We introduce a family of linear sets of PG (1, q 2 n) arising from maximum scattered linear
sets of pseudoregulus type of PG (3, qn). For n= 3, 4 and for certain values of the parameters …

Based on the simple and well understood concept of subfields in a finite field, the technique
called 'field reduction'has proved to be a very useful and powerful tool in finite geometry. In …

The rank of a scattered\mathbb F _q F q-linear set of PG (r-1, q^ n) PG (r-1, qn), rn even, is at
most rn/2 as it was proved by Blokhuis and Lavrauw. Existence results and explicit …

The aim of this paper is to survey on the known results on maximum scattered linear sets
and MRD-codes. In particular, we investigate the link between these two areas. In" A new …

Explicit constructions of infinite families of scattered F q-linear sets in PG (r-1, qt) of maximal
rank rt/2, for t≥ 4 even, are provided. When q= 2, these linear sets correspond to complete …

In this paper we study a family of scattered F_q-linear sets of rank tn of the projective space
PG (2 n− 1, qt)(n≥ 1, t≥ 3), called of pseudoregulus type, generalizing results contained in …

Let L be a linear set of pseudoregulus type in a line ℓ ℓ in\varSigma^*= PG (t-1, q^ t) Σ∗= PG
(t-1, qt), t= 5 t= 5 or t> 6 t> 6. We provide examples of q-order canonical subgeometries …

Guruswami and Xing introduced subspace designs in 2013 to give the first construction of
positive rate rank metric codes list-decodable beyond half the distance. In this paper we …

In this paper we construct infinite families of non-linear maximum rank distance codes by
using the setting of bilinear forms of a finite vector space. We also give a geometric …

Given a set Ω and a set S of subsets of Ω, a subset U⊂ Ω is called scattered with respect to
S if U intersects each element of S in at most one element of Ω. In the context of Galois …