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A block cipher based on a suitable use of the chaotic standard map

Author

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  • Lian, Shiguo
  • Sun, Jinsheng
  • Wang, Zhiquan

Abstract

Due to their features of ergodicity, sensitivity to initial conditions and sensitivity to control parameters, etc., chaotic maps have good potential for information encryption. In this paper, a block cipher based on the chaotic standard map is proposed, which is composed of three parts: a confusion process based on chaotic standard map, a diffusion function, and a key generator. The parameter sensitivity of the standard map is analyzed, and the confusion process based on it is proposed. A diffusion function with high diffusion speed is designed, and a key generator based on the chaotic skew tent map is derived. Some cryptanalysis on the security of the designed cipher is carried out, and its computational complexity is analyzed. Experimental results show that the new cipher has satisfactory security with a low cost, which makes it a potential candidate for encryption of multimedia data such as images, audios and even videos.

Suggested Citation

  • Lian, Shiguo & Sun, Jinsheng & Wang, Zhiquan, 2005. "A block cipher based on a suitable use of the chaotic standard map," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 117-129.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:1:p:117-129
    DOI: 10.1016/j.chaos.2004.11.096
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    Citations

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    Cited by:

    1. Bowen Zhang & Lingfeng Liu, 2023. "Chaos-Based Image Encryption: Review, Application, and Challenges," Mathematics, MDPI, vol. 11(11), pages 1-39, June.
    2. Lian, Shiguo & Sun, Jinsheng & Wang, Jinwei & Wang, Zhiquan, 2007. "A chaotic stream cipher and the usage in video protection," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 851-859.
    3. Zhang, Linhua, 2008. "Cryptanalysis of the public key encryption based on multiple chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 669-674.
    4. Runze Zhang & Yujie Zhu & Zhongshen Liu & Guohong Feng & Pengfei Diao & Hongen Wang & Shenghong Fu & Shuo Lv & Chen Zhang, 2023. "A Back Propagation Neural Network Model for Postharvest Blueberry Shelf-Life Prediction Based on Feature Selection and Dung Beetle Optimizer," Agriculture, MDPI, vol. 13(9), pages 1-31, September.
    5. Zhao, Liang & Liao, Xiaofeng & Xiao, Di & Xiang, Tao & Zhou, Qing & Duan, Shukai, 2009. "True random number generation from mobile telephone photo based on chaotic cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1692-1699.
    6. Zhou, Qing & Wong, Kwok-wo & Liao, Xiaofeng & Xiang, Tao & Hu, Yue, 2008. "Parallel image encryption algorithm based on discretized chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1081-1092.
    7. Hu, Yue & Liao, Xiaofeng & Wong, Kwok-wo & Zhou, Qing, 2009. "A true random number generator based on mouse movement and chaotic cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2286-2293.
    8. Xiong Wang & Akif Akgul & Sezgin Kacar & Viet-Thanh Pham, 2017. "Multimedia Security Application of a Ten-Term Chaotic System without Equilibrium," Complexity, Hindawi, vol. 2017, pages 1-10, November.
    9. Xiang, Tao & Wong, Kwok-Wo & Liao, Xiaofeng, 2009. "On the security of a novel key agreement protocol based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 672-675.
    10. Wang, Yong & Wong, Kwok-Wo & Liao, Xiaofeng & Xiang, Tao & Chen, Guanrong, 2009. "A chaos-based image encryption algorithm with variable control parameters," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1773-1783.
    11. Wong, Kwok-Wo & Kwok, Bernie Sin-Hung & Yuen, Ching-Hung, 2009. "An efficient diffusion approach for chaos-based image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2652-2663.
    12. Lian, Shiguo, 2009. "Efficient image or video encryption based on spatiotemporal chaos system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2509-2519.
    13. Xiangjun Wu & Yang Li & Jürgen Kurths, 2015. "A New Color Image Encryption Scheme Using CML and a Fractional-Order Chaotic System," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-28, March.
    14. Behnia, S. & Akhshani, A. & Ahadpour, S. & Akhavan, A. & Mahmodi, H., 2009. "Cryptography based on chaotic random maps with position dependent weighting probabilities," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 362-369.

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