

A group key exchange protocol is a cryptographic primitive that describes how a group of parties communicating over a public network can come up with a common secret key. Due to its significance both in network security and cryptography, the design of secure and efficient group key exchange protocols has attracted many researchers' attention over the years. However, despite all the efforts undertaken, there seems to have been no previous systematic look at the growing problem of key exchange over combined wired and wireless networks which consist of both stationary computers with sufficient computational capabilities and mobile devices with relatively restricted computing resources. In this paper, we present the first group key exchange protocol that is specifically designed to be well suited for this rapidly expanding network environment. Our construction meets simplicity, efficiency, and strong notions of security.

DOI
10.1109/jcn.2006.6182794

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A group key exchange protocol is a cryptographic primitive that describes how a group of parties communicating over a public network can come up with a common secret key. Due to its significance both in network security and cryptography, the design of secure and efficient group key exchange protocols has attracted many researchers' attention over the years. However, despite all the efforts undertaken, there seems to have been no previous systematic look at the growing problem of key exchange over combined wired and wireless networks which consist of both stationary computers with sufficient computational capabilities and mobile devices with relatively restricted computing resources. In this paper, we present the first group key exchange protocol that is specifically designed to be well suited for this rapidly expanding network environment. Our construction meets simplicity, efficiency, and strong notions of security.
A group key agreement protocol is designed to efficiently implement secure multicast channels for a group of parties communicating over an untrusted, open network by allowing them to agree on a common secret key. In the past decade many problems related to group key agreement have been tackled and solved (diminished if not solved), and recently some constant-round protocols have been proven secure in concrete, realistic setting. However, all forward-secure protocols so far are still too expensive for small mobile devices. In this paper we propose a new constant-round protocol well suited for a mobile environment and prove its security under the Decisional Diffie-Hellman assumption. The protocol meets simplicity, efficiency, and all the desired security properties.
Group key agreement protocols are designed to solve the fundamental problem of securely establishing a session key among a group of parties communicating over a public channel. Although a number of protocols have been proposed to solve this problem over the years, they are not well suited for a high-delay wide area network; their communication overhead is significant in terms of the number of communication rounds or the number of exchanged messages, both of which are recognized as the dominant factors that slow down group key agreement over a networking environment with high communication latency. In this paper we present a communication-efficient group key agreement protocol and prove its security in the random oracle model under the factoring assumption. The proposed protocol provides perfect forward secrecy and requires only a constant number of communication rounds for any of group rekeying operations, while achieving optimal message complexity.
Group key agreement protocols are designed to solve the fundamental problem of securely establishing a session key among a group of parties communicating over a public channel. Although a number of protocols have been proposed to solve this problem over the years, they are not well suited for a high-delay wide area network; their communication overhead is significant in terms of the number of communication rounds or the number of exchanged messages, both of which are recognized as the dominant factors that slow down group key agreement over a networking environment with high communication latency. In this paper we present a communication-efficient group key agreement protocol and prove its security in the random oracle model under the factoring assumption. The proposed protocol provides perfect forward secrecy and requires only a constant number of communication rounds for my of group rekeying operations, while achieving optimal message complexity.
A group key agreement protocol is designed to e#ciently implement secure multicast channels for a group of parties communicating over an untrusted, open network by allowing them to agree on a common secret key. In the past decade many problems related to group key agreement have been tackled and solved (diminished if not solved), and recently some constant-round protocols have been proven secure in concrete, realistic setting. However, all forward-secure protocols so far are still too expensive for small mobile devices. In this paper we propose a new constant-round protocol well suited for a mobile environment and prove its security under the Decisional Di#e-Hellman assumption. The protocol meets simplicity, e#ciency, and all the desired security properties.
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.
Protocols for group key exchange are cryptographic algorithms that allow a group of parties communicating over a public network to come up with a common secret key. One of the interesting results of research on group key exchange is the protocol compiler presented by Abdalla et al. in TCC ’07. Abdalla et al.’s compiler shows how one can transform any authenticated 2-party key exchange protocol into an authenticated group key exchange protocol with 2 more rounds of communication. This compiler certainly is elegant in its genericness, sym-metricity, simplicity and efficiency. However, the situation completely changes when it comes to security. In this work, we reveal a major security weakness in Abdalla et al.’s compiler and show how to address it. The security weakness uncovered here implies that Abdalla et al.’s proof of security for their compiler is invalid.