A. Giannoni

collaborators

3 papers

cs.IT2026

An infinite family of non-extendable MRD codes

Daniele Bartoli, Alessandro Giannoni, Giuseppe Marino +1

In the realm of rank-metric codes, Maximum Rank Distance (MRD) codes are optimal algebraic structures attaining the Singleton-like bound. A major open problem in this field is dete…

math.CO2025

Long QMDS additive code

Daniele Bartoli, Alessandro Giannoni, Giuseppe Marino +1

We investigate additive codes, defined as $F_{q}$ -linear subspaces $C \subseteq F_{q^{h}}^{n}$ of length $n$ and dimension $r$ over $F_{q}$ . An additive code is…

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…