IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i7p1589-d1107036.html
   My bibliography  Save this article

Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing

Author

Listed:
  • Achraf Daoui

    (National School of Applied Sciences, Sidi Mohamed Ben Abdellah-Fez University, Fez 30000, Morocco)

  • Mohamed Yamni

    (Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah-Fez University, Fez 30000, Morocco)

  • Samia Allaoua Chelloug

    (Department of Information Technology, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia)

  • Mudasir Ahmad Wani

    (EIAS Data Science Lab, College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Ahmed A. Abd El-Latif

    (EIAS Data Science Lab, College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El Koom 32511, Egypt)

Abstract

In order to ensure reliable and secure image exchange, chaotic systems are often considered for their good performance in information security. In this work, we first propose an extended version of a chaotic tent map (TM)—the multiparametric 1D tent map (MTM). The latter contains six control parameters defined over an unlimited range. These parameters strongly influence the MTM output when they are slightly modified by ∓ 10 − 13 , which makes MTM stronger than the existing TM and other 1D chaotic maps in terms of security key space. Then, this paper proposes a simple, yet powerful method to make uniform the distribution of chaotic sequence values, making the latter suitable for use in cryptosystems. Next, a new image cryptosystem is introduced based on MTM and parallel computing. This computing mode is incorporated to boost the security level of our scheme and to speed up its runtime. Indeed, in only one running round, our encryption scheme generates a security key of space equal to 10 78 × n with n indicating the number of the available CPU cores. Therefore, the suggested scheme achieves a good trade-off between safety and efficiency. The results of the performed comparisons and numerical experiments indicate on the one hand that MTM exhibits good chaotic characteristics in comparison to its original version. On the other hand, the suggested cryptosystem demonstrates good strength against various kinds of attacks (brute force, statistical, classical, noise, differential, etc.). Furthermore, comparison with similar schemes indicate that the proposed scheme is competitive in terms of execution time and superior in terms of security level.

Suggested Citation

  • Achraf Daoui & Mohamed Yamni & Samia Allaoua Chelloug & Mudasir Ahmad Wani & Ahmed A. Abd El-Latif, 2023. "Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing," Mathematics, MDPI, vol. 11(7), pages 1-29, March.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1589-:d:1107036
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/7/1589/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/7/1589/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bassem Abd-El-Atty & Abdullah M. Iliyasu & Ahmed A. Abd El-Latif & Leo Y. Zhang, 2021. "A Multi-Image Cryptosystem Using Quantum Walks and Chebyshev Map," Complexity, Hindawi, vol. 2021, pages 1-16, October.
    2. 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.
    3. Song, Xian-Hua & Wang, Hui-Qiang & Venegas-Andraca, Salvador E. & Abd El-Latif, Ahmed A., 2020. "Quantum video encryption based on qubit-planes controlled-XOR operations and improved logistic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Achraf Daoui & Haokun Mao & Mohamed Yamni & Qiong Li & Osama Alfarraj & Ahmed A. Abd El-Latif, 2023. "Novel Integer Shmaliy Transform and New Multiparametric Piecewise Linear Chaotic Map for Joint Lossless Compression and Encryption of Medical Images in IoMTs," Mathematics, MDPI, vol. 11(16), pages 1-28, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Achraf Daoui & Haokun Mao & Mohamed Yamni & Qiong Li & Osama Alfarraj & Ahmed A. Abd El-Latif, 2023. "Novel Integer Shmaliy Transform and New Multiparametric Piecewise Linear Chaotic Map for Joint Lossless Compression and Encryption of Medical Images in IoMTs," Mathematics, MDPI, vol. 11(16), pages 1-28, August.
    2. Bowen Zhang & Lingfeng Liu, 2023. "Chaos-Based Image Encryption: Review, Application, and Challenges," Mathematics, MDPI, vol. 11(11), pages 1-39, June.
    3. Erendira Corona-Bermúdez & Juan Carlos Chimal-Eguía & Uriel Corona-Bermúdez & Mario Eduardo Rivero-Ángeles, 2023. "Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor," Mathematics, MDPI, vol. 11(22), pages 1-16, November.
    4. Gao, Suo & Iu, Herbert Ho-Ching & Mou, Jun & Erkan, Uğur & Liu, Jiafeng & Wu, Rui & Tang, Xianglong, 2024. "Temporal action segmentation for video encryption," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    5. Chen, Jinbao & Liu, Shaohua & Wang, Yunhe & Hu, Wenqing & Zou, Yidong & Zheng, Yang & Xiao, Zhihuai, 2024. "Generalized predictive control application scheme for nonlinear hydro-turbine regulation system: Based on a precise novel control structure," Energy, Elsevier, vol. 296(C).
    6. Dai, Junfeng & Fu, Li-hui, 2024. "A wind speed forecasting model using nonlinear auto-regressive model optimized by the hybrid chaos-cloud salp swarm algorithm," Energy, Elsevier, vol. 298(C).
    7. 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.
    8. Ebrahim Zareimani & Reza Parvaz, 2024. "Secure Multiple-Image Transfer by Hybrid Chaos System: Encryption and Visually Meaningful Images," Mathematics, MDPI, vol. 12(8), pages 1-24, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1589-:d:1107036. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.