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    Obtaining algebraic expression of an S-box based on inversion mapping using finite field theory
    (IEEE, 2007) Sakalli, M. Tolga; Bulus, Ercan; Sahin, Andac; Bueyueksaracoglu, Fatma
    Recently proposed block ciphers like AES, Square, Shark use S-boxes that are based on inversion mapping over a finite field F=GF(p(n)). Because of the simple algebraic structure of S-boxes generated in this way, these ciphers usually use a bitwise affine transformation after the inversion mapping. In this study, we show how we obtain algebraic expression of an S-box based on inversion mapping using finite field theory and trace function combined with theoretical preliminaries related with this theory.