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Lin-Wu(t,n)-门限防欺诈多秘密共享方案的改进(英文)

Improvement on Lin-Wu(t,n)-threshold Verifiable Multi-secret Sharing Scheme

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【作者】 亢保元韩金广王庆菊

【Author】 KANG Bao-yuan~1 HAN Jin-guang~2 WANG Qing-ju~3 (1-School of Mathematics Science and Computing Technology of Central South University,Changsha 410075; 2-College of Sciences,Hohai University,Nanjing 210098; 3- Department of Mathematics,Shaoxing College of Art and Science,Shaoxing,Zhejiang,312000)

【机构】 中南大学铁道校区数学科学与计算技术学院河海大学理学院绍兴文理学院数学系 长沙 410075南京 210098浙江绍兴 312000

【摘要】 最近,Lin和Wu提出了一个防欺诈多秘共享方案。在该方案中,他们声称该方案是基于求解大整数分解和离散对数问题是不可行的。本文对Lin-Wu方案进行了分析,指出他们的方案有两个缺点:一.它不能抵抗来自内部参加者的攻击,二.它的安全性只相当于求解离散对数问题。针对该方案中存在的缺点,我们对其进行了改进。改进后的方案不仅可以抵抗来自内部参加者的攻击,而且使它的安全性真正建立在大整数分解和求解离散对数问题的双重困难数学问题上。

【Abstract】 Recently,Lin and Wu proposed a(t,n)-threshold verifiable multi-secret sharing scheme. They claimed that the security of their scheme is based on the intractability of the factor- ization and the discrete logarithm modulo a composite problems.In this paper,we analysis the security of Lin-Wu’s scheme,and points out that their claim about the security of their scheme is false and their scheme does not counteract cheating by a participant.We improve Lin-Wu’s scheme to make the security really base on the intractability of factorization and discrete logarithm modulo a composite problems,and our improved scheme can withstand cheating by a participant.

【关键词】 密码学秘密共享离散对数
【Key words】 cryptographysecret sharingdiscrete logarithm
【基金】 Foundation item:National Science Foundation of China(10471152)
  • 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2006年05期
  • 【分类号】TP309
  • 【被引频次】2
  • 【下载频次】76
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