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Fast image encryption algorithm based on 2D-FCSM and pseudo-wavelet transform

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Abstract

Image security is an essential aspect of research in network transmission. To improve the security of image encryption, a two-dimensional Fibonacci combined with cubic and sine map (2D-FCSM) is designed. Through a series of randomness tests, the proposed map is shown to have a wide range of chaotic and hyperchaotic properties. Besides, a pseudo-wavelet transform (PWT) decomposition method is proposed. The method extracts the main information of the image by resampling and preprocessing to reduce the amount of operational data and improve the efficiency. Further, an efficient image encryption algorithm is designed using 2D-FCSM and PWT. Firstly, the image is decomposed using the PWT, and then, pseudo-random sequences are generated by the 2D-FCSM for pixel-level processing of the low-frequency component and block-level processing of the detail components. The experimental results show that the proposed algorithm has desirable encryption effect, strong security and high encryption efficiency.

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Some or all of the data generated or used in this study are available from the corresponding author upon reasonable request.

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Correspondence to Xiaoqiang Zhang.

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Zhang, X., Liu, Z. & Yang, X. Fast image encryption algorithm based on 2D-FCSM and pseudo-wavelet transform. Nonlinear Dyn 111, 6839–6853 (2023). https://doi.org/10.1007/s11071-022-08185-w

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