Giovanni Giuseppe Grimaldi

activity

20232026

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Showing 2023Show all

3 papers · 1 filter

math.CO2023

On the classification of low degree ovoids of $Q^{+} (5, q)$

Daniele Bartoli, Nicola Durante, Giovanni Giuseppe Grimaldi

Ovoids of the Klein quadric $Q^{+} (5, q)$ of $PG (5, q)$ have been studied in the last 40 year, also because of their connection with spreads of $PG (3, q)$ and hence tr…

math.CO2023

On $m$ -ovoids of $Q^{+} (7, q)$ with $q$ odd

Sam Adriaensen, Jan De Beule, Giovanni Giuseppe Grimaldi +1

In this paper, we provide a construction of $(q + 1)$ -ovoids of the hyperbolic quadric $Q^{+} (7, q)$ , $q$ an odd prime power, by glueing $(q + 1) /2$ -ovoids of the elliptic quadric $Q^-(5,…

cs.IT2023

Non-linear MRD codes from cones over exterior sets

Nicola Durante, Giovanni Giuseppe Grimaldi, Giovanni Longobardi

By using the notion of $d$ -embedding $Γ$ of a (canonical) subgeometry $Σ$ and of exterior set with respect to the $h$ -secant variety $Ω_{h} (A)$ of a subset $A$ ,…

On the classification of low degree ovoids of Q+(5,q)

On m-ovoids of Q+(7,q) with q odd

Non-linear MRD codes from cones over exterior sets

On the classification of low degree ovoids of $Q^{+} (5, q)$

On $m$ -ovoids of $Q^{+} (7, q)$ with $q$ odd