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Robust Threshold Guillou-Quisquater Signature Scheme
作者姓名:WANGHong  ZHANGZhen-feng  FENGdeng-guo
作者单位:[1]StateKeyLaboratoryofInformationSecurity(GraduateSchoolofChineseAcademyofSciences),Beijing100039 [2]StateKeyLaboratoryofInformationSecurity(InstituteofSoftwareofChineseAcademyofSciences),Beijing100080,China
基金项目:SupportedbytheNationalKeyBasicResearchProgramofChina(G1999035802)andtheNationalNaturalScienceFoundationofChina(60373039)
摘    要:Tie deficiencies of the first threshold Guillou-Quisquater signature scheme presented by Li San Liu, Cheng-Kang Chu and Wen-Guey Tzeng are analysised at first, and then a new threshold Guillou-Quisquater signature scheme is presented. The new scheme is unforgeable and robust against any adaptive adversary if the base Guillou-Quisquater signature scheme is unforgeable under the chosen message attack and computing the discrete logarithm modulo a prime is hard. This scheme can also achieve optimal resilience. However, the new scheme does not need the assumption that N is the product of two safe primes. The basic signature scheme underlying the new scheme is exactly Guillot-Quisquater signature scheme, and the additional strong computation assumption introduced by the first threshold Guillou-Quisquater scheme is weaken.

关 键 词:域值密码学  数字签名  粗程序  Guillou-Quisquater签名  域签名
收稿时间:31 May 2004

Robust threshold Guillou-Quisquater signature scheme
WANGHong ZHANGZhen-feng FENGdeng-guo.Robust Threshold Guillou-Quisquater Signature Scheme[J].Wuhan University Journal of Natural Sciences,2005,10(1):207-210.
Authors:Wang Hong  Zhang Zhen-feng  Feng Deng-guo
Institution:(1) State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, 100039 Beijing, China;(2) State Key Laboratory of Information Security, Institute of Software of Chinese Academy of Sciences, 00080 Beijing, China
Abstract:The deficiencies of the first threshold Guillou-Quisquater signature scheme presented by Li-San Liu, Cheng-Kang Chu and Wen-Guey Tzeng are analysised at first, and then a new threshold Guillou-Quisquater signature scheme is presented. The new scheme is unforgeable and robust against any adaptive adversary if the base Guillou-Quisquater signature scheme is unforgeable under the chosen message attack and computing the discrete logarithm modulo a prime is hard. This scheme can also achieve optimal resilience. However, the new scheme does not need the assumption that N is the product of two safe primes. The basic signature scheme underlying the new scheme is exactly Guillou-Quisquater signature scheme, and the additional strong computation assumption introduced by the first threshold Guillou-Quisquater scheme is weaken.
Keywords:veriable secret sharing  threshold cryptography  digital signature scheme  robust  secure multiparty computation
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