Paper 2015/093

Generalization of Statistical Criteria for Sboxes

S. M. Dehnavi, A. Mahmoodi Rishakani, M. R. Mirzaee Shamsabad, and Einollah Pasha


Linear and differential cryptanalysis and their generalizations are the most important tools in ststistical analysis of symmetric ciphers. These attacks make use of linear and differential properties of Sboxes and component functions of symmetric ciphers. In this article, we investigate generalized statistical properties for Sboxes. We justify the application of linear, differential and differential-linear cryptanalysis from the mathematical viewpoint. We verify some well-known Sboxes and vectotial Boolean functions by the proposed criteria and show that these functions have larger biases compared with previous criteria presentesd up to now.

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Preprint. MINOR revision.
Linear CrytptanaslysisDifferential CryptanalysisDifferential-Linear CryptanalysisNonlinear Cryptanalysis
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std_dehnavism @ khu ac ir
2015-12-02: last of 4 revisions
2015-02-23: received
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      author = {S.  M.  Dehnavi and A.  Mahmoodi Rishakani and M.  R.  Mirzaee Shamsabad and Einollah Pasha},
      title = {Generalization of Statistical Criteria for Sboxes},
      howpublished = {Cryptology ePrint Archive, Paper 2015/093},
      year = {2015},
      note = {\url{}},
      url = {}
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