Bence Csajbók

On scattered linear sets of pseudoregulus type in PG(1,qt)

Scattered linear sets of pseudoregulus type in PG ( 1 , q t ) have been defined and investigated in 19. The aim of this paper is to continue such an investigation. Properties of a scattered linear set of pseudoregulus type, say L , are proved by means of three different ways to obtain L : (i) as projection of a q-order canonical subgeometry 20, (ii) as a point set whose image under the field reduction map is the hypersurface of degree t in PG ( 2 t - 1 , q ) studied in 10, (iii) as exterior splash, by the correspondence described in 15. In particular, given a canonical subgeometry Σ of PG ( t - 1 , q t ) , necessary and sufficient conditions are given for the projection of Σ with center a ( t - 3 ) -subspace to be a linear set of pseudoregulus type. Furthermore, the q-order sublines are counted and geometrically described.

New maximum scattered linear sets of the projective line

In [2] and [19] are presented the first two families of maximum scattered

Classes and equivalence of linear sets in PG(1, q n )

\mathbb{F}_q

Linear subspaces of finite fields with large inverse-closed subsets

-linear sets of the projective line

Maximum scattered Fq-linear sets of PG(1,q4)

\mathrm{PG}(1,q^n)

On bisecants of Redei type blocking sets and applications

. More recently in [23] and in [5], new examples of maximum scattered

Semiarcs with long secants

\mathbb{F}_q

Puncturing maximum rank distance codes

-subspaces of

On Segre's Lemma of Tangents

V(2,q^n)

On the equivalence of linear sets

have been constructed, but the equivalence problem of the corresponding linear sets is left open. Here we show that the