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Deciphering an image cipher based on 3-cell chaotic map and biological operations

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Abstract

In recent years, it is popular that the combination of chaos and DNA is employed for image ciphers. There have been a great number of image ciphers which are designed based on chaos and DNA, but the corresponding cryptanalytic works are insufficient and in-depth study should be made. In this paper, we decipher an image cipher combining a 3-cell chaotic map with DNA. It was claimed that this cipher has high security and can resist different well-known attacks. However, we demonstrate that the claim is not reasonable, since the cipher can be broken by chosen plaintext attack with the complexity \(O({\alpha \beta })\), where \(\alpha \) and \(\beta \) represent the number of the image rows and columns, respectively.

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Acknowledgments

The work was supported by the Fundamental Research Funds for the Central Universities (Grant Nos. SWU115016, XDJK2015C077, XDJK2015B030), the National Natural Science Foundation of China (Grant Nos. 61462032, 61402380, 61403313, 61374078), the Natural Science Foundation of Jiangxi Province (Grant No. 20142BAB217012), and the Natural Science Foundation Project of Chongqing CSTC (Grant No. cstc2014jcyjA40014).

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Authors and Affiliations

  1. School of Electronics and Information Engineering, Southwest University, Chongqing, 400715, China

    Yushu Zhang

  2. College of Computer and Information Sciences, Southwest University, Chongqing, 400715, China

    Yantao Li

  3. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Wenying Wen

  4. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China

    Yongfei Wu

  5. School of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Jun-xin Chen

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  1. Yushu Zhang
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  2. Yantao Li
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  3. Wenying Wen
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  4. Yongfei Wu
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  5. Jun-xin Chen
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Corresponding author

Correspondence to Yantao Li.

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Zhang, Y., Li, Y., Wen, W. et al. Deciphering an image cipher based on 3-cell chaotic map and biological operations. Nonlinear Dyn 82, 1831–1837 (2015). https://doi.org/10.1007/s11071-015-2280-1

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  • DOI: https://doi.org/10.1007/s11071-015-2280-1

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