L. Giuzzi

activity

20062025

most citedIdentifiers for MRD-codes

19 citations · 155 across the 50 of their papers we have counts for

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4 papers · 2 filters

math.CO2025

On minimal codes arising from projective embeddings of point-line geometries

Ilaria Cardinali, Luca Giuzzi

Let $C (Ω)$ be the linear code arising from a projective system $Ω$ of $PG (V) .$ Consider the point-line geometry $Γ = (P, L)$ and a projective…

math.CO2025

Linear codes arising from the point-hyperplane geometry -- Part II: the twisted embedding

Ilaria Cardinali, Luca Giuzzi

Let $Γ ˉ$ be the point-hyperplane geometry of a projective space $PG (V),$ where $V$ is a $(n + 1)$ -dimensional vector space over a finite field $F_{q}$ of order $q.…

math.CO2025

Linear codes arising from the point-hyperplane geometry-Part I: the Segre embedding

Ilaria Cardinali, Luca Giuzzi

Let $V$ be a vector space over the finite field $F_{q}$ with $q$ elements and $Λ$ be the image of the Segre geometry $PG (V) \otimes PG (V^{*})$ in $\mathrm{PG}(…

math.CO2025

Minimal codes from hypersurfaces in even characteristic

Angela Aguglia, Luca Giuzzi, Giovanni Longobardi +1

The setting of projective systems can be used to study the parameters of a projective linear code $C$ . This can be done by considering the intersections of the point set…