Algebraic methods in difference sets and bent functions
Algebraic methods in difference sets and bent functions
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.
Keywords:
Hilbert functions, $\mathcal{C}$-condition, Flat, Difference set, Bent functions, Hilbert functions, $\mathcal{C}$-condition, Flat Difference set, Bent functions,
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- Başlangıç: 2015
- Yayıncı: İrfan ŞİAP
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