Image encryption algorithm based on V-shaped scanning and matrix multiplication

doi:10.1088/1402-4896/adb103

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Image encryption algorithm based on V-shaped scanning and matrix multiplication

2025-02-12

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Sun, Jiehua

Xiaoqiang Zhang *

C. H. Chen

DOI：10.1088/1402-4896/adb103

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Abstract

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In the big data era, images serve as essential carriers of visual information, widely utilized across fields such as commerce, healthcare, education, and the military. To ensure the security of digital images, image encryption has been widely concerned. In this paper, we propose an image encryption algorithm using a novel two-dimensional (2D) chaotic map, V-shaped scanning and matrix multiplication. Firstly, we combine two classical seed chaotic maps, the Logistic map and the Infinite Collapse Map (ICM) to form a novel 2D hyper-chaotic map named 2D-LICM, which has better performance than its seed maps and several recent 2D chaotic maps in bifurcation diagrams, phase portraits, Lyapunov exponent andsample entropy. Secondly, two chaotic sequences are used to generate a series of matrices which have modular inverse matrices in mode 256, and the original image is divided into 2 x 2 matrix blocks where the matrix multiplication operation is conducted. Thirdly, to further enhance the diffusion effect, we carry out a global exclusive-OR (XOR) diffusion operation by forward and reverse diffusion. Finally, a novel V-shaped scanning is designed to scramble the diffused image. The experimental result shows that the key space of our algorithm exceeds 2199 , making it sufficiently large to resist exhaustive attacks. Additionally, the entropy value of the cipher image for boat.512 is 7.9992, which is very close to the ideal value of 8. Hence, the proposed algorithm is robust, making it appropriate for practical applications.

Keywords:

image encryption

2D hyper-chaotic system

V-shaped scanning

matrix multiplication