LIU Fuyun, DONG Qingkuan, XIAO Guozhen. Probabilistic Analysis Methods of S-Boxes and Their Applications[J]. Chinese Journal of Electronics, 2009, 18(3): 504-508.
Citation: LIU Fuyun, DONG Qingkuan, XIAO Guozhen. Probabilistic Analysis Methods of S-Boxes and Their Applications[J]. Chinese Journal of Electronics, 2009, 18(3): 504-508.

Probabilistic Analysis Methods of S-Boxes and Their Applications

  • Received Date: 2007-12-01
  • Rev Recd Date: 2009-03-01
  • Publish Date: 2009-08-25
  • The relations between cryptographic properties of S-boxand its component functions are researched in this paper. First, theconcepts of independence and probability product function ofS-box are introduced, the inversion formula and its fast transformationof output probability between an S-box and the linear combination of itscomponent functions are presented, which are very useful tools inanalyzing cryptographic properties of S-boxes. Then, the necessary andsufficient conditions of S-boxes with balancedness or correlationimmunity are investigated. Finally, the necessary and sufficientconditions of independence of S-boxes are given and proved.
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