Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory

Abstract

In this article, we have developed a new method for coding\decoding the Jacobsthal and Jacobsthal-Lucas sequences via matrix representations. In this method, coding\decoding is done by transforming the messages into a square matrix. This process aims to not only increase the reliability of information security technology but also to provide the ability to verify information at a high rate.