摘要： 针对GT门限密码共享方案需要安全信道、参与者不能直接验证彼此信息的缺陷，基于RSA和离散对数密码体制、单向双变量函数和圆性质，提出一种抗欺诈的动态(t, n)门限秘密共享方案，用于检测并识别秘密分发者对参与者的欺骗以及参与者之间的欺骗，并能减少重构步骤，提高重构秘密的成功率。在整个动态过程中，圆心和秘密份额始终不变，从而减小该方案的实施代价，使其具有更高的安全性和实用性。

关键词: 动态秘密共享, RSA密码体制, 离散对数, 抗欺诈

Abstract: Aiming at the shortages that GT threshold secret sharing scheme needs security channel, and participants can not directly verify each other information, this paper proposes an anti-cheat and dynamic (t, n) threshold secret sharing scheme based on RSA and discrete logarithm cryptosystem, a two-variable one-way function and circle property. It is able to verify whether all participants are honest and every participant is also able to check whether others’ secret shares are valid. It can reduce the steep of reconstruction, and enhances the possibility of secret reconstructions’ success. In the whole dynamic process, the center of circle and secret shares always stay the same, which reduces the cost of realizing the schemes, makes the scheme have highly security and practicality.

Key words: dynamic secret sharing, RSA cryptosystem, discrete logarithm, anti-cheat

中图分类号: 

• TP393