This work investigates the structure of rank-metric codes in connection with concepts from
finite geometry, most notably the q-analogues of projective systems and blocking sets. We …

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 …

In this paper linear sets of finite projective spaces are studied and the “dual” of a linear set is
introduced. Also, some applications of the theory of linear sets are investigated: blocking …

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 …

A scattered subspace of PG (n-1, q) with respect to a (t-1)-spread S is a subspace
intersecting every spread element in at most a point. Upper and lower bounds for the …

After a seminal paper by Shekeey (Adv Math Commun 10 (3): 475-488, 2016), a connection
between maximum h-scattered F q-subspaces of V (r, qn) and maximum rank distance …

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 …

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 …

Several types of functions over finite fields have relevant applications in applied areas of
mathematics, such as cryptography and coding theory. Among them, planar functions, APN …