Algebraic Methods in Difference Sets and Bent Functions

2020/10/17 by Keskar, Pradipkumar H., Kumari, Priyanka
#05B10 #11T71 #13P25 #6E30 #94C10 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.08734

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 C-condition introduced by him doesn't hold.

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