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A novel method of S-box design based on chaotic map and composition method

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  • Lambić, Dragan

Abstract

An efficient algorithm for obtaining random bijective S-boxes based on chaotic maps and composition method is presented. The proposed method is based on compositions of S-boxes from a fixed starting set. The sequence of the indices of starting S-boxes used is obtained by using chaotic maps. The results of performance test show that the S-box presented in this paper has good cryptographic properties. The advantages of the proposed method are the low complexity and the possibility to achieve large key space.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:58:y:2014:i:c:p:16-21
    DOI: 10.1016/j.chaos.2013.11.001
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    References listed on IDEAS

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    1. 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.
    2. Chen, Guo & Chen, Yong & Liao, Xiaofeng, 2007. "An extended method for obtaining S-boxes based on three-dimensional chaotic Baker maps," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 571-579.
    3. 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.
    4. Chen, Guo, 2008. "A novel heuristic method for obtaining S-boxes," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1028-1036.
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    Cited by:

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    2. Amal S. Alali & Rashad Ali & Muhammad Kamran Jamil & Javed Ali & Gulraiz, 2024. "Dynamic S-Box Construction Using Mordell Elliptic Curves over Galois Field and Its Applications in Image Encryption," Mathematics, MDPI, vol. 12(4), pages 1-15, February.
    3. 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.

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