Obtaining algebraic expression of an S-box based on inversion mapping using finite field theory

Sakalli, M. TolgaBulus, ErcanSahin, AndacBueyueksaracoglu, Fatma2024-06-122024-06-122007978-1-4244-0719-4https://hdl.handle.net/20.500.14551/26119IEEE 15th Signal Processing and Communications Applications Conference -- JUN 11-13, 2007 -- Eskisehir, TURKEYRecently 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.trinfo:eu-repo/semantics/closedAccess[No Keywords]Obtaining algebraic expression of an S-box based on inversion mapping using finite field theoryConference Object426429N/AWOS:0002529246001072-s2.0-50249118606N/A