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KSII Transactions on Internet and Information Systems

Group Key Agreement From Signcryption

Xixiang Lv

Published Jan 1, 2012• 2 citations
Publisher

Abstract

There is an intuitive connection between signcryption and key agreement.Such a connector may lead to a novel way to construct authenticated and efficient group key agreement protocols.In this paper, we present a primary approach for constructing an authenticated group key agreement protocol from signcryption.This approach introduces desired properties to group key agreement.What this means is that the signcryption gives assurance to a sender that the key is available only to the recipient, and assurance to the recipient that the key indeed comes from the sender.Following the generic construction, we instantiate a distributed two-round group key agreement protocol based on signcryption scheme given by Dent [8].We also show that this concrete protocol is secure in the outsider unforgeability notion and the outsider confidentiality notion assuming hardness of the Gap Diffie-Hellman problem.

DOI
10.3837/tiis.2012.12.017

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There is an intuitive connection between signcryption and key agreement.Such a connector may lead to a novel way to construct authenticated and efficient group key agreement protocols.In this paper, we present a primary approach for constructing an authenticated group key agreement protocol from signcryption.This approach introduces desired properties to group key agreement.What this means is that the signcryption gives assurance to a sender that the key is available only to the recipient, and assurance to the recipient that the key indeed comes from the sender.Following the generic construction, we instantiate a distributed two-round group key agreement protocol based on signcryption scheme given by Dent [8].We also show that this concrete protocol is secure in the outsider unforgeability notion and the outsider confidentiality notion assuming hardness of the Gap Diffie-Hellman problem.
Asymmetric group key agreement protocol is to negotiate a shared group encryption key. Each member can calculate a decryption key corresponding to the encryption key. With the rapid development of network and system technology, secure information exchange has been one of the foci. In this paper, we propose an authenticated hierarchical asymmetric group key agreement protocol based on identity. Based on the realisation of a round of asymmetric group key agreement, the protocol carries out a second round of agreement. Different levels of secrets exchange information between a group of players with different permissions as the number of rounds increases, which can achieve anonymity and authentication and support dynamic group key updating of nodes to achieve forward and backward security of group key. The protocol proved to be secure under the assumption of bilinear computational Diffie-Hellman problem. The performance analysis shows that the proposed scheme is efficient.
Asymmetric group key agreement protocol is to negotiate a shared group encryption key. Each member can calculate a decryption key corresponding to the encryption key. With the rapid development of network and system technology, secure information exchange has been one of the foci. In this paper, we propose an authenticated hierarchical asymmetric group key agreement protocol based on identity. Based on the realisation of a round of asymmetric group key agreement, the protocol carries out a second round of agreement. Different levels of secrets exchange information between a group of players with different permissions as the number of rounds increases, which can achieve anonymity and authentication and support dynamic group key updating of nodes to achieve forward and backward security of group key. The protocol proved to be secure under the assumption of bilinear computational Diffie-Hellman problem. The performance analysis shows that the proposed scheme is efficient.
A recent primitive known as asymmetric group key agreement allows a group of users to negotiate a common encryption key which is accessible to any entities while each user holds her respective secret decryption key. This concept not only enables confidential communications among group users but also permits any outsider to send encrypted messages to the group. The existing instantiation is only secure against passive adversaries. In this paper, we first propose an authenticated asymmetric group key agreement protocol which captures the practical security properties against active attacks. Based on our protocol, we then propose a broadcast encryption system without relying on a trusted dealer to distribute the secret keys to the users. Our system has also short ciphertexts. Furthermore, the proposal is equipped with the perfect forward security property.
Modern collaborative and group-oriented applications typically involve communications over open networks. Given the openness of today's networks, communications among group members must be secure and, at the same time, efficient. Group key agreement (GKA) is widely employed for secure group communications in modern collaborative and group-oriented applications. This paper studies the problem of GKA in identity-based cryptosystems with an emphasis on round-efficient, sender-unrestricted, member-dynamic, and provably secure key escrow freeness. The problem is resolved by proposing a one-round dynamic asymmetric GKA protocol which allows a group of members to dynamically establish a public group encryption key, while each member has a different secret decryption key in an identity-based cryptosystem. Knowing the group encryption key, any entity can encrypt to the group members so that only the members can decrypt. We construct this protocol with a strongly unforgeable stateful identity-based batch multisignature scheme. The proposed protocol is shown to be secure under the k -bilinear Diffie-Hellman exponent assumption.
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.
A recent primitive known as asymmetric group key agreement (AGKA) allows a group of users to negotiate a common encryption key which is accessible to any entities and corresponds to different decryption keys, each of which is only computable by one group member. This concept makes it easy to construct distributed and one-round group key agreement protocols. However, this existing instantiation depends on public key infrastructure (PKI) associated with certificate management, or it is only secure against passive adversaries. This paper addresses this concern by designing a certificateless authenticated AGKA scheme, which does not require certificates to guarantee the authenticity of public keys yet avoids the inherent escrow problem of identity-based cryptosystems. Using simple binding techniques, the proposed scheme can be raised to the same trust level as that using the traditional PKI. We show that the proposed protocol is secure provided that the underlying k-bilinear Diffie–Hellman exponent problem is hard.