Alessandro Giannoni

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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.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.CO2024

New scattered subspaces in higher dimensions

D. Bartoli, A. Giannoni, G. Marino

Over the past few decades, there has been extensive research on scattered subspaces, partly because of their link to MRD codes. These subspaces can be characterized using linearize…

Long QMDS additive code

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

New scattered subspaces in higher dimensions

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