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Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion

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Abstract

A novel color image encryption algorithm based on a cross 2D hyperchaotic map is proposed in this paper. The cross 2D hyperchaotic map is constructed using one nonlinear function and two chaotic maps with a cross structure. Chaotic behaviors are illustrated using bifurcation diagrams, Lyapunov exponent spectra, phase portraits, etc. In the color image encryption algorithm, the keys are generated using hash function SHA-512 and the information of the plain color image. First, the color plain image is converted to a combined bit-level matrix and permuted by the chaos-based row and column combined cycle shift scrambling method. Then, the scrambled integer matrix is diffused according to the selecting sequence which depends on the chaotic sequence. Last, decompose the diffusion matrix to get the encrypted color image. Simulation experiments and security evaluations show that the algorithm can encrypt the color image effectively and has good security to resist various kinds of attacks.

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Funding

The work is funded by the Postdoctoral Research Foundation of China (No: 2020M680933), the National Natural Science Foundation of China (Nos: 61701070, 61672124), the Doctoral Start-up Foundation of Liaoning Province (No: 2018540090), Key R&D Projects of Liaoning Province (No: 2019020105-JH2/103), Liaoning Province Science and Technology Innovation Leading Talents Program Project (No: XLYC1802013), Research Fund of Guangxi Key Lab of Multi-source Information Mining & Security (No: MIMS20-M-02), Jinan City ‘20 universities’ Funding Projects Introducing Innovation Team Program (No: 2019GXRC031).

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Authors and Affiliations

  1. School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China

    Lin Teng, Xingyuan Wang, Feifei Yang & Yongjin Xian

  2. Guangxi Key Lab of Multi-Source Information Mining and Security, Guangxi Normal University, Guilin, 541004, China

    Xingyuan Wang

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  1. Lin Teng
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  2. Xingyuan Wang
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Correspondence to Xingyuan Wang.

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Teng, L., Wang, X., Yang, F. et al. Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion. Nonlinear Dyn 105, 1859–1876 (2021). https://doi.org/10.1007/s11071-021-06663-1

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  • DOI: https://doi.org/10.1007/s11071-021-06663-1

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