I. Cardinali

activity

20132025

most citedCodes and caps from orthogonal Grassmannians

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

collaborators

29 papers

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…

math.RT2024

The relatively universal cover of the natural embedding of the long root geometry for the group $SL (n + 1, K)$

I. Cardinali, L. Giuzzi, A. Pasini

The long root geometry $A_{n, {1, n}} (K)$ for the special linear group $SL (n + 1, K)$ admits an embedding in the (projective space of) the vector space of t…

math.CO2023★ 2 cited

Grassmannians of codes

I. Cardinali, L. Giuzzi

Consider the point line-geometry $P_{t} (n, k)$ having as points all the $[n, k]$ -linear codes having minimum dual distance at least $t + 1$ and where two points $X$ and $Y$ ar…

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

The relatively universal cover of the natural embedding of the long root geometry for the group SL(n+1,K)

Grassmannians of codes

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

The relatively universal cover of the natural embedding of the long root geometry for the group $SL (n + 1, K)$