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Image encryption using genetic operators and intertwining logistic map

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Abstract

In this paper, we try to propose a new “Selection–Crossover–Mutation” architecture which is based on the modern cryptography from the aspect of genetic mechanisms, mainly draws on the design of the genetic operators. The intertwining logistic map has been used to generate the chaotic sequences owing to its advantages. We take each pixel as an “individual,” each bit of it as a gene, first, the “Selection” phrase, use Monte Carlo method to randomly select two individuals according to the chaotic sequences, cross them, swap their genes using the specified crossover operator in the second phrase, and then finally, change the genes of the individuals randomly for the mutation phrase. Experiments and security analysis show that the indicators of the algorithm are good and can resist common kinds of 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

    Xingyuan Wang & Dahai Xu

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  1. Xingyuan Wang
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  2. Dahai Xu
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Correspondence to Xingyuan Wang or Dahai Xu.

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Wang, X., Xu, D. Image encryption using genetic operators and intertwining logistic map. Nonlinear Dyn 78, 2975–2984 (2014). https://doi.org/10.1007/s11071-014-1639-z

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  • DOI: https://doi.org/10.1007/s11071-014-1639-z

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