3 citations · 4 across the 7 of their papers we have counts for
6 papers · 1 filter
A geometric approach to generalized covering radii of linear codes
Gianira N. Alfarano, Giuseppe Marino, Alessandro Neri +1
Covering problems in coding theory are closely related to finite geometry through the interpretation of the columns of parity-check matrices as point sets in finite vector spaces.…
Segre Varieties and Desarguesian Spreads
Antonio Cossidente, Giuseppe Marino, Francesco Pavese +2
Let denote the -dimensional projective space over . We investigate the intersection of two Desarguesian -spreads of $\mathrm{PG}(kh…
A lower bound on the minimum weight of some geometric codes
Bence Csajbók, Giovanni Longobardi, Giuseppe Marino +1
The -ary code associated with the incidence structure of points and -spaces in a projective space , where , is the -subspace generated…
Scattered trinomials of in even characteristic
Daniele Bartoli, Giovanni Longobardi, Giuseppe Marino +1
In recent years, several families of scattered polynomials have been investigated in the literature. However, most of them only exist in odd characteristic. In [B. Csajbók, G. Mari…
On the maximum field of linearity of linear sets
Bence Csajbók, Giuseppe Marino, Valentina Pepe
Let denote an -dimensional -vector space. For an -dimensional -subspace of assume that $\dim_q \left(\langle {\bf v}\rangle_{\math…
Maximum scattered linear sets of pseudoregulus type and the Segre Variety
G. Lunardon, G. Marino, O. Polverino +1
In this paper we study a family of scattered $\F_q$--linear sets of rank of the projective space (, ), called of {\it pseudoregulus type}, ge…