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S-boxes Cryptographic Properties from a Statistical Angle

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Hard and Soft Computing for Artificial Intelligence, Multimedia and Security (ACS 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 534))

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Abstract

A new, strong S-box was required to be designed to be incorporated as the nonlinear element of the PP-2 block cipher designed recently at Poznan University of Technology. This paper presents statistical analysis of the cryptographic criteria characterizing a group of S-boxes generated by inverse mapping with random search elements. Statistical tests used in this research were not pure randomness checks but were related to the most important real cryptographic criteria like nonlinearity, SAC, collision avoidance.

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References

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Author information

Authors and Affiliations

  1. Poznan University of Technology, Poznan, Poland

    Anna Grocholewska-Czuryło

Authors
  1. Anna Grocholewska-Czuryło
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Corresponding author

Correspondence to Anna Grocholewska-Czuryło .

Editor information

Editors and Affiliations

  1. Graduate School of Science and Engineeri, Ehime University Graduate School of Science and Engineeri, Ehime, Japan

    Shin-ya Kobayashi

  2. West Pomeranian University of Technology in Szczecin , Szczecin, Poland

    Andrzej Piegat

  3. West Pomeranian University of Technology in Szczecin , Szczecin, Poland

    Jerzy Pejaś

  4. West Pomeranian University of Technology in Szczecin , Szczecin, Poland

    Imed El Fray

  5. Polish Academy of Sciences, Systems Research Institute Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Grocholewska-Czuryło, A. (2017). S-boxes Cryptographic Properties from a Statistical Angle. In: Kobayashi, Sy., Piegat, A., Pejaś, J., El Fray, I., Kacprzyk, J. (eds) Hard and Soft Computing for Artificial Intelligence, Multimedia and Security. ACS 2016. Advances in Intelligent Systems and Computing, vol 534. Springer, Cham. https://doi.org/10.1007/978-3-319-48429-7_13

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  • DOI: https://doi.org/10.1007/978-3-319-48429-7_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48428-0

  • Online ISBN: 978-3-319-48429-7

  • eBook Packages: EngineeringEngineering (R0)

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