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Efficient method for designing chaotic S-boxes based on generalized Baker’s map and TDERC chaotic sequence

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Abstract

The theory of chaos is applied to the construction of substitution boxes used in encryption applications. The synthesis process of the proposed substitution boxes is presented, which is based on chaotic Baker’s map and TDERC chaotic sequences. The objectives of the new substitution box are to provide enhanced resistance against differential and linear cryptanalysis. The constructed substitution boxes uses Galois field elements and relies on discrete chaotic maps while keeping differential and linear approximation probabilities to desired levels.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Iqtadar Hussain & Tariq Shah

  2. National University of Computer and Emerging Sciences, Islamabad, Pakistan

    Muhammad Asif Gondal

  3. Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan

    Hasan Mahmood

Authors
  1. Iqtadar Hussain
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  2. Tariq Shah
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  3. Muhammad Asif Gondal
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  4. Hasan Mahmood
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Correspondence to Iqtadar Hussain.

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Hussain, I., Shah, T., Gondal, M.A. et al. Efficient method for designing chaotic S-boxes based on generalized Baker’s map and TDERC chaotic sequence. Nonlinear Dyn 74, 271–275 (2013). https://doi.org/10.1007/s11071-013-0963-z

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  • DOI: https://doi.org/10.1007/s11071-013-0963-z

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