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 …

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 …

Abstract In [2] and [18] are presented the first two families of maximum scattered F q-linear
sets of the projective line PG (1, qn). More recently in [22] and in [5], new examples of …

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 …

Abstract In [10], the existence of F q-linear MRD-codes of F q 6× 6, with dimension 12,
minimum distance 5 and left idealiser isomorphic to F q 6, defined by a trinomial of F q 6 [x] …

We generalize the example of linear set presented by the last two authors in" Vertex
properties of maximum scattered linear sets of $\mathrm {PG}(1, q^ n) $"(2019) to a more …

In recent years, several families of scattered polynomials have been investigated in the
literature. However, most of them only exist in odd characteristic. In [9],[24], the authors …

A class of scattered linearized polynomials covering infinitely many field extensions is
exhibited. More precisely, the q-polynomial over F _ q^ 6 F q 6, q ≡ 1\pmod 4 q≡ 1 (mod 4) …

Left and right idealizers are important invariants of linear rank-distance codes. In the case of
maximum rank-distance (MRD for short) codes in F qn× n the idealizers have been proved to …

In this paper we investigate the geometric properties of the configuration consisting of a
subspace Γ and a canonical subgeometry Σ in PG (n− 1, qn), with Γ∩ Σ= 0̸. The idea …