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Highly dispersive substitution box (S-box) design using chaos

Bin Faheem, Zaid ; Ali, Asim ; Khan, Muhamad Asif ; Ul‐Haq, Muhammad Ehatisham ; Ahmad, Waqar

ETRI Journal, 2020, 42(4), , pp.619-632 [Periódico revisado por pares]

한국전자통신연구원

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  • Título:
    Highly dispersive substitution box (S-box) design using chaos
  • Autor: Bin Faheem, Zaid ; Ali, Asim ; Khan, Muhamad Asif ; Ul‐Haq, Muhammad Ehatisham ; Ahmad, Waqar
  • Assuntos: bit independence criterion ; differential approximation probability ; piecewise linear chaotic map ; strict avalanche criterion ; substitution box ; 전자/정보통신공학
  • É parte de: ETRI Journal, 2020, 42(4), , pp.619-632
  • Notas: This work was supported by the Department of Computer Engineering, University of Engineering and Technology Taxila, Pakistan.
    Funding Information
    KISTI1.1003/JNL.JAKO202063758859199
    https://doi.org/10.4218/etrij.2019-0138
  • Descrição: Highly dispersive S‐boxes are desirable in cryptosystems as nonlinear confusion sub‐layers for resisting modern attacks. For a near optimal cryptosystem resistant to modern cryptanalysis, a highly nonlinear and low differential probability (DP) value is required. We propose a method based on a piecewise linear chaotic map (PWLCM) with optimization conditions. Thus, the linear propagation of information in a cryptosystem appearing as a high DP during differential cryptanalysis of an S‐box is minimized. While mapping from the chaotic trajectory to integer domain, a randomness test is performed that justifies the nonlinear behavior of the highly dispersive and nonlinear chaotic S‐box. The proposed scheme is vetted using well‐established cryptographic performance criteria. The proposed S‐box meets the cryptographic performance criteria and further minimizes the differential propagation justified by the low DP value. The suitability of the proposed S‐box is also tested using an image encryption algorithm. Results show that the proposed S‐box as a confusion component entails a high level of security and improves resistance against all known attacks.
  • Editor: 한국전자통신연구원
  • Idioma: Coreano;Inglês

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