Title: Colour image encryption based on an improved fractional-order logistic map

Authors: Ismail Haddad; Djamel Herbadji; Aissa Belmeguenai; Selma Boumerdassi

Addresses: Electronics Research Laboratory, University 20 August 1955, Skikda 21000, Algeria ' Electronics Research Laboratory, University 20 August 1955, Skikda 21000, Algeria ' Electronics Research Laboratory, University 20 August 1955, Skikda 21000, Algeria ' Conservatoire National des Arts et Métiers, 292 Rue-Martin, Paris Cédex 03 F-75141, France

Abstract: In this work, we use an improved fractional-order logistic map to introduce a new colour image encryption algorithm. By analysing the Lyapunov exponent and the bifurcation diagram, the map provides a wider range and a uniform distribution of data compared to its classical. It also has additional parameters and thus a larger key space, which makes it better in protection and safety against hacker attacks. Our algorithm relies on random input of pixels in order to obtain a different image in each encryption round to ensure greater protection. The algorithm also provides great permutation and diffusion features. The simulation results and security analysis indicate that our scheme has a good impact on encryption and can withstand various attacks, such as statistical attack, differential attack and data loss and noise attacks.

Keywords: fractional-order; logistic map; image encryption; security analysis.

DOI: 10.1504/IJESDF.2023.127747

International Journal of Electronic Security and Digital Forensics, 2023 Vol.15 No.1, pp.66 - 87

Received: 25 Nov 2021
Accepted: 18 Feb 2022
Published online: 15 Dec 2022 *