Work

An Encoding –Decoding Algorithm Based on k-Fermat and k-Mersenne Numbers

Year: 2025

Type: article

Abstract: In this study, we present an encoding/decoding algorithm using k-Fermat and k-Mersenne numbers. We use Fermat Q-matrices and Mersenne R-matrices, the terms of these matrices are composed of k-Fermat and k-Mersenne numbers, respectively, and look like Fibonacci Q-matrix. In this method, which we will obtain by creating square matrices, we obtain different keys and messages. The purpose of this process is not only to increase the reliability of information security technology, but also to provide the ability to verify information at a high rate.

Source: Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi

DOI: 10.18185/erzifbed.1592108

Authors: Engin Eser, Bahar Kuloǧlu, Engin Özkan

Institutions: Erzincan Binali Yıldırım University, Sivas Bilim ve Teknoloji Üniversitesi, Marmara University

Language: English

Topic: Cryptography and Residue Arithmetic

Subfield: Information Systems

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7077076008

FWCI:

Cites: 15

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