Protocol Using High-order Nonlinear Differential Transform

Abstract

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.