北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2005, Vol. 28 ›› Issue (4): 83-86.doi: 10.13190/jbupt.200504.83.zhangj

• 研究报告 • 上一篇    下一篇

欺骗免疫秘密共享

张桀1,刘振华2,温巧燕1   

  1. 1北京邮电大学 理学院, 北京 100876; 2中华女子学院 计算机系, 北京 100101
  • 出版日期:2005-08-28 发布日期:2005-08-28

Construction of Cheating Immune Secret Sharing

ZHANG Jie1,LIU Zhenhua2,WEN Qiaoyan1   

  1. 1School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China;  2Department of Computer, China Women's University, Beijing 100101, China
  • Online:2005-08-28 Published:2005-08-28

摘要:

为抵抗通常的攻击,用于密码体制的函数应具有高的代数次数. 基于Stinson的秘密共享模型,研究了无条件安全下的欺骗免疫秘密共享. 利用级联满足一定条件的线性函数,构造了代数次数大于2的〖JP9〗k-〖JP〗欺骗免疫秘密共享的定义函数,所给出的函数是关免疫度为k的平衡函数,而且满足〖JP9〗k-〖JP〗强扩散准则.

关键词: 秘密共享, (强)扩散准则, 相关免疫函数, 弹性函数

Abstract:

Cheating immune secret sharing in the unconditionally secure case was investigated. Secret sharing is a kcheating immune if any k cheaters are not better off than a participant which follows the protocol honestly. kcheating immune secret sharing scheme under the unconditionally secure would be given. The obtained function of the secret sharing scheme is kresilient and satisfies kstrengthened propagation criterion. Furthermore, its degree is high. So it has better cryptographic properties than that of the known results.

Key words: secret sharing, (strengthened) propagation criterion;correlation immune functions, resilient functions

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