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

Mohammed Ibrahim Anyass, Mohammed Muniru Iddrisu, Peter Awon-natemi Agbedemnab

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Source: Crossref

Published: Sep 14, 2026

DOI: 10.62072/acm.2026.09042

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Source 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’). 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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A Modified Hill Cipher Cryptosystem Using Columnar Transposition for end-to-end Communication — Mathematical Frontier Network