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A new simple chaotic system and its application in medical image encryption

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Abstract

Today, medical imaging suffers from serious issues such as malicious tampering and privacy leakage. Encryption is an effective way to protect these images from security threats. Among the available encryption algorithms, chaos-based methods have strong cryptographic properties, because chaotic systems are sensitive to initial conditions and parameters. However, traditional chaotic systems are easy to build, analyze, predict and can be re-scaled to any desired frequency. Thus, encryption schemes using traditional chaotic systems have low security levels. In this work, we propose a new simple chaotic system that utilizes a hyperbolic sine as its nonlinearity; this nonlinearity has rarely appeared in previous studies. Furthermore, the new chaotic system uses a decorrelation operation to enhance its performance. Statistical testing verifies that the chaotic sequence has good pseudorandom characteristics. In this study, we propose a scheme for medical image encryption based on this new chaotic system. The results of tests show that this encryption method can encrypt images effectively in a single round and that the proposed scheme provides sufficient security against known attacks.

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Acknowledgements

The authors would like to thank Wenlong Xin for providing knowledge of the medical images. All the medical images used are from the First Hospital affiliated with Lanzhou University and the DICOM database. This study was supported by Fundamental Research Funds for the Central Universities No. lzujbky-2016-238) and the National Natural Science Foundation of China (No. 61175012).

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Authors and Affiliations

  1. School of Information Science and Engineering, Lanzhou University, No. 222, TianShui Road (south), Lanzhou, China

    Jizhao Liu, Yide Ma, Shouliang Li, Jing Lian & Xinguo Zhang

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  1. Jizhao Liu
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  2. Yide Ma
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  3. Shouliang Li
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  4. Jing Lian
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  5. Xinguo Zhang
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Correspondence to Yide Ma.

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Liu, J., Ma, Y., Li, S. et al. A new simple chaotic system and its application in medical image encryption. Multimed Tools Appl 77, 22787–22808 (2018). https://doi.org/10.1007/s11042-017-5534-8

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  • DOI: https://doi.org/10.1007/s11042-017-5534-8

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