L. Giuzzi

activity

20242026

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7 papers · 1 filter

math.CO2026

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

Ilaria Cardinali, Luca Giuzzi

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

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 $I^$ be the image of the Segre geometry $PG (V) \otimes PG (V^{*})$ in $\mathrm{PG}…

math.CO2025

Line Hermitian Grassmann Codes and their Parameters

Ilaria Cardinali, Luca Giuzzi

In this paper we introduce and study line Hermitian Grassmann codes as those subcodes of the Grassmann codes associated to the $2$ -Grassmannian of a Hermitian polar space defined o…

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…

math.CO2025

On mutually $I^¼$ -intersecting quasi-Hermitian varieties with some applications

Angela Aguglia, Luca Giuzzi, Viola Siconolfi

Let $W$ be a non-empty set of points of a finite Desarguesian projective space $PG (n, q)$ . A collection of varieties of $PG (n, q)$ is \emph{mutually $I^¼$ -i…

math.CO2025

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

Ilaria Cardinali, Luca Giuzzi

Let $I^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…

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

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

Line Hermitian Grassmann Codes and their Parameters

Minimal codes from hypersurfaces in even characteristic

On mutually I^¼-intersecting quasi-Hermitian varieties with some applications

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

On mutually $I^¼$ -intersecting quasi-Hermitian varieties with some applications