I. Cardinali

activity

20132025

most citedCodes and caps from orthogonal Grassmannians

14 citations · 82 across the 28 of their papers we have counts for

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4 papers · 1 filter

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.GR2025

On the $1$ -cohomology of $SL (n, K)$ on the dual of its adjoint module

Ilaria Cardinali, Luca Giuzzi, Antonio Pasini

Given a field $K$ , for any $n \geq 3$ the first cohomology group $H^{1} (G_{n}, A_{n}^{*})$ of the special linear group $G_{n} = SL (n, K)$ over the dual $A_{n}^{*}$ of its…

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

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

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

On the 1-cohomology of SL(n,K) on the dual of its adjoint module

On the $1$ -cohomology of $SL (n, K)$ on the dual of its adjoint module