Weak Armendariz zero knowledge cryptosystem

Abstract EN

Innovative idea using ring theory is raised to build a new algorithm for zero knowledge (ZK) cryptosystem.

In this paper we introduce an algorithm for zero knowledge protocol based on a specific kind of rings named weak Armendariz.

On the other hand, the aim of this paper focuses on the category of noncommutative algebraic structures to describe a new algebraic scheme of zero knowledge proof using weak Armendariz rings.

As a result, we employ for the first time weak Armendariz rings in the science of cryptographic which regards as a new application of this class of rings.

Finally, we present a novel idea combining between abstract algebra and cryptography.