计算机应用

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基于特殊差分方程的安全的多重秘密门限共享方案

张艳硕 刘卓军   

  1. 北京电子科技学院 基础部;中国科学院 数学机械化重点实验室 中国科学院 数学机械化重点实验室
  • 收稿日期:2007-03-05 修回日期:1900-01-01 发布日期:2007-08-01 出版日期:2007-08-01
  • 通讯作者: 张艳硕

Secure threshold multi-secret sharing scheme based on special difference equation

Yanshuo Zhang Zhuojun Liu   

  • Received:2007-03-05 Revised:1900-01-01 Online:2007-08-01 Published:2007-08-01
  • Contact: Yanshuo Zhang

摘要: 介绍了多重秘密门限秘密共享方案,该方案通过一次秘密共享过程就可实现对任意个秘密的共享,而参与者秘密份额的长度仅为一个秘密的长度。同时,考虑了此类门限方案的安全性,基于特殊差分方程给出安全的多重门限秘密共享方案。分析表明,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: 门限秘密共享, 安全, 差分, 多重秘密

Abstract: A multi-secret threshold secret sharing scheme was introduced. Through one process of secret sharing, any secret sharing could be achieved, and participants share a secret and the length is only a secret length. Meanwhile, considering such programs threshold of safety, a secure threshold multi-secret sharing scheme based on special difference equation was given. Analysis shows that the given threshold secret sharing scheme has the information rate of 1/2, and for fraud prevention is unconditionally safe.

Key words: threshold secret sharing, secure, difference, multi-secret