Daniele Bartoli

activity

20232026

collaborators

4 papers

cs.IT2026

On the hull of linearized polynomial codes

Daniele Bartoli, Giovanni Giuseppe Grimaldi, Pantelimon Stănică

Motivated by entanglement-assisted quantum error-correcting codes, where the hull dimension determines the number of required pre-shared entangled pairs, we study hulls of two fami…

math.NT2025

On the Classification of Dillon's APN Hexanomials

Daniele Bartoli, Giovanni Giuseppe Grimaldi, Pantelimon Stanica

We systematically analyze a class of hexanomial functions over finite fields of characteristic $2$ proposed by Dillon (2006) as candidates for almost perfect nonlinear (APN) functi…

math.CO2025

Ovoids of $Q^{+} (7, q)$ of low-degree

Daniele Bartoli, Nicola Durante, Giovanni Giuseppe Grimaldi +1

Ovoids of the hyperbolic quadric $Q^{+} (7, q)$ of $PG (7, q)$ have been extensively studied over the past 40 years, partly due to their connections with other combinatorial obj…

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…

On the hull of linearized polynomial codes

On the Classification of Dillon's APN Hexanomials

Ovoids of Q+(7,q) of low-degree

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

Ovoids of $Q^{+} (7, q)$ of low-degree

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