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An image encryption algorithm based on dynamic row scrambling and Zigzag transformation

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  • Wang, Xingyuan
  • Chen, Xuan

Abstract

This paper introduces two new one-dimensional chaotic systems. They can be considered as an improvement of Logistic map, Sine map and Tent map. One is the chaotic system composed of Sine and Tent maps (STCS), the other is Logistic-Logistic chaotic system (L-LCS). Based on the two, an image encryption algorithm using dynamic row scrambling and Zigzag transformation is proposed. Firstly, the image is traversed in different directions of odd and even rows, and the results are scrambled with the chaotic sequence generated by STCS. Secondly, based on standard Zigzag scrambling idea, a special traversal method is used, that is, for the different permutation of the lower triangle and the upper triangle of the matrix (each triangular matrix does not contain the values on the main and sub diagonals) in order and direction. Then, combined with the chaotic sequence generated by L-LCS, two different diffusion formulas are used to diffuse the segmented image. Finally, this encryption scheme can also be extended to color images. Experimental simulation and performance analysis show that the encryption algorithm has better security.

Suggested Citation

  • Wang, Xingyuan & Chen, Xuan, 2021. "An image encryption algorithm based on dynamic row scrambling and Zigzag transformation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003167
    DOI: 10.1016/j.chaos.2021.110962
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    References listed on IDEAS

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    1. Wang, Xingyuan & Xue, Wenhua & An, Jubai, 2020. "Image encryption algorithm based on Tent-Dynamics coupled map lattices and diffusion of Household," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Sun, Fuyan & Liu, Shutang & Li, Zhongqin & Lü, Zongwang, 2008. "A novel image encryption scheme based on spatial chaos map," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 631-640.
    3. Xinsheng Li & Zhilong Xie & Jiang Wu & Taiyong Li, 2019. "Image Encryption Based on Dynamic Filtering and Bit Cuboid Operations," Complexity, Hindawi, vol. 2019, pages 1-16, February.
    4. Malik, Dania Saleem & Shah, Tariq, 2020. "Color multiple image encryption scheme based on 3D-chaotic maps," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 646-666.
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    Cited by:

    1. Zhu, Wanting & Sun, Kehui & He, Shaobo & Wang, Huihai & Liu, Wenhao, 2023. "A class of m-dimension grid multi-cavity hyperchaotic maps and its application," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Liu, Xilin & Tong, Xiaojun & Wang, Zhu & Zhang, Miao, 2022. "A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Gong, Li-Hua & Luo, Hui-Xin & Wu, Rou-Qing & Zhou, Nan-Run, 2022. "New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    4. Wei Feng & Xiangyu Zhao & Jing Zhang & Zhentao Qin & Junkun Zhang & Yigang He, 2022. "Image Encryption Algorithm Based on Plane-Level Image Filtering and Discrete Logarithmic Transform," Mathematics, MDPI, vol. 10(15), pages 1-24, August.
    5. Man, Zhenlong & Li, Jinqing & Di, Xiaoqiang & Sheng, Yaohui & Liu, Zefei, 2021. "Double image encryption algorithm based on neural network and chaos," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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