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欺骗免疫秘密共享
引用本文:张劼,刘振华,温巧燕.欺骗免疫秘密共享[J].北京邮电大学学报,2005,28(4):83-86.
作者姓名:张劼  刘振华  温巧燕
作者单位:北京邮电大学,理学院,北京,100876;中华女子学院,计算机系,北京,100101
基金项目:国家自然科学基金,高等学校博士学科点专项科研项目
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
文章编号:1007-5321(2005)04-0083-04
修稿时间:2004年3月1日

Construction of Cheating Immune Secret Sharing
ZHANG Jie,LIU Zhen-hua,WEN Qiao-yan.Construction of Cheating Immune Secret Sharing[J].Journal of Beijing University of Posts and Telecommunications,2005,28(4):83-86.
Authors:ZHANG Jie  LIU Zhen-hua  WEN Qiao-yan
Affiliation:1School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China;  2Department of Computer, China Women's University, Beijing 100101, China
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.
Keywords:secret sharing  (strengthened) propagation criterion  correlation immune functions  resilient functions
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