Corrado Zanella

activity

20242026

collaborators

4 papers

math.CO2026

Construction of Regular Fat Linear Sets and Non-Representable q-Matroids

Yufei Qiu, Valentino Smaldore, Zhenpeng Wang +2

Let $q$ be a prime power. An $(r, i)$ -regular fat $F_{q}$ -linear set has exactly $r$ points of weight $i \geq 2$ , called fat points. All of its remaining points have weight one,…

math.CO2025

Regular fat linear sets

Valentino Smaldore, Corrado Zanella, Ferdinando Zullo

In this work, we introduce $(r, i)$ -regular fat linear sets, which are defined as linear sets containing exactly $r$ points of weight $i$ and all other points of weight one. This no…

math.CO2024

New scattered linearized quadrinomials

Valentino Smaldore, Corrado Zanella, Ferdinando Zullo

Let $1 < t < n$ be integers, where $t$ is a divisor of $n$ . An R- $q^{t}$ -partially scattered polynomial is a $F_{q}$ -linearized polynomial $f$ in $F_{q^{n}} [X]$ that satisfie…

math.CO2024

On the stabilizer of the graph of linear functions over finite fields

Valentino Smaldore, Corrado Zanella, Ferdinando Zullo

In this paper we will study the action of $F_{q^{n}}^{2 \times 2}$ on the graph of an $F_{q}$ -linear function of $F_{q^{n}}$ into itself. In particular we will…