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Chaos-Based Image Encryption: Review, Application, and Challenges

Author

Listed:
  • Bowen Zhang

    (School of Software, Nanchang University, Nanchang 330031, China)

  • Lingfeng Liu

    (School of Software, Nanchang University, Nanchang 330031, China)

Abstract

Chaos has been one of the most effective cryptographic sources since it was first used in image-encryption algorithms. This paper closely examines the development process of chaos-based image-encryption algorithms from various angles, including symmetric and asymmetric algorithms, block ciphers and stream ciphers, and integration with other technologies. The unique attributes of chaos, such as sensitivity to initial conditions, topological transitivity, and pseudo-randomness, are conducive to cross-referencing with other disciplines and improving image-encryption methods. Additionally, this paper covers practical application scenarios and current challenges of chaotic image encryption, thereby encouraging researchers to continue developing and complementing existing situations, and may also serve as a basis of future development prospects for chaos-based image encryption.

Suggested Citation

  • Bowen Zhang & Lingfeng Liu, 2023. "Chaos-Based Image Encryption: Review, Application, and Challenges," Mathematics, MDPI, vol. 11(11), pages 1-39, June.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2585-:d:1164291
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    References listed on IDEAS

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    1. Çavuşoğlu, Ünal & Kaçar, Sezgin & Pehlivan, Ihsan & Zengin, Ahmet, 2017. "Secure image encryption algorithm design using a novel chaos based S-Box," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 92-101.
    2. Zhang, Shijie & Liu, Lingfeng, 2021. "A novel image encryption algorithm based on SPWLCM and DNA coding," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 723-744.
    3. Zhang, Linhua & Liao, Xiaofeng & Wang, Xuebing, 2005. "An image encryption approach based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 759-765.
    4. Gao, Haojiang & Zhang, Yisheng & Liang, Shuyun & Li, Dequn, 2006. "A new chaotic algorithm for image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 393-399.
    5. García-Guerrero, E.E. & Inzunza-González, E. & López-Bonilla, O.R. & Cárdenas-Valdez, J.R. & Tlelo-Cuautle, E., 2020. "Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    6. Mazloom, Sahar & Eftekhari-Moghadam, Amir Masud, 2009. "Color image encryption based on Coupled Nonlinear Chaotic Map," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1745-1754.
    7. Zou, Chengye & Wang, Xingyuan & Zhou, Changjun & Xu, Shujuan & Huang, Chun, 2022. "A novel image encryption algorithm based on DNA strand exchange and diffusion," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    8. Kwok, H.S. & Tang, Wallace K.S., 2007. "A fast image encryption system based on chaotic maps with finite precision representation," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1518-1529.
    9. Kun Zhang & Jian-bo Fang, 2015. "Color Image Encryption Algorithm Based on TD-ERCS System and Wavelet Neural Network," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, October.
    10. 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.
    11. Song, Wei & Fu, Chong & Zheng, Yu & Tie, Ming & Liu, Jun & Chen, Junxin, 2023. "A parallel image encryption algorithm using intra bitplane scrambling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 71-88.
    12. 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.
    13. Rhouma, Rhouma & Meherzi, Soumaya & Belghith, Safya, 2009. "OCML-based colour image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 309-318.
    14. 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.
    15. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    16. Çavuşoğlu, Ünal & Akgül, Akif & Zengin, Ahmet & Pehlivan, Ihsan, 2017. "The design and implementation of hybrid RSA algorithm using a novel chaos based RNG," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 655-667.
    17. Xiao, Di & Liao, Xiaofeng & Wei, Pengcheng, 2009. "Analysis and improvement of a chaos-based image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2191-2199.
    18. Behnia, S. & Akhshani, A. & Mahmodi, H. & Akhavan, A., 2008. "A novel algorithm for image encryption based on mixture of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 408-419.
    19. 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.
    20. Nardo, Lucas G. & Nepomuceno, Erivelton G. & Arias-Garcia, Janier & Butusov, Denis N., 2019. "Image encryption using finite-precision error," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 69-78.
    21. 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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