Paper 2010/557

A Digital Signature Based on Multivariate Polynomials over Fq

Masahiro Yagisawa

Abstract

We propose the digital signature scheme based on multivariate polynomials over finite fields in this paper. We generate the multivariate a polynomial of high degree F(X) . We construct the digital signature scheme using F(X). Our system is immune from the Gröbner bases attacks because obtaining parameters of F(X) to be secret keys arrives at solving the multivariate algebraic equations that is one of NP complete problems .