Security Analysis of a Color Image Encryption Scheme Based on a Fractional-Order Hyperchaotic System

George Teşeleanu, George Teşeleanu

2025

Abstract

In 2022, Hosny et al. introduce an image encryption scheme that employs a fractional-order chaotic system. Their approach uses the hyper-chaotic system to generate the system’s main parameter, namely a secret permutation which is dependent on the size and the sum of the pixels of the source image. According to the authors, their scheme offers adequate security (i.e. 498 bits) for transmitting color images over unsecured channels. Nevertheless, in this paper we show that the scheme’s security is independent on the secret parameters used to initialize the hyper-chaotic system. More precisely, we provide a chosen plaintext/ciphertext attack whose complexity is O(6(WH)2) and needs WH oracle queries, where W and H are the width and the height of the encrypted image. For example, for an image of size 4000×3000 (12 megapixels image) we obtain a security margin of 49.61 bits, which is 10 times lower than the claimed bound.

Paper Citation

in Harvard Style

Teşeleanu G. (2025). Security Analysis of a Color Image Encryption Scheme Based on a Fractional-Order Hyperchaotic System. In Proceedings of the 11th International Conference on Information Systems Security and Privacy - Volume 2: ICISSP; ISBN 978-989-758-735-1, SciTePress, pages 564-570. DOI: 10.5220/0013218900003899

in Bibtex Style

@conference{icissp25,
author={George Teşeleanu},
title={Security Analysis of a Color Image Encryption Scheme Based on a Fractional-Order Hyperchaotic System},
booktitle={Proceedings of the 11th International Conference on Information Systems Security and Privacy - Volume 2: ICISSP},
year={2025},
pages={564-570},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013218900003899},
isbn={978-989-758-735-1},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Information Systems Security and Privacy - Volume 2: ICISSP
TI - Security Analysis of a Color Image Encryption Scheme Based on a Fractional-Order Hyperchaotic System
SN - 978-989-758-735-1
AU - Teşeleanu G.
PY - 2025
SP - 564
EP - 570
DO - 10.5220/0013218900003899
PB - SciTePress