Ferdinando Zullo

activity

20162026

most citedA characterization of linearized polynomials with maximum kernel

41 citations · 125 across the 60 of their papers we have counts for

collaborators

Showing 2019Show all

7 papers · 1 filter

math.CO2019★ 6 cited

A new family of maximum scattered linear sets in $PG (1, q^{6})$

Daniele Bartoli, Corrado Zanella, Ferdinando Zullo

We generalize the example of linear set presented by the last two authors in "Vertex properties of maximum scattered linear sets of $PG (1, q^{n})$ " (2019) to a more general f…

math.CO2019

On the number of roots of some linearized polynomials

Olga Polverino, Ferdinando Zullo

Linearized polynomials appear in many different contexts, such as rank metric codes, cryptography and linear sets, and the main issue regards the characterization of the number of…

math.CO2019★ 5 cited

MRD-codes arising from the trinomial $x^{q} + x^{q^{3}} + c x^{q^{5}} \in F_{q^{6}} [x]$

Giuseppe Marino, Maria Montanucci, Ferdinando Zullo

In [10], the existence of $F_{q}$ -linear MRD-codes of $F_{q}^{6 \times 6}$ , with dimension $12$ , minimum distance $5$ and left idealiser isomorphic to $\mathbb{F}_{q^6…

cs.IT2019

On the list decodability of Rank Metric codes

Rocco Trombetti, Ferdinando Zullo

Let $k, n, m \in Z^{+}$ integers such that $k \leq n \leq m$ , let $G_{n, k} \in F_{q^{m}}^{n}$ be a Delsarte-Gabidulin code. Wachter-Zeh proven that codes belonging…

math.CO2019★ 1 cited

Generalising the scattered property of subspaces

Bence Csajbók, Giuseppe Marino, Olga Polverino +1

Let $V$ be an $r$ -dimensional $F_{q^{n}}$ -vector space. We call an $F_{q}$ -subspace $U$ of $V$ $h$ -scattered if $U$ meets the $h$ -dimensional $F_{q^{n}}$ -subsp…

math.CO2019★ 26 cited

Vertex properties of maximum scattered linear sets of $PG (1, q^{n})$

Corrado Zanella, Ferdinando Zullo

In this paper we investigate the geometric properties of the configuration consisting of a $k$ -subspace $Γ$ and a canonical subgeometry $Σ$ in $PG (n - 1, q^{n})$ , with $Γ\capΣ=…