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A new two-dimensional sine-coupled-logistic map and its application in image encryption

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Abstract

Chaotic map has some important features such as unpredictability, ergodicity, and complexity. When chaotic map is widely used for information transmission and secure communication, its chaotic performance decides the security of encryption algorithm. For the purpose of improving the chaotic performance, we put forward a novel two-dimensional Sine-coupled-Logistic map (2D-SCLM) in this paper. By comparing with other 2D chaotic maps, 2D-SCLM has more excellent pseudo-random characteristics, unpredictability, and wider range of chaos. For the purpose of studying its application, we put forward an image encryption approach based on 2D-SCLM (SCLM-IEA). Firstly, a flag shape scrambling algorithm is designed to alter the pixel location of the image. Secondly, a cross transform algorithm is developed, the process of scrambling and diffusion is executed simultaneously. Finally, the entire image is processed by a supernumerary diffusion. Simulation experiments and performance analysis signify that SCLM-IEA has more excellent security standard than some algorithms.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No: 61672124), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund (No: MMJJ20170203), Liaoning Province Science and Technology Innovation Leading Talents Program Project (No: XLYC1802013), Key R&D Projects of Liaoning Province (No: 2019020105-JH2/103), Jinan City ‘20 universities’ Funding Projects Introducing Innovation Team Program (No: 2019GXRC031), Research Fund of Guangxi Key Lab of Multi-source Information Mining & Security (No: MIMS20-M-02).

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Authors and Affiliations

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

    Xingyuan Wang, Xuan Chen & Maochang Zhao

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

    Xingyuan Wang

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  1. Xingyuan Wang
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  2. Xuan Chen
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Correspondence to Xingyuan Wang or Xuan Chen.

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Wang, X., Chen, X. & Zhao, M. A new two-dimensional sine-coupled-logistic map and its application in image encryption. Multimed Tools Appl 82, 35719–35755 (2023). https://doi.org/10.1007/s11042-023-14674-w

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  • DOI: https://doi.org/10.1007/s11042-023-14674-w

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