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Hyper-chaotic image encryption system based on N + 2 ring Joseph algorithm and reversible cellular automata

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Abstract

Due to the complex characteristics of chaotic system, such as initial value sensitivity, periodicity and pseudo-randomness, chaotic sequences generated by chaotic system is very suitable for image data encryption after appropriate processing. This paper focuses on chaotic image encryption based on the improved Joseph algorithm, and proposes a hyperchaotic image encryption system based on N + 2 ring Joseph algorithm and reversible cellular automata. The initial value of the chaotic system is generated by the SHA-512 hash value of the original image, which makes the proposed encryption algorithm highly sensitive to the original image. In addition, the proposed N + 2 ring Joseph algorithm is formed by N chaotic sequences rolling forward like gears when scrambling each pixel position of the image. It greatly hides the pixel information of the original text, and increases the scrambling effect and the difficulty of being cracked. Furthermore, in the diffusion stage, we add the reversible cellular automata technology. On the basis of image shuffling, each pixel is further associated with other pixels, so that small changes of in pixel values can produce an avalanche effect. Finally, we conducted simulation experiments and safety analysis. The results illustrate that the encryption algorithm proposed in this paper has good encryption performance, and can effectively resist statistical attacks, differential attacks, known plaintext attacks, ciphertext only attacks, select plaintext attacks and select ciphertext attacks. In conclusion, it is a practical and secure image encryption algorithm.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China(No.61971185) and Natural Science Foundation of Hunan Province(2020JJ4218).

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  1. College of Computer Science and Electronic Engineering, Hunan University, Changsha, 410082, China

    Xiaojuan Ma & Chunhua Wang

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  1. Xiaojuan Ma
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  2. Chunhua Wang
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Correspondence to Chunhua Wang.

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Ma, X., Wang, C. Hyper-chaotic image encryption system based on N + 2 ring Joseph algorithm and reversible cellular automata. Multimed Tools Appl 82, 38967–38992 (2023). https://doi.org/10.1007/s11042-023-15119-0

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  • DOI: https://doi.org/10.1007/s11042-023-15119-0

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