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IJEETC 2024 Vol.13(2): 148-159
doi: 10.18178/ijeetc.13.2.148-159

A New 6D Hyperchaos-Based Medical Image Encryption Scheme Using k-Fibonacci Numbers

Samira Dib1,*, Asma Benchiheb2, and Fadila Benmeddour3
1. Department of Electronics, MSBY University, Jijel, Algeria
2. Faculty of Medicine, University of Constantine3, Constantine, Algeria
3. Department of Electronic Engineering, University of M’Sila, M’Sila, Algeria
Email: samiradib@yahoo.fr (S.D.), asmabenchiheb@yahoo.fr (A.B.), benmeddourfadila@yahoo.fr (F.B.)
*Corresponding author

Manuscript received August 28, 2023; revised November 18, 2023; accepted December 12, 2023.

Abstract—In the era of information technology, hospitals, medical centers, doctors and health specialists share millions of images. Securing these images is essential to maintaining patients’ privacy. Several cryptographic algorithms are implemented to meet the increasing demands of transmission systems. As a contribution to securing these data, we propose a novel robust and efficient algorithm. We randomly generate numbers from a six-dimensional hyperchaotic system and Arnold’s cat map to confuse the original images. The confused images are then diffused using a k-Fibonacci matrix. The performance of the proposed algorithm was evaluated using several parameters tested on a set of reference images of different sizes and modalities. The obtained results are conclusive and the performances are excellent, sometimes exceeding those found by other recent algorithms proposed in the literature.

Index Terms—hyperchaotic system, k-Fibonacci numbers, cryptography, medical image

Cite: Samira Dib, Asma Benchiheb, and Fadila Benmeddour, "A New 6D Hyperchaos-Based Medical Image Encryption Scheme Using k-Fibonacci Numbers," International Journal of Electrical and Electronic Engineering & Telecommunications, Vol. 13, No. 2, pp. 148-159, 2024. doi: 10.18178/ijeetc.13.2.148-159

Copyright © 2024 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.