Algebraic methods in difference sets and bent functions

  • Priyanka Kumari
  • Pradipkumar H. Keskar Birla Institute of Technology and Science Pilani, Pilani Campus
Keywords: Hilbert functions, $\mathcal{C}$-condition, Flat, Difference set, Bent functions

Abstract

We provide some applications of a polynomial criterion for difference sets. These include counting the difference sets with specified parameters in terms of Hilbert functions, in particular a count of bent functions. We also consider the question about the bentness of certain Boolean functions introduced by Carlet when the $\mathcal{C}$-condition introduced by him doesn't hold.

Author Biography

Pradipkumar H. Keskar, Birla Institute of Technology and Science Pilani, Pilani Campus

Associate Professor

Department of Mathematics

BITS Pilani, Pilani Campus

References

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Published
2021-05-20
Section
Articles