几个门限群签名方案的弱点
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本文研究得到国家自然科学基金(No.19931010)和国家重点基础研究发展规划项目(N o.G199035810)资助.


Weaknesses of Some Threshold Group Signature Schemes
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    摘要:

    门限群签名是一类重要的数字签名,但现有的门限群签名方案几乎都有缺点.首先给出良好的 门限群签名所应具备的性质,随后详细分析了3个门限群签名方案的弱点.其中最主要的弱点 是:部分成员可以合谋得到系统的秘密参数,从而伪造群签名,甚至彻底攻破签名系统.

    Abstract:

    Threshold group signature is an important kind of signatures, but all of the exi sting threshold group schemes have weaknesses. Several properties are proposed t o define a good threshold group scheme. Then, the weaknesses of three threshold group schemes are analyzed. The most serious weakness is that part of members ca n conspire to get system secret parameters and then forge a valid signature. In the worst situation, the total system is broken.

    参考文献
    1  Chaum D, Heyst E van. Group signatures. In: Davies D W ed. Adva nces in Cryptology——Eurocrypt'91 Proceedings. Berlin: Springer-Verlag, 1992. 257~265 2  Shamir A. How to share a secret. Communication of ACM, 1979,22(11):612~ 613 3  Desmedt Y. Society and group oriented cryptography. In: Pomerance C ed. Advances in Cryptology——Crypto'87 Proceedings. Berlin: Springer-Verlag, 1988 . 120~127 4  Desmedt Y, Frankel Y. Shared generation of authenticators and signature s. In: Feigenbaum J ed. Advances in Cryptology——Crypto'91 Proceedings. Berlin: Springer-Verlag, 1992. 457~469 5  Harn L, Yang S. Group-Oriented undeniable signature schemes without th e assistance of a mutually trusted party. In: Seberry J, Zheng Y eds. Advances i n Cryptology——Auscrypt'92 Proceedings. Berlin: Springer-Verlag, 1992. 133~142 6  Harn L. Group-Oriented (t,n) threshold digital signature scheme an d multisignature. IEE Proceedings, Computers and Digital Techniques, 1994,141(5) :307~313 7  Li C, Hwang T, Lee N. Threshold-Multisignature schemes where suspected forgery implies traceability of adversarial shareholders. In: Santis A D ed. Ad vances in Cryptology——Eurocrypt'94 Proceedings. Berlin: Springer-Verlag, 1995 . 194~204 8  Lu Lang-ru, Zhao Ren-jie. A(t,n) threshold group signature s cheme. In: Pei Ding-yi, Zhao Ren-jie, Zhou Jin-jun eds. Advances in Cryptolog y——Chinacrypt'96. Beijing: Science Press, 1996. 177~184 (Lu Lang-ru, Zhao Ren-jie. A(t,n) threshold group signature scheme. 见:裴 定一,赵仁杰,周锦君编.密码学进展——Chinacrypt'96.北京:科学出版社.1996. 177~184 ) 9  Li C, Hwang T, Lee N. Remark on the threshold RSA signature schem e. In: Stinson D R ed. Advances in Cryptology——Crypto'93 Proceedings. Berlin: Springer-Verlag, 1993. 413~419 10  Langford S K. Weakness in some threshold cryptosystems. In: Koblitz N ed. Ad vances in Cryptology——Crypto'96 Proceedings. Berlin: Springer-Verlag, 1996. 7 4~82 11  Wang C T, Lin C H, Chang C C. Threshold signature schemes with traceable sig ners in group communications. Computer Communications, 1998,21(8):771~776 12  Tseng Y M, Jan J K. Attacks on threshold signature schemes with traceable si gners. Information Processing Letters, 1999,71(1):1~4 13  Xu Qiu-liang. A modified threshold RSA digital signature scheme. Chine se Journal of Computers, 2000,23(5):449~453 (徐秋亮.改进门限RSA数字签名体制.计算机学报,2000,23(5):449~453)
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王贵林,卿斯汉.几个门限群签名方案的弱点.软件学报,2000,11(10):1326-1332

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  • 收稿日期:2000-05-31
  • 最后修改日期:2000-06-30
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