A novel image encryption scheme based on Kepler's third law and random Hadamard transform

doi:10.1088/1674-1056/26/12/120504

Abstract In this paper, a novel image encryption scheme based on Kepler's third law and random Hadamard transform is proposed to ensure the security of a digital image. First, a set of Kepler periodic sequences is generated to permutate image data, which is characteristic of the plain-image and the Kepler's third law. Then, a random Hadamard matrix is constructed by combining the standard Hadamard matrix with the hyper-Chen chaotic system, which is used to further scramble the image coefficients when the image is transformed through random Hadamard transform. In the end, the permuted image presents interweaving diffusion based on two special matrices, which are constructed by Kepler periodic sequence and chaos system. The experimental results and performance analysis show that the proposed encrypted scheme is highly sensitive to the plain-image and external keys, and has a high security and speed, which are very suitable for secure real-time communication of image data.

Keywords: Kepler's third law random Hadamard transform interweaving diffusion security

Received: 23 July 2017
Revised: 26 August 2017
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Vx	(Communication using chaos)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61661008 and 61603104), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant Nos. 2015GXNSFBA139256 and 2016GXNSFCA380017), the Funding of Overseas 100 Talents Program of Guangxi Provincial Higher Education, China, the Research Project of Guangxi University of China (Grant No. KY2016YB059), the Guangxi Key Laboratory of Multi-source Information Mining & Security, China (Grant No. MIMS15-07), the Doctoral Research Foundation of Guangxi Normal University, the Guangxi Provincial Experiment Center of Information Science, and the Innovation Project of Guangxi Graduate Education (Grant No. YCSZ2017055).

Corresponding Authors: Jun-Xiu Liu
E-mail: liujunxiu@mailbox.gxnu.edu.cn

Cite this article:

Yu-Ling Luo(罗玉玲), Rong-Long Zhou(周戎龙), Jun-Xiu Liu(刘俊秀), Sen-Hui Qiu(丘森辉), Yi Cao(曹弋) A novel image encryption scheme based on Kepler's third law and random Hadamard transform 2017 Chin. Phys. B 26 120504

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A novel image encryption scheme based on Kepler's third law and random Hadamard transform

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