Secure threshold secret sharing scheme based on special difference equation

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (23): 6-7.

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Secure threshold secret sharing scheme based on special difference equation

ZHANG Yan-shuo^1,2，LIU Zhuo-jun²

1.Beijing Electronic Science and Technology Institute，Beijing 100070，China
2.Key Lab of MMRC，Chinese Academy of Sciences，Beijing 100080，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-08-11 Published:2007-08-11
Contact: ZHANG Yan-shuo

基于特殊差分方程的安全可验证门限秘密共享

张艳硕^1,2，刘卓军²

1.北京电子科技学院，北京 100070
2.中国科学院数学机械化重点实验室，北京 100080

通讯作者: 张艳硕

Abstract

Abstract: Generally，people just research on Shamir（n，t） threshold secret sharing scheme，which is based on polynomial interpolation.We research on threshold secret sharing scheme，what is more，we consider the security of the scheme and show a secure threshold secret sharing scheme based on special difference equation.Obviously，the information rate of the scheme is 1/2，and the scheme is unconditionally secure.

Key words: secret sharing, security, difference equation, threshold

摘要： 在秘密共享方案的研究中，一般都进行Shamir（n，t）门限秘密共享方案的研究，该方案是基于多项式插值的门限方案。研究了基于特殊差分方程的门限秘密共享方案，同时，考虑了此类门限方案的安全性，最后基于特殊差分方程给出了安全可验证的门限秘密共享方案。可以得出，给出的门限秘密共享方案的信息率为1/2，且对于防欺诈是无条件安全的。

关键词: 秘密共享, 安全, 差分方程, 门限

ZHANG Yan-shuo^1,2，LIU Zhuo-jun². Secure threshold secret sharing scheme based on special difference equation[J]. Computer Engineering and Applications, 2007, 43(23): 6-7.

张艳硕^1,2，刘卓军². 基于特殊差分方程的安全可验证门限秘密共享[J]. 计算机工程与应用, 2007, 43(23): 6-7.

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Secure threshold secret sharing scheme based on special difference equation

基于特殊差分方程的安全可验证门限秘密共享

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