On Construction of weighted orthogonal matrices over finite field and its application in cryptography

TL;DR

This paper introduces a method for constructing weighted orthogonal matrices over finite fields and demonstrates their application in cryptography, enhancing secure communication and key transmission.

Contribution

It presents a novel, easy method for constructing various orthogonal matrices over finite fields with practical cryptographic applications.

Findings

Constructed matrices facilitate secure key transmission

Method simplifies encryption and decryption processes

Enhances cryptographic security against intruders

Abstract

In this article, we propose a method to construct self orthogonal matrix, orthogonal matrix and anti orthogonal matrix over the finite field. Orthogonal matrices has numerous applications in cryptography, so here we demonstrate the application of weighted orthogonal matrix into cryptography. Using the proposed method of construction we see that it is very easy to transmit the private key and can easily convert the encrypted message into original message and at the same time it will be difficult to get the key matrix for intruder.