An image encryption method based on multi-space confusion using hyperchaotic 2D Vincent map derived from optimization benchmark function

• Published in: Nonlinear dynamics Vol. 111; no. 21; pp. 20377 - 20405
• Main Authors: Erkan, Uğur, Toktas, Abdurrahim, Memiş, Samet, Lai, Qiang, Hu, Genwen
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.11.2023; Springer Nature B.V
• Subjects: Algorithms; Automotive Engineering; Benchmarks; Classical Mechanics; Computer engineering; Confusion; Control; Cryptography; Cybersecurity; Decomposition; Dynamical Systems; Encryption; Engineering; Entropy; Liapunov exponents; Matrices (mathematics); Mechanical Engineering; Multimedia; Optimization; Optimization algorithms; Original Paper; Permutations; Vibration; Wide area networks; Chaos; Hyperchaotic map; Image encryption; Vincent map; Chaotic system; Two-dimensional chaotic map
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-023-08859-z

A novel multi-space confusion image encryption (MSC-IE) method based on 2D Vincent map is presented in this study. In order to provide a more secure method, the MSC-IE consists of two-stage column and row permutation processing. The 2D Vincent map is derived from the Vincent function, which is an optimization benchmark function. The chaotic performance of the 2D Vincent map is examined through rigorous evaluations such as bifurcation and phase space trajectory diagrams, and Lyapunov exponent, sample entropy, correlation dimension and Kolmogorov entropy which are compared with the state of the art, as well. In the two-stage permutation, the column of the image is scrambled and the rows of the decomposed columns are shuffled, and then the row of the image is scrambled and the columns of the decomposed rows are shuffled. In the diffusion stage, a sequence matrix is converted into an image matrix and diagonally reordered. This reordered image is summed with the permutated image. The result is a completely unrecognizable ciphertext image. The MSC-IE is subjected to reliable cryptanalysis and cyber-attacks, and some results are compared with available reported results. The MSC-IE provides the most secure images due to the superior hyperchaotic performance of the 2D Vincent map.