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A novel image encryption scheme based on 2-D logistic map and DNA sequence operations

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Abstract

This paper proposes a novel image encryption scheme based on DNA sequence operations and chaotic system. Firstly, two-dimensional logistic chaotic map is employed to modify each pixel of the image, and then, the DNA encoding rules are adopted to encode and generate a DNA matrix. Secondly, pseudo-random sequences generated by two-dimensional logistic map are transformed into another DNA matrix. Thirdly, DNA addition, subtraction and complementary rules are used to control the operations between two DNA matrices for obtaining the ciphered results. Finally, the ciphered image is obtained by decoding the DNA matrix formulations into binary formulations. Experimental results and theoretical analysis show that the scheme is extraordinarily high secure to resist various attacks.

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Acknowledgments

This research is supported by the National Natural Science Foundation of China (Nos: 61370145, 61173183 and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (No: 20070141014), Program for Liaoning Excellent Talents in University (No: LR2012003), the National Natural Science Foundation of Liaoning province (No: 20082165) and the Fundamental Research Funds for the Central Universities (No: DUT12JB06).

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Authors and Affiliations

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, China

    Xing-Yuan Wang & Yuan-Yuan Zhao

  2. City Institute, Dalian University of Technology, Dalian, 116600, China

    Ying-Qian Zhang

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  1. Xing-Yuan Wang
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  2. Ying-Qian Zhang
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  3. Yuan-Yuan Zhao
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Correspondence to Xing-Yuan Wang.

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Wang, XY., Zhang, YQ. & Zhao, YY. A novel image encryption scheme based on 2-D logistic map and DNA sequence operations. Nonlinear Dyn 82, 1269–1280 (2015). https://doi.org/10.1007/s11071-015-2234-7

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  • DOI: https://doi.org/10.1007/s11071-015-2234-7

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