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Design of cross-plane colour image encryption based on a new 2D chaotic map and combination of ECIES framework

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Abstract

Chaotic systems are suitable for protecting digital images due to many of their own characteristics. However, many chaos-based image colour encryption algorithms exhibit many disadvantages such as the lack of randomness of the chaotic map, the separate encryption of three colour planes and the inability to transmit the key over a public channel. The main significances of this paper are as follows: Firstly, we propose a chaotic logistic-sine coupling map (2D-CLSM), which exhibits better chaotic performance and randomness than some existing chaotic systems. Secondly, based on 2D-CLSM, we have designed a cross-plane colour image encryption algorithm (CLSM-CCIE). The image pixel values are diffused and scrambled across the planes of the red, green and blue components. The experimental results show that CLSM-CCIE is highly secure and can resist common attacks. Finally, the sensitive data of the symmetric encryption algorithm cannot be transmitted over the common channel. In order to make CLSM-CCIE more applicable in practice, we have further implemented CLSM-CCIE in the elliptic curve integrate encrypt scheme (ECIES) framework in public key Systems. Therefore, it is more convenient and secure to transmit CLSM-CCIE keys and other sensitive data over the public channel.

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The author declares that the data supporting the results of this study are available in the article.

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Funding

This research was funded by the National Key Research and Development Program (2018YFB1800303), the Natural Science Foundation Project of the Science and Technology Department, Jilin Province (20190201188JC), the Higher Education Teaching Reform Research Project of the Education Department, Jilin Province (JLLG685520 190725093004), and Changchun University of Science and Technology Youth Fund (XJJLG-2019-01).

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Authors and Affiliations

  1. School of Computer Science and Technology, Changchun University of Science and Technology, Jilin Province Key Laboratory of Network and Information Security, Information Center, Changchun University of Science and Technology, Changchun, 130033, China

    Donghan Li, Jinqing Li, Xiaoqiang Di & Bo Li

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  1. Donghan Li
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  2. Jinqing Li
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Correspondence to Jinqing Li.

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Li, D., Li, J., Di, X. et al. Design of cross-plane colour image encryption based on a new 2D chaotic map and combination of ECIES framework. Nonlinear Dyn 111, 2917–2942 (2023). https://doi.org/10.1007/s11071-022-07949-8

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