Francesco Ghiandoni

collaborators

3 papers

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…

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 $3$ -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