Francesco Ghiandoni

activity

20232026

collaborators

5 papers

math.CO2026

Maximum 2-scattered subspaces of $V (r, q^{6})$ for every $r \geq 3$

Daniele Bartoli, Francesco Ghiandoni, Alessandro Giannoni +2

We prove that for every prime power $q$ and every integer $r \geq 3$ there exists a maximum $2$ -scattered $F_{q}$ -subspace of $V (r, q^{6})$ , that is, a $2 r$ -dimensional $\mathbb…

math.CO2025

Towards the classification of scattered binomials

Daniele Bartoli, Francesco Ghiandoni, Alessandro Giannoni +1

Let $ q $ be a prime power and $ n $ an integer. An $ \mathbb{F}_q $-linearized polynomial $ f $ is said to be scattered if it satisfies the condition that for all \( x, y…

cs.IT2024

On $3$ -dimensional MRD codes of type $⟨ x^{q^{t}}, x + δ x^{q^{2 t}}, G (x)⟩$

Daniele Bartoli, Francesco Ghiandoni

In this work we present results on the classification of $F_{q^{n}}$ -linear MRD codes of dimension three. In particular, using connections with certain algebraic varieties o…

math.CO2024

A new family of $2$ -scattered subspaces and related MRD codes

Daniele Bartoli, Francesco Ghiandoni, Alessandro Giannoni +1

Scattered subspaces and $h$ -scattered subspaces have been extensively studied in recent decades for both theoretical purposes and their connections to various applications. While n…

math.CO2023

On Permutation Trinomials of the type $X^{q^{2} - q + 1} + A X^{q^{2}} + B X$ over $F_{q^{3}}$

Daniele Bartoli, Francesco Ghiandoni

Necessary and sufficient conditions on $A, B \in F_{q^{3}}^{*}$ for $f (X) = X^{q^{2} - q + 1} + A X^{q^{2}} + B X$ being a permutation polynomial of $F_{q^{3}}$ are investigated via a co…

Maximum 2-scattered subspaces of V(r,q6) for every r≥3

Towards the classification of scattered binomials

On 3-dimensional MRD codes of type ⟨xqt,x+δxq2t,G(x)⟩

A new family of 2-scattered subspaces and related MRD codes

On Permutation Trinomials of the type Xq2−q+1+AXq2+BX over Fq3​

Maximum 2-scattered subspaces of $V (r, q^{6})$ for every $r \geq 3$

On $3$ -dimensional MRD codes of type $⟨ x^{q^{t}}, x + δ x^{q^{2 t}}, G (x)⟩$

A new family of $2$ -scattered subspaces and related MRD codes

On Permutation Trinomials of the type $X^{q^{2} - q + 1} + A X^{q^{2}} + B X$ over $F_{q^{3}}$