Hill Cipher with r-Circulant Matrices

Year 2025, Volume: 10 Issue: 1, 21 - 27, 29.04.2025

Şeyda Dalkılıç , Ahmet Eren Kepekçi , Muhammed Zekeriya Baştürk

https://doi.org/10.30931/jetas.1516337

Abstract

The Hill cipher, a historic symmetric encryption method, has limitations in contemporary cryptography. This study explores enhancing its security by incorporating r-circulant matrices. Existing literature employs circulant matrices within the Hill cipher. In this study we propose a novel encryption algorithm that employs r-circulant matrices with the objective of increasing the algorithm's complexity and resistance to cryptanalysis. The developed algorithm demonstrably achieves a more secure and intricate encryption process which is supported by comparisons and numerical data. Once the algorithm has been identified, it is translated into a computer code and implemented as a program in the Python software language.

Keywords

Hill cipher, r-circulant matrices, cryptology, algorithm

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