A New Cryptography Model via Fibonacci and Lucas Numbers

TL;DR

This paper introduces two novel cryptography algorithms utilizing Fibonacci-based matrices, enhancing security and accuracy in message encryption and decryption.

Contribution

The paper presents new Fibonacci and Lucas number-based coding algorithms that improve security and correctness in cryptographic processes.

Findings

Enhanced security through Fibonacci matrix encryption

High correctness in message decoding

Novel algorithms based on Fibonacci and Lucas matrices

Abstract

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