The equivalence problem of F q-linear sets of rank n of PG (1, qn) is investigated, also in
terms of the associated variety, projecting configurations, F q-linear blocking sets of Rédei …

In this paper we investigate connections between linear sets and subspaces of linear maps.
We give a geometric interpretation of the results of Sheekey (Adv Math Commun 10: 475 …

We provide a geometric characterization of k-dimensional F q m-linear sum-rank metric
codes as tuples of F q-subspaces of F qm k. We then use this characterization to study one …

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 …

Linearized polynomials appear in many different contexts, such as rank metric codes,
cryptography and linear sets, and the main issue regards the characterization of the number …

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 …

This paper mainly focuses on cones whose basis is a maximum h-scattered linear set. We
start by investigating the intersection numbers of such cones with respect to the …

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 …

An F q-linear set of rank k, k≤ h, on a projective line PG (1, qh), containing at least one point
of weight one, has size at least qk− 1+ 1 (see De Beule and Van De Voorde (2019)). The …