Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2024
  • Volume: 16
  • Issue: 2

Certain concepts from algebra and graph theory in cryptology

Department of Mathematics and Statistics, Mohan Lal Sukhadia University, Udaipur (Rajasthan) India

*E-mail: akrishnaa1@gmail.com

Online published on 3 January, 2025.

Abstract

The use of mathematical concepts in Cryptology applications can result in safer data transfer between two parties and can hide the original message quite effectively. It is the ingenuity of the use of the mathematical ideas which is more important than mere complexity of the calculations in hiding of the original messages. This paper presents some concepts from Abstract Algebra and Graph Theory in order to achieve a significantly safe data transfer between two parties and presents the techniques for encryption and decryption for the same.

Keywords

Permutation, Transposition, Permutation Matrix, Felicitous graph, Euler Path, Euler Circuit, Cipher-Label-Matrix