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An image encryption algorithm based on bit level Brownian motion and new chaotic systems

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Abstract

In this paper, a new image encryption algorithm based on Brownian motion and new 1D chaotic system is introduced. Firstly, SHA 256 hash value of the plain image is used to generate the initial values and system parameters of chaotic systems for confusion and diffusion process. Then, 8 bitplanes of the plain image are scrambled based on Brownian motion, respectively, and the position and value of all pixels are changed simultaneously. After the confusion process, a two directional diffusion process is carried out, and it is made up of row diffusion (RD) and column diffusion (CD). The whole process can be repeated many rounds in order to get better encryption effect. Simulation results and security analysis show that our scheme has properties of large key space, high sensitivity to key, strong resisting statistical and differential attack. So, it has high security and important practical application in image transmission and image encryption.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 61203094), Science and Technology Foundation of Henan Province of China (Grant No. 152102210048), Natural Science Foundation of Educational Committee of Henan Province of China (Grant No. 14A413015), the joint funds between Henan Provincial Government and Ministry of Education of China (Grant No. SBGJ090603), the Research Foundation of Henan University (Grant No. xxjc20140006).

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  1. School of Computer and Information Engineering, Institute of Image Processing and Pattern Recognition, Henan University, Kaifeng, 475004, China

    Xiuli Chai

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  1. Xiuli Chai
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Correspondence to Xiuli Chai.

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Chai, X. An image encryption algorithm based on bit level Brownian motion and new chaotic systems. Multimed Tools Appl 76, 1159–1175 (2017). https://doi.org/10.1007/s11042-015-3088-1

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  • DOI: https://doi.org/10.1007/s11042-015-3088-1

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