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Block image encryption based on chaotic map and fractional fourier transformation

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Abstract

In order to prevent others from illegally accessing sensitive image information on the Internet, image encryption has become more and more important. This paper proposes a novel image encryption scheme based on chaotic map and fractional Fourier transformation. The encryption steps are as follows. Firstly, we divide the image into blocks and select high correlation blocks to perform FRFT transformation. This is because it reduces the overall image correlation and saves time at the same time. Secondly, the key related to plain image will be used to change the pixel values. The key of the encryption algorithm relies on the plain image so that the cipher image is sensitive to both the key and the plain image to resist attacks. Finally, the Baker Map is used to scramble the entire image. The scheme has been verified with indicators such as visual inspection, keyspace, encryption time, entropy, encryption quality, histogram, differential analysis, the effect of noise and the effect of occlusion. The results show that the scheme has high security and can effectively resist different types of attacks. Compare with the other two similar image encryption schemes, the proposed encryption algorithm decreases the encryption time and obtains a better histogram.

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Funding

The authors are supported by the Science and technology research project of Hebei higher education Nos.ZD2021011.

The authors have no relevant financial or non-financial interests to disclose.

All data generated or analysed during this study are included in this published article. The code contained in the article is available.

Material preparation, data collection and analysis were performed by Qiao Wang and Wanqing Wu. The first draft of the manuscript was written by Qiao Wang. Wanqing Wu has reviewed and revised the manuscript several times.

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  1. School of Cyber Security and Computer, Hebei University, Baoding, 071000, China

    Wanqing Wu & Qiao Wang

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  1. Wanqing Wu
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  2. Qiao Wang
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Correspondence to Qiao Wang.

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Wu, W., Wang, Q. Block image encryption based on chaotic map and fractional fourier transformation. Multimed Tools Appl 82, 10367–10395 (2023). https://doi.org/10.1007/s11042-022-13675-5

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