DocumentCode
3625858
Title
Obtaining Algebraic expression of an S-box Based on Inversion Mapping Using Finite Field Theory
Author
M. Tolga Sakalli;Ercan Bulus;Andac Sahin;Fatma Buyuksaracoglu
Author_Institution
M?hendislik ve Mimarlik Fak?ltesi Bilgisayar M?hendisli?i B?l?m?, Trakya ?niversitesi, Edirne. tolga@trakya.edu.tr
fYear
2007
fDate
6/1/2007 12:00:00 AM
Firstpage
1
Lastpage
4
Abstract
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.
Keywords
"Galois fields","Linear approximation","Lagrangian functions","Cryptography"
Publisher
ieee
Conference_Titel
Signal Processing and Communications Applications, 2007. SIU 2007. IEEE 15th
ISSN
2165-0608
Print_ISBN
1-4244-0719-2
Type
conf
DOI
10.1109/SIU.2007.4298573
Filename
4298573
Link To Document