F. Pavese

activity

20152022

most citedNew Cameron-Liebler line classes with parameter

\frac{q ^{2} + 1}{2}

2 citations · 2 across the 4 of their papers we have counts for

collaborators

15 papers

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

A clique-free pseudorandom subgraph of the pseudo polarity graph

Sam Mattheus, Francesco Pavese

We provide a new family of $K_{k}$ -free pseudorandom graphs with edge density $Θ (n^{- 1/ (k - 1)})$ , matching a recent construction due to Bishnoi, Ihringer and Pepe. As in the former re…

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.CO2020

Graphs cospectral with NU $(n + 1, q^{2})$ , $n \neq = 3$

Ferdinand Ihringer, Francesco Pavese, Valentino Smaldore

Let $H (n, q^{2})$ be a non-degenerate Hermitian variety of $P G (n, q^{2})$ , $n \geq 2$ . Let NU $(n + 1, q^{2})$ be the graph whose vertices are the points of $P G (n, q^{2}) ∖ H (n, q^{2})$ …

math.CO2020

On cutting blocking sets and their codes

Daniele Bartoli, Antonio Cossidente, Giuseppe Marino +1

Let PG $(r, q)$ be the $r$ -dimensional projective space over the finite field $GF (q)$ . A set $X$ of points of PG $(r, q)$ is a cutting blocking set if for each hyperplane…

On near-MDS codes and caps

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

A clique-free pseudorandom subgraph of the pseudo polarity graph

On regular systems of finite classical polar spaces

Graphs cospectral with NU(n+1,q2), n=3

On cutting blocking sets and their codes

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

Graphs cospectral with NU $(n + 1, q^{2})$ , $n \neq = 3$