An RSA Cryptosystem over a Halidon Group Ring of a Dihedral Group

TL;DR

This paper proposes a novel RSA cryptosystem based on a halidon group ring of a dihedral group, addressing the complexities introduced by non-abelian group structures.

Contribution

It introduces a new cryptosystem framework utilizing non-abelian group rings, expanding RSA applications beyond traditional abelian groups.

Findings

Cryptosystem leverages non-abelian group properties

Decryption logic is complex due to non-commutativity

Potential for enhanced security through group ring structures

Abstract

The article explores the creation of a cryptosystem using a halidon group ring of a dihedral group. Due to the non-abelian nature of the group, constructing the cryptosystem is more challenging compared to an abelian group. The logic used to develop a decryption programme was also quite complex.