5 citations · 10 across the 9 of their papers we have counts for
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General constructions of normal bent partitions related to vectorial dual-bent functions
Alexander Kholosha, Mohit Pal
Bent partitions were introduced as a generalization of partial spread construction of bent functions and they became a hot research topic recently. In this paper, we prove two gene…
Niho Bent Functions and Subiaco/Adelaide Hyperovals
Tor Helleseth, Alexander Kholosha, Sihem Mesnager
In this paper, the relation between binomial Niho bent functions discovered by Dobbertin et al. and o-polynomials that give rise to the Subiaco and Adelaide classes of hyperovals i…
Proofs of two conjectures on ternary weakly regular bent functions
Tor Helleseth, Henk D. L. Hollmann, Alexander Kholosha +2
We study ternary monomial functions of the form $f(x)=\Tr_n(ax^d)$, where $x\in \Ff_{3^n}$ and $\Tr_n: \Ff_{3^n}\to \Ff_3$ is the absolute trace function. Using a lemma of Hou \cit…