Journal ArticleDOI
Short description of the Lunelli–Sce hyperoval and its automorphism group
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This article is published in Journal of Geometry.The article was published on 2019-12-01. It has received 7 citations till now.read more
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Equivalence classes of Niho bent functions
TL;DR: Equivalence classes of Niho bent functions are described for all known types of hyperovals.
Journal ArticleDOI
Equivalence classes of Niho bent functions
TL;DR: In this article, the equivalence classes of Niho bent functions in one-to-one correspondence with ovals in a projective plane were investigated. But the number of classes of the corresponding Ovals was not shown to increase exponentially as the dimension of the underlying vector space grows.
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Vandermonde sets and hyperovals
Kanat Abdukhalikov,Duy Ho +1 more
TL;DR: In this article, the authors consider the relationship between Vandermonde sets and hyperovals, and give necessary and sufficient conditions for the existence of hypervals in terms of $g$-functions.
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Polar coordinates view on KM-arcs
Kanat Abdukhalikov,Duy Ho +1 more
TL;DR: New characterizations on the points set of KM-arcs are obtained in terms of power sums and bilinear forms in this presentation.
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Vandermonde sets, hyperovals and Niho bent functions
Kanat Abdukhalikov,Duy Ho +1 more
TL;DR: In this paper, the authors consider the relationship between Vandermonde sets and hyperovals, and give necessary and sufficient conditions for the existence of hypervals in terms of Niho bent functions.
References
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Journal ArticleDOI
The MAGMA algebra system I: the user language
TL;DR: MAGMA as mentioned in this paper is a new system for computational algebra, and the MAGMA language can be used to construct constructors for structures, maps, and sets, as well as sets themselves.
Journal ArticleDOI
Flocks and ovals
TL;DR: An infinite family of q-clans for q = 2e was constructed in this article, called Subiaco q-Clans, which is equivalent to a certain configuration of q+1 ovals of PG(2, q), called a herd.
Book ChapterDOI
Hyperovals in Desarguesian Planes of Even Order
TL;DR: A survey of known hyperovals of the title of the Desarguesian plane of order 32 can be found in this article, where a number of open problems are posed.
Journal ArticleDOI
Ovals in the Desarguesian plane of order 16
TL;DR: In this paper, all ovals in the Desarguesian plane of order 16 are determined up to equivalence under the collineation group of the plane, and there are exactly two classes of ovals.