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Analysis and Improvement of a Perfect Concurrent Signature Protocol

Qiuliang Xu

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

A perfect concurrent signature protocol proposed by Huang et al in 2007 is analyzed.Two attacks are given out to show that there are two weaknesses in Huang's protocol: firstly,both participators A and B can change the signed messages after the concurrent signature protocol is completed;secondly,both A and B can forge a concurrent signature themselves.To prevent such forgery attacks,an improved protocol is proposed by adding authentication to the keystone information,and then the security of the improvement is analyzed.

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A perfect concurrent signature protocol proposed by Huang et al in 2007 is analyzed.Two attacks are given out to show that there are two weaknesses in Huang's protocol: firstly,both participators A and B can change the signed messages after the concurrent signature protocol is completed;secondly,both A and B can forge a concurrent signature themselves.To prevent such forgery attacks,an improved protocol is proposed by adding authentication to the keystone information,and then the security of the improvement 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.
At Eurocrypt 2004, the concept of concurrent signatures was introduced by Chen, Kudla and Paterson. Concurrent signatures contribute a novel approach for the traditional problem of fair exchange of signatures. In this paper a general attack named the message substitute attack to the existing concurrent signatures protocol is proposed. Under the message substitute attack there is no concurrent in the existing concurrent signatures protocols including perfect concurrent signatures (PCS) protocol proposed by Susilo et al and its improvement iPCS1 protocol proposed by Guilin Wang et al. To prevent the message substitute attack, an i2PCS1 protocol which is an improvement on iPCS1 protocol is proposed. Further more an i3PCS1 protocol which is another improvement on iPCS1 protocol is proposed, the distinct advantage of i3PCS1 protocol is that its keystones are not published by the initial signer Alice finally but by the matching signer Bob, so that the matching signer Bob has some advantage over the initial signer Alice, while in almost all previous concurrent signatures protocols the initial signer Alice has some advantage. So the i3PCS1 Protocol differs from the previous concurrent signatures protocols.
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.
Recently, much attention has been paid to the study of arbitrated quantum signature (AQS). Among these studies, the cryptanalysis of some AQS protocols and a series of improved ideas have been proposed. Compared with the previous analysis, we present a security criterion, which can judge whether an AQS protocol is able to prevent the receiver (i.e. one participant in the signature protocol) from forging a legal signature. According to our results, it can be seen that most AQS protocols which are based on the Zeng and Keitel (ZK) model are susceptible to a forgery attack. Furthermore, we present an improved idea of the ZK protocol. Finally, some supplement discussions and several interesting topics are provided.
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.