Hill Cipher with r-Circulant Matrices

Authors : Şeyda Dalkılıç, Ahmet Eren Kepekçi, Muhammed Zekeriya Baştürk

Pages : 21-27

Doi:10.30931/jetas.1516337

View : 53 | Download : 51

Publication Date : 2025-04-29

Article Type : Research Paper

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