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

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Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 18 Sayı: 2
An Encoding –Decoding Algorithm Based on k-Fermat and k-Mersenne Numbers

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

Authors : Engin Eser, Bahar Kuloǧlu, Engin Özkan

Pages : 521-536

Doi:10.18185/erzifbed.1592108

View : 67 | Download : 88

Publication Date : 2025-08-31

Article Type : Research Paper

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.
Keywords : kodlama/kod çözme algoritması, Fermat -Q matris, Mersenne R-matris, minesweeper

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