3 papers
math.RA2026
A Note on Quaternions over Commutative Rings
Antony Telveenus
The ring of quaternions is defined over the field of real numbers. This article extends that framework by defining quaternions over a class of commutative unital rings and generali…
cs.CR2024
An RSA Cryptosystem over a Halidon Group Ring of a Dihedral Group
A. Telveenus
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 mor…
cs.CR2024
Two RSA-based Cryptosystems
A. Telveenus
The cryptosystem RSA is a very popular cryptosystem in the study of Cryptography. In this article, we explore how the idea of a primitive mth root of unity in a ring can be integra…