A linear set view on KM-arcs

M De Boeck, G Van de Voorde - Journal of Algebraic Combinatorics, 2016 - Springer
… of type q / 2 and translation hyperovals from this perspectiveKM-arcs from the point of
view of linear sets and show that the family of Vandendriessche is a family of translation KM-arcs

Elation KM-arcs

M De Boeck, G Van de Voorde - Combinatorica, 2019 - Springer
… Considering that hyperovals are KM-arcs we will call elation hyperovals also elation KM-arcs
We will call such a set an Fq-linear pencil as the terminology ‘dual of a linear set’ is already …

On KM-arcs in small Desarguesian planes

P Vandendriessche - ELECTRONIC JOURNAL OF …, 2017 - biblio.ugent.be
… In [12], the author observes that all t-secants in his example stem from (affine) linear sets,
and expresses belief that this could hold in general. In the coordinates used in Section 2, that …

Polar coordinates view on KM-arcs

K Abdukhalikov, D Ho - Graphs and Combinatorics, 2021 - Springer
KM-arcs can be obtained uniformly on the point set. To demonstrate this point of view, we
provide new characterizations of KM-arcs … We also describe some examples of KM-arcs in this …

[HTML][HTML] Cones from maximum h-scattered linear sets and a stability result for cylinders from hyperovals

S Adriaensen, J Mannaert, P Santonastaso, F Zullo - Discrete Mathematics, 2023 - Elsevier
linear sets, h-scattered linear sets, even sets and KM-arcs. In Section 3 we prove some results
on linear sets … regard the size of certain families of linear sets. Section 4 is mainly devoted …

Linear sets on the projective line with complementary weights

V Napolitano, O Polverino, P Santonastaso, F Zullo - Discrete Mathematics, 2022 - Elsevier
Linear sets on the projective line have attracted a lot of attention because of their link with
blocking sets, KM-arcs and rank-metric codes. In this paper, we study linear sets having two …

Electric fields and currents of stable drifting auroral arcs in the evening sector

AT Aikio, T Lakkala, A Kozlovsky… - Journal of Geophysical …, 2002 - Wiley Online Library
… The all-sky images were digitized every 20 s or 1 min (Table 1) and each frame of view was
… The arc location is calculated every 20 s (in one case 60 s) and we used linear interpolation …

Cones from maximum -scattered linear sets and a stability result

S Adriaensen, J Mannaert, P Santonastaso… - arXiv preprint arXiv …, 2022 - arxiv.org
linear sets, h-scattered linear sets, even sets and KM-arcs. In Section 3 we prove some results
on linear sets … regard the size of certain families of linear sets. Section 4 is mainly devoted …

Generalizing Korchmáros—Mazzocca Arcs

B Csajbók, Z Weiner - Combinatorica, 2021 - Springer
… In this paper, we generalize the concept of KM-arcs. We give … of c linear sets is ac mod p
intersecting point set or multiset … may assume that A contains three points in general position. …

Two pointsets in and the associated codes

V Napolitano, O Polverino, P Santonastaso… - arXiv preprint arXiv …, 2021 - arxiv.org
linear blocking set of Rédei type, the second one extends the construction of translation
KM-arcs… to the weight distribution of the considered linear set L. We then consider the Hamming …