arXiv subjects

A. Telveenus

Publications and source records attributed to A. Telveenus.

3 recordsLinked to original sources

arXiv2026

Permutation Polynomials over $\mathbb{Z}_{n}$ and T-quaternion Rings

T-quaternion rings are a special class of commutative unital subrings of the quaternion rings over commutative rings. Permutation Polynomials (PP) are typically defined over finite fields, such as $\mathbb{F}_{q}$, where $q$ is a prime power. This article examines permutation polynomials over finite T-quaternion rings, focusing specifically on linear, quadratic, and cubic cases. The study begins with permutation polynomials over the rings $\mathbb{Z}_{n}$, before extending the discussion to T-quaternion rings.

math.RA↗

arXiv2024

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

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.

cs.CR↗

arXiv2024

Two RSA-based Cryptosystems

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 integrated into the Discrete Fourier Transform, leading to the development of new cryptosystems known as RSA-DFT and RSA-HGR.

cs.CR↗