Recently, a lower bound was established on the size of linear sets in projective spaces, that
intersect a hyperplane in a canonical subgeometry. There are several constructions showing …

In this paper, we study KM-arcs of type t, ie, point sets of size q+ t q+ t in PG (2, q) PG (2, q)
such that every line contains 0, 2 or t of its points. We use field reduction to give a different …

This paper aims to study linear sets of minimum size in the projective line, that is $\mathbb
{F} _q $-linear sets of rank $ k $ in $\mathrm {PG}(1, q^ n) $ admitting one point of weight …

In this paper we consider two pointsets in $\mathrm {PG}(2, q^ n) $ arising from a linear set $
L $ of rank $ n $ contained in a line of $\mathrm {PG}(2, q^ n) $: the first one is a linear …

We study the existence and the number of k‐dominating independent sets in certain graph
families. While the case namely the case of maximal independent sets—which is originated …

Clubs of rank are well-celebrated objects in finite geometries introduced by Fancsali and
Sziklai in 2006. After the connection with a special type of arc known as a KM-arc, they …

On the spectrum of minimal blocking sets in PG(2,q) Page 1 J. geom. 76 (2003) 256 – 281
0000–2468/03/020256 – 26 © Birkhäuser Verlag, Basel, 2003 DOI 10.1007/s00022-003-1702-2 …

We study the binary dual codes associated with Desarguesian projective planes PG (2, q),
with q= 2h, and their links with (q+ t, t)-arcs of type (0, 2, t), by considering the elements of Fq …

In this paper, we consider point sets of finite Desarguesian planes whose multisets of
intersection numbers with lines are the same for all but one exceptional parallel class of …

This paper aims to study linear sets of minimum size on the projective line, that is F q-linear
sets of rank k in PG (1, qn) admitting one point of weight one and having size qk− 1+ 1 …