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논문검색

New Construction of Even-variable Rotation Symmetric Boolean Functions with Optimum Algebraic Immunity

원문정보

Yindong Chen, Hongyan Xiang, Ya-nan Zhang

보안공학연구지원센터(IJSIA) International Journal of Security and Its Applications Vol.8 No.1 2014.01 pp.307-318
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초록

영어

The rotation symmetric Boolean functions which are invariant under the action of cyclic group have been used as components of different cryptosystems. In order to resist algebraic attacks, Boolean functions should have high algebraic immunity. This paper studies the construction of even-variable rotation symmetric Boolean functions with optimum algebraic immunity. We construct ( n/4 - 3) different rotation symmetric Boolean functions which achieve both optimum algebraic immunity and high nonlinearity when an even (n ≥ 16) is given.

목차

Abstract
 1. Introduction
 2. Preliminaries
 3. New construction class of even-variable RSBFs with maximum AI
  3.1. Construction
  3.2. The AI of  f(x) in Construction(h) (h ∈ H)
 4. Nonlinearity
 5. Conclusion
 Acknowledgements
 References

키워드

저자정보

  • Yindong Chen College of Engineering, Shantou University, Shantou, 515063 China
  • Hongyan Xiang College of Engineering, Shantou University, Shantou, 515063 China
  • Ya-nan Zhang College of Engineering, Shantou University, Shantou, 515063 China

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자료제공 : 네이버학술정보

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