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A novel image encryption algorithm based on the chaotic system and DNA computing

Author

Listed:
  • Xiuli Chai

    (School of Computer and Information Engineering, Institute of Image Processing and Pattern Recognition, Henan University, Kaifeng 475004, P. R. China)

  • Zhihua Gan

    (School of Software, Henan University, Kaifeng 475004, P. R. China)

  • Yang Lu

    (Research Department, Henan University, Kaifeng 475004, P. R. China)

  • Yiran Chen

    (Department of Electrical and Computer Engineering, Duke University, Durham, NC 27708, USA)

  • Daojun Han

    (School of Computer and Information Engineering, Henan University, Kaifeng 475004, P. R. China)

Abstract

A novel image encryption algorithm using the chaotic system and deoxyribonucleic acid (DNA) computing is presented. Different from the traditional encryption methods, the permutation and diffusion of our method are manipulated on the 3D DNA matrix. Firstly, a 3D DNA matrix is obtained through bit plane splitting, bit plane recombination, DNA encoding of the plain image. Secondly, 3D DNA level permutation based on position sequence group (3DDNALPBPSG) is introduced, and chaotic sequences generated from the chaotic system are employed to permutate the positions of the elements of the 3D DNA matrix. Thirdly, 3D DNA level diffusion (3DDNALD) is given, the confused 3D DNA matrix is split into sub-blocks, and XOR operation by block is manipulated to the sub-DNA matrix and the key DNA matrix from the chaotic system. At last, by decoding the diffused DNA matrix, we get the cipher image. SHA 256 hash of the plain image is employed to calculate the initial values of the chaotic system to avoid chosen plaintext attack. Experimental results and security analyses show that our scheme is secure against several known attacks, and it can effectively protect the security of the images.

Suggested Citation

  • Xiuli Chai & Zhihua Gan & Yang Lu & Yiran Chen & Daojun Han, 2017. "A novel image encryption algorithm based on the chaotic system and DNA computing," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 1-24, May.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:05:n:s0129183117500693
    DOI: 10.1142/S0129183117500693
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    Citations

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    Cited by:

    1. Wang, Xingyuan & Li, Yanpei & Jin, Jie, 2020. "A new one-dimensional chaotic system with applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. 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.
    3. Heping Wen & Zhen Liu & Haowen Lai & Chongfu Zhang & Linhao Liu & Jieyi Yang & Yiting Lin & Yunqi Li & Yunlong Liao & Linchao Ma & Zefeng Chen & Rui Li, 2022. "Secure DNA-Coding Image Optical Communication Using Non-Degenerate Hyperchaos and Dynamic Secret-Key," Mathematics, MDPI, vol. 10(17), pages 1-18, September.
    4. Tabekoueng Njitacke, Zeric & Tsafack, Nestor & Ramakrishnan, Balamurali & Rajagopal, Kartikeyan & Kengne, Jacques & Awrejcewicz, Jan, 2021. "Complex dynamics from heterogeneous coupling and electromagnetic effect on two neurons: Application in images encryption," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    5. 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.
    6. Sun, Yu-jie & Zhang, Hao & Wang, Xing-yuan & Wang, Xiao-qing & Yan, Peng-fei, 2020. "2D Non-adjacent coupled map lattice with q and its applications in image encryption," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    7. Lai, Qiang & Hu, Genwen & Erkan, Uǧur & Toktas, Abdurrahim, 2023. "High-efficiency medical image encryption method based on 2D Logistic-Gaussian hyperchaotic map," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    8. Alghafis, Abdullah & Firdousi, Faiza & Khan, Majid & Batool, Syeda Iram & Amin, Muhammad, 2020. "An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 441-466.

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