5 papers
A note on large Kakeya sets
Maarten De Boeck, Geertrui Van de Voorde
A Kakeya set in an affine plane of order is the point set covered by a set of pairwise non-parallel lines. Large Kakeya sets were studied by D…
Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces
Jozefien D'haeseleer, Maarten De Boeck
In this article, we study degree one Cameron-Liebler sets of generators in all finite classical polar spaces, which is a particular type of a Cameron-Liebler set of generators in t…
Cameron-Liebler sets of k-spaces in PG(n,q)
Aart Blokhuis, Maarten De Boeck, Jozefien D'haeseleer
Cameron-Liebler sets of k-spaces were introduced recently by Y. Filmus and F. Ihringer. We list several equivalent definitions for these Cameron-Liebler sets, by making a generaliz…
A new lower bound for the size of an affine blocking set
Maarten De Boeck, Geertrui Van de Voorde
A blocking set in an affine plane is a set of points such that every line contains at least one point of . The best known lower bound for blocking sets in arbitrary (non-des…
Elation KM-arcs
Maarten De Boeck, Geertrui Van de Voorde
In this paper, we study KM-arcs in , the Desarguesian projective plane of order . A KM-arc A of type is a natural generalisation of a hyperoval: it is a set of $q…