On the algebraic expression of the AES S-box like S-boxes

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Tarih

2010

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Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In the literature, there are several proposed block ciphers like AES, 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. © 2010 Springer-Verlag.

Açıklama

Springer
2nd International Conference on 'Networked Digital Technologies', NDT 2010 -- 7 July 2010 through 9 July 2010 -- Prague -- 81400

Anahtar Kelimeler

Algebraic Expression, Finite Fields, Power Mappings, S-boxes, Affine transformations, Algebraic expression, Algebraic structures, Block ciphers, Finite field theory, Finite fields, Power Mappings, S-boxes, Cryptography, Finite element method, Mapping, Algebra

Kaynak

Communications in Computer and Information Science

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

87 CCIS

Sayı

PART 1

Künye