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A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis

Author

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  • 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, Menofia 32511, Egypt)

  • Janarthanan Ramadoss

    (Centre for Artificial Intelligence, Chennai Institute of Technology, Chennai 600069, India)

  • Bassem Abd-El-Atty

    (Department of Computer Science, Faculty of Computers and Information, Luxor University, Luxor 85957, Egypt)

  • Hany S. Khalifa

    (Computer Science Department, Misr Higher Institute of Commerce and Computers, Mansoura 35511, Egypt)

  • Fahimeh Nazarimehr

    (Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran 424, Iran)

Abstract

Data security represents an essential task in the present day, in which chaotic models have an excellent role in designing modern cryptosystems. Here, a novel oscillator with chaotic dynamics is presented and its dynamical properties are investigated. Various properties of the oscillator, like equilibria, bifurcations, and Lyapunov exponents (LEs), are discussed. The designed system has a center point equilibrium and an interesting chaotic attractor. The existence of chaotic dynamics is proved by calculating Lyapunov exponents. The region of attraction for the chaotic attractor is investigated by plotting the basin of attraction. The oscillator has a chaotic attractor in which its basin is entangled with the center point. The complexity of the chaotic dynamic and its entangled basin of attraction make it a proper choice for image encryption. Using the effective properties of the chaotic oscillator, a method to construct pseudo-random numbers (PRNGs) is proposed, then utilizing the generated PRNG sequence for designing secure substitution boxes (S-boxes). Finally, a new image cryptosystem is presented using the proposed PRNG mechanism and the suggested S-box approach. The effectiveness of the suggested mechanisms is evaluated using several assessments, in which the outcomes show the characteristics of the presented mechanisms for reliable cryptographic applications.

Suggested Citation

  • Ahmed A. Abd El-Latif & Janarthanan Ramadoss & Bassem Abd-El-Atty & Hany S. Khalifa & Fahimeh Nazarimehr, 2022. "A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis," Mathematics, MDPI, vol. 10(14), pages 1-22, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2434-:d:861242
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    References listed on IDEAS

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    4. EL-Latif, Ahmed A. Abd & Abd-El-Atty, Bassem & Venegas-Andraca, Salvador E., 2020. "Controlled alternate quantum walk-based pseudo-random number generator and its application to quantum color image encryption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    5. Gu, Shuangquan & He, Shaobo & Wang, Huihai & Du, Baoxiang, 2021. "Analysis of three types of initial offset-boosting behavior for a new fractional-order dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
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    Cited by:

    1. Valery Ochkov & Inna Vasileva & Yulia Chudova & Anton Tikhonov, 2023. "About Oscillations in Nonlinear Systems with Elastic Bonds," Mathematics, MDPI, vol. 11(8), pages 1-13, April.

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