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A new S-box construction method based on the fractional-order chaotic Chen system

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Abstract

Since substitution box (S-box) is the only nonlinear component related to confusion properties for many block encryption algorithms, it is a necessity for the strong block encryption algorithms. S-box is a vital component in cryptography due to having the effect on the security of entire system. Therefore, alternative S-box construction techniques have been proposed in many researches. In this study, a new S-box construction method based on fractional-order (FO) chaotic Chen system is presented. In order to achieve that goal, numerical results of the FO chaotic Chen system for \(a= 35, b=3, c=28\) and \(\alpha =0.9\) are obtained by employing the predictor–corrector scheme. Besides, a simpler algorithm is suggested for the construction of S-box via time response of the FO chaotic Chen system. The performance of suggested S-box design is compared with other S-box designs developed by chaotic systems, and it is observed that this method provides a stronger S-box design.

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Authors and Affiliations

  1. Department of Software Engineering, Faculty of Technology, Firat University, 23119, Elazig, Turkey

    Fatih Özkaynak

  2. Department of Electrical-Electronics Engineering, Faculty of Engineering, Firat University, 23119, Elazig, Turkey

    Vedat Çelik

  3. Department of Computer Engineering, Faculty of Engineering, Firat University, 23119, Elazig, Turkey

    Ahmet Bedri Özer

Authors
  1. Fatih Özkaynak
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  2. Vedat Çelik
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  3. Ahmet Bedri Özer
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Correspondence to Vedat Çelik.

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Özkaynak, F., Çelik, V. & Özer, A.B. A new S-box construction method based on the fractional-order chaotic Chen system. SIViP 11, 659–664 (2017). https://doi.org/10.1007/s11760-016-1007-1

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  • DOI: https://doi.org/10.1007/s11760-016-1007-1

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