G. Marino

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20242026

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math.CO2024

A new infinite family of maximum $h$ -scattered $F_{q}$ -subspaces of $V (m (h + 1), q^{n})$ and associated MRD codes

Daniele Bartoli, Alessandro Giannoni, Giuseppe Marino

The exploration of linear subspaces, particularly scattered subspaces, has garnered considerable attention across diverse mathematical disciplines in recent years, notably within f…

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…

A new infinite family of maximum h-scattered Fq​-subspaces of V(m(h+1),qn) and associated MRD codes

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

New scattered subspaces in higher dimensions

A new infinite family of maximum $h$ -scattered $F_{q}$ -subspaces of $V (m (h + 1), q^{n})$ and associated MRD codes

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