A method for constructing dynamic S-boxes based on fractional transformation
8 viewsDOI:
https://doi.org/10.54939/1859-1043.j.mst.100.2024.113-119Keywords:
S-box; Fractional transformation; Nonlinearity; Differential probability; Linear probability; Dynamic S-box.Abstract
This article describes the method for constructing a dynamic S-box based on fractional transformation on a finite field. The article shows the conditions of S-box, such as S-box is bijective. After that, the article describes S-box properties: nonlinearity, linear approximation probability, differential approximation probability, and algebraic degree. The paper proves that some important cryptographic properties of S-box based on fractional transformation are independent of coefficients a,b,c, d. Based on this, we propose an encryption algorithm with a dynamic S-box.
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