On the Security of the Lee-Hwang Group-Oriented Undeniable Signature Schemes

Undeniable signature is an intriguing concept introduced by Chaum and van Antwerpen at Crypto89. In 1999, Lee and Hwang presented two group-oriented undeniable signature schemes with a trusted center. Their schemes are natural generalizations of Chaums zero knowledge undeniable signature scheme prop...

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Bibliographic Details
Main Authors: WANG, Guilin, ZHOU, Jianying, DENG, Robert H.
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2004
Subjects:
Online Access:https://ink.library.smu.edu.sg/sis_research/558
https://ink.library.smu.edu.sg/context/sis_research/article/1557/viewcontent/On_the_Security_of_the_Lee_Hwang_Group_Oriented_Un.pdf
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Institution: Singapore Management University
Language: English
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Summary:Undeniable signature is an intriguing concept introduced by Chaum and van Antwerpen at Crypto89. In 1999, Lee and Hwang presented two group-oriented undeniable signature schemes with a trusted center. Their schemes are natural generalizations of Chaums zero knowledge undeniable signature scheme proposed in 1990. However, we find that the Lee-Hwang schemes are insecure. In this paper, we demonstrate five effective attacks on their schemes: four of them are insider universal forgeries, in which one dishonest member (maybe colluding with a verifier) can get a valid signature on any chosen massage, and another attack allows a dishonest member to prevent honest members from generating valid signatures. We also suggest heuristic improvements to overcome some of the problems involved in these attacks.