Paper 2023/1031
Security Analysis of a Color Image Encryption Scheme Based on a Fractional‑Order Hyperchaotic System
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 brute-force attack whose complexity is $\mathcal O(2^{10.57}(WH)^3)$ and needs $2^{9.57}WH$ oracle queries, where $W$ and $H$ are the width and the height of the encrypted image. For example, for an image of size $4000 \times 30000$ ($12$ megapixels image) we obtain a security margin of $81.11$ bits, which is six times lower than the claimed bound. To achieve this result, we present two cryptanalytic attacks, namely a chosen plaintext attack and a chosen ciphertext attack.
Metadata
- Available format(s)
-
PDF
- Category
- Secret-key cryptography
- Publication info
- Preprint.
- Keywords
- image encryptioncryptanalysischaos based encryption
- Contact author(s)
- george teseleanu @ yahoo com
- History
- 2023-07-03: revised
- 2023-07-03: received
- See all versions
- Short URL
- https://ia.cr/2023/1031
- License
-
CC BY-NC-SA
BibTeX
@misc{cryptoeprint:2023/1031,
author = {George Teseleanu},
title = {Security Analysis of a Color Image Encryption Scheme Based on a Fractional‑Order Hyperchaotic System},
howpublished = {Cryptology {ePrint} Archive, Paper 2023/1031},
year = {2023},
url = {https://eprint.iacr.org/2023/1031}
}