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Cryptanalysis of hybrid secure image encryption based on Julia set fractals and three-dimensional Lorenz chaotic map

Author

Listed:
  • Munir, Noor
  • Khan, Majid
  • Jamal, Sajjad Shaukat
  • Hazzazi, Mohammad Mazyad
  • Hussain, Iqtadar

Abstract

Recently a hybrid secure image encryption scheme based on Julia set and three-dimensional Lorenz chaotic system was suggested. The offered scheme was based on the multiplicative operation carried out by Julia set fractals and bitwise XOR which was implemented by the trajectories obtained from the Lorenz chaotic system. This paper presents the cryptanalysis of the scheme through a chosen-plaintext attack by taking three different chosen images. In this work, a practical chosen-plaintext attack is performed which reveals that the cryptosystem depending on only multiplication and bitwise XOR operation can be effortlessly attacked. The results of the analysis performed on the retrieved image reflect the effectiveness of the chosen-plaintext attack which fruitfully produces the original image.

Suggested Citation

  • Munir, Noor & Khan, Majid & Jamal, Sajjad Shaukat & Hazzazi, Mohammad Mazyad & Hussain, Iqtadar, 2021. "Cryptanalysis of hybrid secure image encryption based on Julia set fractals and three-dimensional Lorenz chaotic map," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 826-836.
    • Handle: RePEc:eee:matcom:v:190:y:2021:i:c:p:826-836
    DOI: 10.1016/j.matcom.2021.06.008
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    References listed on IDEAS

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    1. Hao Zhou & Muhammad Tanveer & Jingjng Li & Basil K. Papadopoulos, 2020. "Comparative Study of Some Fixed-Point Methods in the Generation of Julia and Mandelbrot Sets," Journal of Mathematics, Hindawi, vol. 2020, pages 1-15, July.
    2. Majid Khan & Hafiz Muhammad Waseem, 2018. "A novel image encryption scheme based on quantum dynamical spinning and rotations," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-23, November.
    3. Rafik Hamza & Alzubair Hassan & Teng Huang & Lishan Ke & Hongyang Yan, 2019. "An Efficient Cryptosystem for Video Surveillance in the Internet of Things Environment," Complexity, Hindawi, vol. 2019, pages 1-11, December.
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    Cited by:

    1. Liu, Lingfeng & Wang, Jie, 2023. "A cluster of 1D quadratic chaotic map and its applications in image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 89-114.
    2. Zhou, Rong & Yu, Simin, 2024. "Break an enhanced plaintext-related chaotic image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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