On the Number of Affine Equivalence Classes of Vectorial Boolean Functions and <i>q</i>-Ary Functions

DOI Web Site 参考文献16件
  • LU Shihao
    Mathematics and Science College of Shanghai Normal University
  • KAN Haibin
    Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University Shanghai Engineering Research Center of Blockchain Yiwu Research Institute of Fudan University
  • PENG Jie
    Mathematics and Science College of Shanghai Normal University
  • SHI Chenmiao
    Mathematics and Science College of Shanghai Normal University

抄録

<p>Vectorial Boolean functions play an important role in cryptography, sequences and coding theory. Both affine equivalence and EA-equivalence are well known equivalence relations between vectorial Boolean functions. In this paper, we give an exact formula for the number of affine equivalence classes, and an asymptotic formula for the number of EA-equivalence classes of vectorial Boolean functions.</p>

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