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Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding

Author

Listed:
  • Shenli Zhu

    (Software School, Xinjiang University, Urumqi 830091, China
    School of Computer Science and Engineering, Central South University, Changsha 410083, China)

  • Xiaoheng Deng

    (School of Computer Science and Engineering, Central South University, Changsha 410083, China)

  • Wendong Zhang

    (Software School, Xinjiang University, Urumqi 830091, China)

  • Congxu Zhu

    (School of Computer Science and Engineering, Central South University, Changsha 410083, China)

Abstract

In this paper, a new one-dimensional fractional chaotic map is proposed and an image encryption scheme based on parallel DNA coding is designed by using the chaotic map. The mathematical model of the new chaotic system combines a sine map and a fraction operation. Compared with some traditional one-dimensional chaotic systems, the new chaotic system has a larger range of chaotic parameters and better chaotic characteristics, which makes it more suitable for applications in information encryption. In addition, an image encryption algorithm based on parallel DNA coding is proposed, which overcomes the shortcoming of common DNA coding-based image encryption algorithms. Parallel computing significantly increases the speed of encryption and decryption algorithms. The initial key of the cryptosystem is designed to be related to the SHA-3 hash value of the plaintext image so that the algorithm can resist a chosen-plaintext attack. Simulation experiments and security analysis results show that the proposed image encryption scheme has good encryption performance and less time overhead, and has strong robustness to noise and data loss attacks, which indicates that the proposed image encryption scheme has good application potential in secure communication applications.

Suggested Citation

  • Shenli Zhu & Xiaoheng Deng & Wendong Zhang & Congxu Zhu, 2023. "Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding," Mathematics, MDPI, vol. 11(1), pages 1-22, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:1:p:231-:d:1022799
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    References listed on IDEAS

    as
    1. Zhu, Hegui & Ge, Jiangxia & Qi, Wentao & Zhang, Xiangde & Lu, Xiaoxiong, 2022. "Dynamic analysis and image encryption application of a sinusoidal-polynomial composite chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 188-210.
    2. 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.
    3. Hongyan Zang & Mengdan Tai & Xinyuan Wei, 2022. "Image Encryption Schemes Based on a Class of Uniformly Distributed Chaotic Systems," Mathematics, MDPI, vol. 10(7), pages 1-21, March.
    4. 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.
    5. Shijie Zhang & Lingfeng Liu & Hongyue Xiang, 2021. "A Novel Plain-Text Related Image Encryption Algorithm Based on LB Compound Chaotic Map," Mathematics, MDPI, vol. 9(21), pages 1-25, November.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ernesto Moya-Albor & Andrés Romero-Arellano & Jorge Brieva & Sandra L. Gomez-Coronel, 2023. "Color Image Encryption Algorithm Based on a Chaotic Model Using the Modular Discrete Derivative and Langton’s Ant," Mathematics, MDPI, vol. 11(10), pages 1-35, May.
    2. Xiaoqiang Zhang & Mi Liu & Xiaochang Yang, 2023. "Color Image Encryption Algorithm Based on Cross-Spiral Transformation and Zone Diffusion," Mathematics, MDPI, vol. 11(14), pages 1-28, July.
    3. Ye, Guodong & Wu, Huishan & Liu, Min & Huang, Xiaoling, 2023. "Reversible image-hiding algorithm based on singular value sampling and compressive sensing," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    4. Mengyao Li & Xianwen Fang & Asimeng Ernest, 2023. "A Color Image Encryption Method Based on Dynamic Selection Chaotic System and Singular Value Decomposition," Mathematics, MDPI, vol. 11(15), pages 1-27, July.
    5. Hemalatha Mahalingam & Padmapriya Velupillai Meikandan & Karuppuswamy Thenmozhi & Kawthar Mostafa Moria & Chandrasekaran Lakshmi & Nithya Chidambaram & Rengarajan Amirtharajan, 2023. "Neural Attractor-Based Adaptive Key Generator with DNA-Coded Security and Privacy Framework for Multimedia Data in Cloud Environments," Mathematics, MDPI, vol. 11(8), pages 1-23, April.
    6. Wu, Xin & Shi, Hang & Ji’e, Musha & Duan, Shukai & Wang, Lidan, 2023. "A novel image compression and encryption scheme based on conservative chaotic system and DNA method," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    7. Ziqi Zhou & Xuemei Xu & Zhaohui Jiang & Kehui Sun, 2023. "Multiple-Image Encryption Scheme Based on an N-Dimensional Chaotic Modular Model and Overlapping Block Permutation–Diffusion Using Newly Defined Operation," Mathematics, MDPI, vol. 11(15), pages 1-27, August.

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