Sakalli, M. TolgaAslan, BoraBulus, ErcanMesut, Andac SahinBuyuksaracoglu, FatmaKaraahmetoglu, Osman2024-06-122024-06-122010978-3-642-14291-81865-09291865-0937https://hdl.handle.net/20.500.14551/237252nd International Conference on Networked Digital Technologies -- JUL 07-09, 2010 -- Charles Univ, Prague, CZECH REPUBLICIn the literature, there are several proposed block ciphers like ADS, Square, Shark and Hierocrypt which use S-boxes that are based on inversion mapping over a finite field. 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 some ciphers like Camellia, an additional affine transformation is used before the input of the S-box as well. In this paper, we study algebraic expressions of S-boxes based on power mappings with the aid of finite field theory and show that the number of terms in the algebraic expression of an S-box based on power mappings changes according to the place an affine transformation is added. Moreover, a new method is presented to resolve the algebraic expression of the AES S-box like S-boxes according to the given three probable cases.eninfo:eu-repo/semantics/closedAccessS-BoxesPower MappingsAlgebraic ExpressionFinite FieldsConference Object87213+N/AWOS:0002894527000232-s2.0-77955750133Q4