G. Marino

activity

20062023

most citedA characterization of linearized polynomials with maximum kernel

41 citations · 167 across the 23 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CO2021

On near-MDS codes and caps

Michela Ceria, Antonio Cossidente, Giuseppe Marino +1

Several classes of near-MDS codes of $PG (3, q)$ are described. They are obtained either by considering the intersection of an elliptic quadric ovoid and a Suzuki-Tits ovoid of…

math.CO2021

Small complete caps in $PG (4 n + 1, q)$

Antonio Cossidente, Bence Csajbók, Giuseppe Marino +1

In this paper we prove the existence of a complete cap of $PG (4 n + 1, q)$ of size $2 (q^{2 n + 1} - 1) / (q - 1)$ , for each prime power $q > 2$ . It is obtained by projecting two disjoint V…

math.CO2021

On regular systems of finite classical polar spaces

Antonio Cossidente, Giuseppe Marino, Francesco Pavese +1

Let $P$ be a finite classical polar space of rank $d$ . An $m$ -regular system with respect to $(k - 1)$ -dimensional projective spaces of $P$ , $1 \leq k \leq d - 1$ , is a set…

math.CO2021

A large family of maximum scattered linear sets of $PG (1, q^{n})$ and their associated MRD codes

Giovanni Longobardi, Giuseppe Marino, Rocco Trombetti +1

The concept of linear set in projective spaces over finite fields was introduced by Lunardon in 1999 and it plays central roles in the study of blocking sets, semifields, rank-dist…

On near-MDS codes and caps

Small complete caps in PG(4n+1,q)

On regular systems of finite classical polar spaces

A large family of maximum scattered linear sets of PG(1,qn) and their associated MRD codes

Small complete caps in $PG (4 n + 1, q)$

A large family of maximum scattered linear sets of $PG (1, q^{n})$ and their associated MRD codes