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Color image encryption using orthogonal Latin squares and a new 2D chaotic system

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Abstract

Recently, many image encryption schemes have been developed using Latin squares. When encrypting a color image, these algorithms treat the color image as three greyscale images and encrypt these greyscale images one by one using the Latin squares. Obviously, these algorithms do not sufficiently consider the inner connections between the color image and Latin square and thus result in many redundant operations and low efficiency. To address this issue, in this paper, we propose a new color image encryption algorithm (CIEA) that sufficiently considers the properties of the color image and Latin square. First, we propose a two-dimensional chaotic system called 2D-LSM to address the weaknesses of existing chaotic systems. Then, we design a new CIEA using orthogonal Latin squares and 2D-LSM. The proposed CIEA can make full use of the inherent connections of the orthogonal Latin squares and color image and executes the encryption process in the pixel level. Simulation and security analysis results show that the proposed CIEA has a high level of security and can outperform some representative image encryption algorithms.

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Notes

  1. https://ww2.mathworks.cn/matlabcentral/fileexchange/233-let?requestedDomain=zh.

  2. http://sipi.usc.edu/database/.

  3. http://decsai.ugr.es/cvg/dbimagenes/.

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Acknowledgements

This work was supported in part by the National Key Research and Development Program of China under Grants 2018YFB1003800 and 2018YFB1003805, and the National Natural Science Foundation of China under Grants 62071142, 62001304 and 61701137, and the Guangdong Basic and Applied Basic Research Foundation under Grants 2021A1515011406 and 2019A1515110410.

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Authors and Affiliations

  1. School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, 518055, China

    Zhongyun Hua, Zhihua Zhu & Yongyong Chen

  2. Guangdong Key Laboratory of Intelligent Information Processing, College of Electronics and Information Engineering, Shenzhen University, Shenzhen, 518060, China

    Yuanman Li

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  1. Zhongyun Hua
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  2. Zhihua Zhu
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Correspondence to Zhongyun Hua.

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Hua, Z., Zhu, Z., Chen, Y. et al. Color image encryption using orthogonal Latin squares and a new 2D chaotic system. Nonlinear Dyn 104, 4505–4522 (2021). https://doi.org/10.1007/s11071-021-06472-6

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