Public Key Protocols over the Ring E_p(m)

TL;DR

This paper introduces new public key cryptosystems using the noncommutative ring E_p(m), leveraging the Semigroup Action Problem and Decomposition Problem to enhance cryptographic security.

Contribution

It presents the first application of the nonrepresentable ring E_p(m) for constructing public key cryptosystems in noncommutative settings.

Findings

Cryptosystems based on E_p(m) demonstrate potential security advantages.

The approach extends cryptographic methods to noncommutative algebraic structures.

New protocols are proposed using the Semigroup Action and Decomposition Problems.

Abstract

In this paper we use the nonrepresentable ring E_p(m)to introduce public key cryptosystems in noncommutative settings and based on the Semigrouop Action Problem and the Decomposition Problem respectively.