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A New Chaos-Based Image Encryption Algorithm Based on Discrete Fourier Transform and Improved Joseph Traversal

Author

Listed:
  • Mingxu Wang

    (School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China)

  • Xianping Fu

    (School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China)

  • Xiaopeng Yan

    (School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China)

  • Lin Teng

    (School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China)

Abstract

To further enhance the security of image encryption, a new chaos-based image encryption algorithm (IEA) based on discrete Fourier transform and Joseph traversal is proposed to encrypt the plain image in both the frequency domain and space domain simultaneously. In the proposed IEA, the logistic map is used to generate the appropriate chaotic sequence, and the improved Joseph traversal is used to scramble the image in different starting positions and variable step sizes. Then, block diffusion is performed at the end. The main finding concerning the proposed IEA is that the combination of discrete Fourier transform and Joseph traversal can enhance the security of the image information, which has been validated by measuring the performance in resisting the common types of attacks.

Suggested Citation

  • Mingxu Wang & Xianping Fu & Xiaopeng Yan & Lin Teng, 2024. "A New Chaos-Based Image Encryption Algorithm Based on Discrete Fourier Transform and Improved Joseph Traversal," Mathematics, MDPI, vol. 12(5), pages 1-19, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:5:p:638-:d:1343297
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    References listed on IDEAS

    as
    1. 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.
    2. Hanshuo Qiu & Xiangzi Zhang & Huaixiao Yue & Jizhao Liu, 2023. "A Novel Eighth-Order Hyperchaotic System and Its Application in Image Encryption," Mathematics, MDPI, vol. 11(19), pages 1-29, September.
    3. Xiaoyuan Wang & Xinrui Zhang & Meng Gao & Yuanze Tian & Chunhua Wang & Herbert Ho-Ching Iu, 2023. "A Color Image Encryption Algorithm Based on Hash Table, Hilbert Curve and Hyper-Chaotic Synchronization," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    4. Wang, Mingxu & Wang, Xingyuan & Wang, Chunpeng & Xia, Zhiqiu & Zhao, Hongyu & Gao, Suo & Zhou, Shuang & Yao, Nianmin, 2020. "Spatiotemporal chaos in cross coupled map lattice with dynamic coupling coefficient and its application in bit-level color image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. 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.
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    Cited by:

    1. Yaoqun Xu & Jiaoyang Liu & Zelong You & Tianqi Zhang, 2024. "A Novel Color Image Encryption Algorithm Based on Hybrid Two-Dimensional Hyperchaos and Genetic Recombination," Mathematics, MDPI, vol. 12(22), pages 1-29, November.

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