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Obtaining Algebraic expression of an S-box Based on Inversion Mapping Using Finite Field Theory

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4 Author(s)
Sakalli, M.T. ; Muhendislik ve Mimarlik Fak., Trakya Univ., Edirne, Turkey ; Bulus, E. ; Sahin, A. ; Buyuksaraqoglu, F.

Recently proposed block ciphers like AES, Square, Shark use S-boxes that are based on inversion mapping over a Unite field F = CF(p"). 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.

Published in:

Signal Processing and Communications Applications, 2007. SIU 2007. IEEE 15th

Date of Conference:

11-13 June 2007