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A method for designing dynamical S-boxes based on discretized chaotic map

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  • Tang, Guoping
  • Liao, Xiaofeng

Abstract

A method for obtaining dynamically cryptographically strong substitution boxes (S-boxes) based on discretized chaotic map is presented in this paper. The cryptographical properties such as bijection, nonlinearity, strict avalanche, output bits independence and equiprobable input/output XOR distribution of these S-boxes are analyzed in detail. The results of numerical analysis show that all the criteria for designing good S-box can be met approximately. As a result, our approach is suitable for practical application in designing block cryptosystem.

Suggested Citation

  • Tang, Guoping & Liao, Xiaofeng, 2005. "A method for designing dynamical S-boxes based on discretized chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1901-1909.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:5:p:1901-1909
    DOI: 10.1016/j.chaos.2004.07.033
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    Citations

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    Cited by:

    1. Yin, Ruming & Yuan, Jian & Wang, Jian & Shan, Xiuming & Wang, Xiqin, 2009. "Designing key-dependent chaotic S-box with larger key space," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2582-2589.
    2. Muhammad Usama & Osama Rehman & Imran Memon & Safdar Rizvi, 2019. "An efficient construction of key-dependent substitution box based on chaotic sine map," International Journal of Distributed Sensor Networks, , vol. 15(12), pages 15501477198, December.
    3. Chen, Guo, 2008. "A novel heuristic method for obtaining S-boxes," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1028-1036.
    4. Yang, Huaqian & Liao, Xiaofeng & Wong, Kwok-wo & Zhang, Wei & Wei, Pengcheng, 2009. "A new block cipher based on chaotic map and group theory," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 50-59.
    5. Mi, Bo & Liao, Xiaofeng & Chen, Yong, 2008. "A novel chaotic encryption scheme based on arithmetic coding," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1523-1531.
    6. Çavuşoğlu, Ünal & Kaçar, Sezgin & Pehlivan, Ihsan & Zengin, Ahmet, 2017. "Secure image encryption algorithm design using a novel chaos based S-Box," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 92-101.
    7. Francisco Gonzalez & Ricardo Soto & Broderick Crawford, 2022. "Stochastic Fractal Search Algorithm Improved with Opposition-Based Learning for Solving the Substitution Box Design Problem," Mathematics, MDPI, vol. 10(13), pages 1-25, June.
    8. Lambić, Dragan, 2014. "A novel method of S-box design based on chaotic map and composition method," Chaos, Solitons & Fractals, Elsevier, vol. 58(C), pages 16-21.
    9. Yang, Huaqian & Liao, Xiaofeng & Wong, Kwok-wo & Zhang, Wei & Wei, Pengcheng, 2009. "A new cryptosystem based on chaotic map and operations algebraic," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2520-2531.
    10. Wei, Jun & Liao, Xiaofeng & Wong, Kwok-wo & Xiang, Tao, 2006. "A new chaotic cryptosystem," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1143-1152.

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