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International Conference on Computational Intelligence and Security (CIS)

Convertible Perfect Concurrent Signature Protocol

Han Jiang, Qiuliang Xu, Chenghui Zhang

Published Dec 1, 2010• 1 citation
Publisher

Abstract

At first, an convertible ID-based two-party ring signature scheme is designed, in such a scheme, after releasing of a converting information by the real signer, a ring signature can be transformed into a standard signature which can be verified publicly. And then, based on this ring signature, a convertible perfect concurrent signature protocol is proposed. Different from a general concurrent signature, there is an extra procedure called “ACONVERT” in this protocol, which can transform the exchanged ring signature into a common form, so it realizes the fair exchange of signature. At last, the security of the protocol is analyzed.

DOI
10.1109/cis.2010.82

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At first, an convertible ID-based two-party ring signature scheme is designed, in such a scheme, after releasing of a converting information by the real signer, a ring signature can be transformed into a standard signature which can be verified publicly. And then, based on this ring signature, a convertible perfect concurrent signature protocol is proposed. Different from a general concurrent signature, there is an extra procedure called “ACONVERT” in this protocol, which can transform the exchanged ring signature into a common form, so it realizes the fair exchange of signature. At last, the security of the protocol is analyzed.
Concurrent signature provided a novel idea for fair exchange protocol without trusted third party. Perfect Concurrent Signature is proposed to strengthen the ambiguity of the concurrent signature. Wang et al, pointed out there exist an attack against the fairness of Perfect Concurrent Signature and proposed the improved perfect concurrent signature. This paper find that in proposed (perfect) concurrent signature protocol, no matter two party or multi-party, the signer could bind multiple messages with one keystone set but let the other signers know only one of the messages. Based on this observation, this paper proposes that accountability should be one of the security properties of (perfect) concurrent signature and we give the definition of accountability of concurrent signature. To illustrate this idea, this paper give an attack scene against the accountability of improved perfect concurrent signature proposed by Wang et al. Finally, this paper proposes an update version of perfect concurrent signature to avoid such attack.
The concept of concurrent signatures was introduced by Chen et al. in Eurocrypt 2004 which allows two entities to produce two signatures in such a way that, the signer of each signature is ambiguous from any third party¿s point of view until the release of a secret, known as the keystone. Once the keystone is released, both signatures become binding to their respective signers concurrently. In the previous concurrent signature schemes, the roles of participants are asymmetrical, one party, which is called initial signer, needs to create the keystone fix and send the first ambiguous signature, the other party, which is called matching signer, responds to this initial signer by creating another ambiguous signature with the same keystone fix. This work mode may cause some unfairness. In this paper, we construct a perfect concurrent signature protocol for symmetric participants and prove its security. In our concept, the roles of participants are symmetrical. The keystone can not be decided by any participant and the two ambiguous signatures can be published in any order.
The concept of concurrent signatures was introduced by Chen, Kudla and Paterson in their seminal paper in Eurocrypt 2004 which allows two entities to produce two signatures in such a way that, the signer of each signature is ambiguous from any third party's point of view until the release of a secret, known as the keystone. Once the keystone is released, both signatures become binding to their respective signers concurrently. Later, a stronger notion called perfect concurrent signatures with two concrete schemes was proposed by Susilo, Mu and Zhang. In perfect concurrent signatures, although both signers are known to be trustworthy, the two signatures are still ambiguous to any third party. Unfortunately, Susilo et al.'s schemes are unfair. In this paper, we first show that in their schemes the initial signer can cheat the matching signer by carefully choosing some communication value and then propose fair perfect concurrent signature protocol to fix our attacks.
Based on perfect concurrent signature, a novel fair exchange protocol was presented. In this protocol anyone can’t identify who has signed which signature when two parties have exchanged their two ambiguous signatures and rela- tive data items. Not until the initial signer publishes a secret information, are the two signatures bound to respective signer concurrently. After that, the other party sends the key of decrypting goods, and thus the two parties can fairly get each other’s data items without the trusted third party (TTP), which avoids the possibility of two parties’ collusion and the bottleneck of the TTP involvement. Through analysis, this protocol well ensures some significant properties of fair ex- change, such as fairness, non-repudiation and abuse-free etc. What’s more, it only needs four messages between two par- ties and it is very simple and highly efficient.
Concurrent signatures scheme is an effective way to solve the problem of fair exchange without the help of any trusted third party. Until now, all concurrent signatures are based on traditional cryptosystems, but the emergence of quantum computing poses a severe threat to the security of classic public–key cryptosystems. More and more attentions are being paid to lattice–based cryptosystems, which is one of the candidate cryptosystems against the attacks from quantum computing. In this paper, we present a new formal model of multi–party concurrent signatures scheme and a lattice–based multi–party concurrent signatures scheme. The scheme has comparative advantages in both efficiency and security over the existing concurrent signatures schemes based on traditional cryptosystem. In particular, our scheme is constructed based on constant–size ring signatures, and thus we have solved the open problem: how to construct a multi–party concurrent signatures scheme based on constant–size ring signatures, which was proposed by Tonien et al. (2006).