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A Modified Hill Cipher Cryptosystem Using Columnar Transposition for end-to-end Communication

1Department of Mathematics, University of Technology and Applied Sciences, Ghana.2Department of Mathematics, Faculty of Physical Sciences, University for Development Studies, P. O. BOX TL 1882, Ghana.3Department of Information Systems and Technology, University of Technology and Applied sciences, Ghana
* Corresponding Author: Mohammed Ibrahim Anyass. Email: ibrahimmohammedanyass@gmail.com

Annals of Communications in Mathematics 2026, 9(3), 10. https://doi.org/10.62072/acm.2026.090XX(registering-DOI)
Received: 12 July 2026 |
Accepted: 03 September 2026 |
Published: XX September 2026

Abstract:

Digital communication among individuals, institutions, and enterprises across internet-based platforms has grown substantially over the past decades. This sharp increase has greatly exposed sensitive information to adversarial attacks and to substantial data losses. Although many cryptosystems have been proposed and implemented to address these challenges, daily reports continue to reveal successful attacks. In this paper, we propose a symmetric-key cryptosystem to improve message security. The proposed system combines the classical Hill cipher with columnar transposition. It uses four distinct keys: two square key matrices and two additional keys termed ‘key-within-key’ (𝜔). The Hill cipher is enhanced by expanding the character space to include all printable ASCII characters, mitigating known-plaintext attacks. The key space is doubled by using the transpose of the key matrix as a second key. Encryption is performed in two rounds, each round employing two of the four keys; decryption follows the reverse process. Matlab simulation conducted was observed to display efficient results.

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Cite This Article

M. I. Anyass, M. M. Iddrisu and P. A. Agbedemnab.
A Modified Hill Cipher Cryptosystem Using Columnar Transposition for end-to-end Communication.
Annals of Communications in Mathematics
2026,
9(3):
10.
https://doi.org/10.62072/acm.2026.090XX(registering-DOI)

Creative Commons License
Copyright © 2026 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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