A New Application to Coding Theory via Fibonacci and Lucas Numbers

Abstract

Coding/decoding algorithms are of great importance to help in improving information security sinceinformation security is a more significant problem in recent years. In this paper we introduce two newcoding/decoding algorithms using Fibonacci Q-matrices and R-matrices. Our models are based on theblocked message matrices and the encryption of each message matrix with different keys. These newalgorithms will not only increase the security of information but also has high correct ability.