Daniele Bartoli

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20232026

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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…

On the Classification of Dillon's APN Hexanomials

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

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