F. Pavese

activity

20142025

most citedCombining subspace codes

41 citations · 45 across the 24 of their papers we have counts for

collaborators

Showing 2021Show all

5 papers · 1 filter

math.CO2021

A modular equality for $m$ -ovoids of elliptic quadrics

Alexander L. Gavrilyuk, Klaus Metsch, Francesco Pavese

An $m$ -ovoid of a finite polar space $P$ is a set $O$ of points such that every maximal subspace of $P$ contains exactly $m$ points of $O$ .…

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…

A modular equality for m-ovoids of elliptic quadrics

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

A modular equality for $m$ -ovoids of elliptic quadrics

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