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Chin. Phys. B, 2016, Vol. 25(10): 100503    DOI: 10.1088/1674-1056/25/10/100503
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A novel color image encryption algorithm based on genetic recombination and the four-dimensional memristive hyperchaotic system

Xiu-Li Chai(柴秀丽)1,2, Zhi-Hua Gan(甘志华)3, Yang Lu(路杨)4, Miao-Hui Zhang(张苗辉)1, Yi-Ran Chen(陈怡然)2
1 School of Computer and Information Engineering, Institute of Image Processing and Pattern Recognition, Henan University, Kaifeng 475004, China;
2 Department of Electrical and Computer Engineering, University of Pittsburgh, Pittsburgh, PA 15261, USA;
3 School of Software, Henan University, Kaifeng 475004, China;
4 Research Department, Henan University, Kaifeng 475004, China
Abstract  Recently, many image encryption algorithms based on chaos have been proposed. Most of the previous algorithms encrypt components R, G, and B of color images independently and neglect the high correlation between them. In the paper, a novel color image encryption algorithm is introduced. The 24 bit planes of components R, G, and B of the color plain image are obtained and recombined into 4 compound bit planes, and this can make the three components affect each other. A four-dimensional (4D) memristive hyperchaotic system generates the pseudorandom key streams and its initial values come from the SHA 256 hash value of the color plain image. The compound bit planes and key streams are confused according to the principles of genetic recombination, then confusion and diffusion as a union are applied to the bit planes, and the color cipher image is obtained. Experimental results and security analyses demonstrate that the proposed algorithm is secure and effective so that it may be adopted for secure communication.
Keywords:  genetic recombination      memristive hyperchaotic system      color image encryption      confusion      diffusion  
Received:  03 April 2016      Revised:  06 June 2016      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Vx (Communication using chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61203094 and 61305042), the Natural Science Foundation of the United States (Grant Nos. CNS-1253424 and ECCS-1202225), the Science and Technology Foundation of Henan Province, China (Grant No. 152102210048), the Foundation and Frontier Project of Henan Province, China (Grant No. 162300410196), the Natural Science Foundation of Educational Committee of Henan Province, China (Grant No. 14A413015), and the Research Foundation of Henan University, China (Grant No. xxjc20140006).
Corresponding Authors:  Xiu-Li Chai     E-mail:

Cite this article: 

Xiu-Li Chai(柴秀丽), Zhi-Hua Gan(甘志华), Yang Lu(路杨), Miao-Hui Zhang(张苗辉), Yi-Ran Chen(陈怡然) A novel color image encryption algorithm based on genetic recombination and the four-dimensional memristive hyperchaotic system 2016 Chin. Phys. B 25 100503

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