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Classifying 8-Bit to 8-Bit S-Boxes Based on Power Mappings from the Point of DDT and LAT Distributions

  • Bora Aslan
  • M. Tolga Sakalli
  • Ercan Bulus
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5130)

Abstract

S-boxes are vital elements in the design of symmetric ciphers. To date, the techniques for the construction of S-boxes have included pseudo-random generation, finite field inversion, power mappings and heuristic techniques. From these techniques, the use of finite field inversion in the construction of an S-box is so popular because it presents good cryptographic properties. On the other hand, while S-boxes such as AES, Shark, Square and Hierocrypt that are based on inversion mapping over GF(2 n ) use an affine transformation after the output of the S-box, in some ciphers like Camellia, an additional affine transformation is used before the input. In this paper, we classify 8-bit to 8-bit S-boxes based on power mappings into classes according to DDT and LAT distributions. Moreover, a formula is given for the calculation of the number of terms in the algebraic expression for a power mapping based S-box according to the given three probable cases.

Keywords

S-boxes Power Mappings Classification DDT LAT 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Bora Aslan
    • 1
    • 2
    • 3
  • M. Tolga Sakalli
    • 1
    • 2
    • 3
  • Ercan Bulus
    • 1
    • 2
    • 3
  1. 1.Computer Tech. and Programming Dept.Kirklareli UniversityLuleburgaz-KirklareliTurkey
  2. 2.Computer Engineering Dept.Trakya UniversityEdirneTurkey
  3. 3.Computer Engineering Dept.Namik Kemal UniversityCorlu-TekirdagTurkey

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