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Design of secure S-Boxes via novel 2D-Zettle chaotic map and ABC algorithm for robust image encryption

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  • Ustun, Deniz
  • Sahinkaya, Serap

Abstract

This work addresses the challenge of improving security in chaos-based cryptographic systems by introducing a more effective chaotic map that is derived from the Zettle test function, providing better resistance to attacks and ensuring higher security. The design of secure S-Boxes for the R, G, and B colour channels is a critical challenge in colour image encryption. The proposed method addresses this challenge by significantly enhancing security through the use of the ABC algorithm in conjunction with the novel 2D-Zettle chaotic map. Additionally, the proposed image encryption technique addresses the problem of optimizing key selection for both encryption and decryption, ensuring robust security against various attacks and noise, as demonstrated by extensive performance evaluations. Furthermore, security assessments, including statistical analyses and resilience tests against various attacks and noise, confirm the method’s exceptional efficiency and broad applicability in safeguarding digital assets.

Suggested Citation

  • Ustun, Deniz & Sahinkaya, Serap, 2025. "Design of secure S-Boxes via novel 2D-Zettle chaotic map and ABC algorithm for robust image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 235(C), pages 175-204.
    • Handle: RePEc:eee:matcom:v:235:y:2025:i:c:p:175-204
    DOI: 10.1016/j.matcom.2025.03.019
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    References listed on IDEAS

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    1. Mishra, Sudhanshu, 2006. "Some new test functions for global optimization and performance of repulsive particle swarm method," MPRA Paper 2718, University Library of Munich, Germany.
    2. Liu, Hongjun & Kadir, Abdurahman & Xu, Chengbo, 2020. "Cryptanalysis and constructing S-Box based on chaotic map and backtracking," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    3. Deniz Ustun & Feyza Toktas, 2021. "Surrogate-based computational analysis and design for H-shaped microstrip antenna," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 35(1), pages 71-82, January.
    4. Toktas, Abdurrahim & Erkan, Uğur & Gao, Suo & Pak, Chanil, 2024. "A robust bit-level image encryption based on Bessel map," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    5. Bezerra, João Inácio Moreira & Machado, Gustavo & Molter, Alexandre & Soares, Rafael Iankowski & Camargo, Vinícius, 2023. "A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    6. Castro, Julio Cesar Hernandez & Sierra, José María & Seznec, Andre & Izquierdo, Antonio & Ribagorda, Arturo, 2005. "The strict avalanche criterion randomness test," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(1), pages 1-7.
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