A meaningful image encryption method based on dynamic update pixel diffusion and 2D hyperchaotic map

doi:10.1007/s11071-024-09769-4

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A meaningful image encryption method based on dynamic update pixel diffusion and 2D hyperchaotic map

2024-05-27

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Qiang Lai *

Yuan Liu

DOI：10.1007/s11071-024-09769-4

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Abstract

En 中文

This paper reports a meaningful image encryption method (SHHM-IEM) based on a novel 2D hyperchaotic map (2D-SHHM) derived from classical Sine and Henon maps, which can be applied to protect global and local information in all types of images, such as remote sensing feature images. The numerical study verifies that 2D-SHHM has the advantages of few bifurcation period windows, complex dynamical behavior, multi-parameter, and strong sequence randomness, which is the preferred system based on chaotic image encryption scheme. The algorithm realizes the dynamic update distribution of pixel positions by generating position matrices with row and column elements to randomly scramble their positions. For diffusion, a multi-directional layer-by-layer method is used to implement the pixel values dynamic update in order to enhance the interaction relationship between the pixels. Simulation results show that the algorithm is characterized by low computational complexity, high key sensitivity, and resistance to various attacks, and in the performance analysis results, the NPCR is 99.6098%\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\%$$\end{document}, the UACI is 33.4621%\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\%$$\end{document}, the CC is 0.000789, and the IE is 7.9994, which indicates that the SHHM-IEA can provide different types of data and information in the transmission process with safe and reliable protection.

Keywords:

Chaos

Hyperhaotic map

Image encryption

Dynamic update

Security performance