高阶非线性差分变换的零知识证明身份认证协议

论文在离散对数基础上,提出了一种基于高阶非线性变系数差分变换的新的零知识证明算法。使用高阶差分状态序列,增强了系统因果强度,加强了抵抗身份欺骗和差分分析攻击的能力。把差分方法和输入输出表引入到零知识证明算法,开拓了零知识证明身份认证协议这一密码学前沿领域的研究思路。

Protocol Using High-order Nonlinear Differential Transform

In this paper, we describe a new zero-knowledge proof procotol based on the discrete logarithm and higherorder non-linear variable coefficient differential transformation. By using the high order differential state sequence, the casuality of the system and the capability of resistance to identity deception and differential attacks is enhanced. By introduction of differential transformation method and input-output table into zero-knowledge proof protocol, a new research field for cryptography of zero-knowledge proof identity authentication is thus opened up.