Use of Commutativity for Cryptology in Secret Communication

TL;DR

This paper introduces a novel cryptographic method leveraging the commutativity property of interconnected systems to enhance secret communication, validated through simulations and examples.

Contribution

It presents an original cryptology approach based on commutativity, a property previously used in system design but not for secure communication.

Findings

New cryptographic method demonstrated with examples

Method validated via Matlab Simulink simulations

Potential for improved secure transmission channels

Abstract

Commutativity of subsystems in cascade connected forms to form larger systems gets worthy to improve noise disturbance properties, stability, robustness and many other properties in system design. In this paper, another benefit of commutativity property is indicated, as far as the author knowledge for the first time, and illustrated by examples. This benefit is the gain of a new and original method for transmission of secret signals when travelling in a transmission channel. Hence, the paper presents an original and alternative method in cryptology. Their results are all validated by illustrative examples and Matlab simulation toolbox Simulink.