R. Trombetti

activity

20162022

most citedEvasive subspaces, generalized rank weights and near MRD codes

1 citations · 1 across the 1 of their papers we have counts for

collaborators

6 papers

math.CO2022★ 1 cited

Evasive subspaces, generalized rank weights and near MRD codes

Giuseppe Marino, Alessandro Neri, Rocco Trombetti

We revisit and extend the connections between $F_{q^{m}}$ -linear rank-metric codes and evasive $F_{q}$ -subspaces of $F_{q^{m}}^{k}$ . We give a unifying framework…

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…

math.CO2020

Evasive subspaces

Daniele Bartoli, Bence Csajbók, Giuseppe Marino +1

Let $V$ denote an $r$ -dimensional vector space over $F_{q^{n}}$ , the finite field of $q^{n}$ elements. Then $V$ is also an $r n$ -dimension vector space over $F_{q}$ . An…

math.CO2020

On maximum additive Hermitian rank-metric codes

Rocco Trombetti, Ferdinando Zullo

Inspired by the work of Zhou "On equivalence of maximum additive symmetric rank-distance codes" (2020) based on the paper of Schmidt "Symmetric bilinear forms over finite fields wi…

math.CO2019

Automorphism groups and new constructions of maximum additive rank metric codes with restrictions

G. Longobardi, G. Lunardon, R. Trombetti +1

Let $d, n \in Z^{+}$ such that $1 \leq d \leq n$ . A $d$ -code $C \subset F_{q}^{n \times n}$ is a subset of order $n$ square matrices with the property that f…

math.CO2016

Hyperovals in Knuth's binary semifield planes

Nicola Durante, Rocco Trombetti, Yue Zhou

In each of the three projective planes coordinatised by the Knuth's binary semifield $K_{n}$ of order $2^{n}$ and two of its Knuth derivatives, we exhibit a new family of infi…