Algebraic methods in difference sets and bent functions
DOI:
https://doi.org/10.13069/jacodesmath.940192Keywords:
Hilbert functions, $\mathcal{C}$-condition, Flat, Difference set, Bent functionsAbstract
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.
Received: 19 July 2020 | Accepted: 4 March 2021Downloads
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Published
2021-05-20
How to Cite
Kumari, . P. ., & Keskar, P. H. (2021). Algebraic methods in difference sets and bent functions. Journal of Algebra Combinatorics Discrete Structures and Applications, 8(2), 139–149. https://doi.org/10.13069/jacodesmath.940192
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