THERMAL SCIENCE

International Scientific Journal

Adel A. Bahaddad

,

Muhammad Asif

,

Usman M. Ashraf

,

Yousef Asiri

,

Salem Alkhalaf

THE SECURITY OF TEXT DATA BASED ON CYCLIC CODES OVER ALGEBRAIC STRUCTURE

ABSTRACT
The demand for network security is increasing exponentially as businesses strive to protect personal data from theft or loss. Data security is a paramount concern for both individuals and organizations engaged in various forms of communication, particularly in cyberspace due to the rise of digital computing and communication. With the rapid advancement in digital data exchange, securing information during transmission and storage has become increasingly critical. Given the extensive use of text in security agencies and industries, it is crucial to protect confidential text data from unauthorized access. This paper proposes the use of Bose Chaudhary Hochquenghem (BCH) codes over the Galois field in a modified advanced encryption standard (AES) algorithm to secure text data. Secret keys are generated using the generator polynomial of BCH codes over the Galois field, which is also applied to construct maximum distance separable (MDS) matrices. The proposed scheme enhances the mixed column operation and sub-key construction steps of the AES algorithm using BCH codes over the Galois field. The secret key, based on the designed distance of BCH codes, is difficult to predict using exhaustive key search methods. The avalanche effect test, involving single-bit changes in plaintext and secret keys, along with the popular national institute of standards and technology (NIST) test, confirms that the proposed scheme improves ciphertext encryption. Security analysis results demonstrate better encryption performance for text data. In the future, this approach could be adapted for encrypting images, audio, and video.
KEYWORDS
AES algorithm, cryptography, cipher text, cyclic codes, Galois field
PAPER SUBMITTED: 2024-07-13
PAPER REVISED: 2024-10-05
PAPER ACCEPTED: 2024-11-02
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406205B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [5205 - 5215]
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The security of text data based on cyclic codes over algebraic structure

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence