3 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 proposed by Dillon (2006) as candidates for almost perfect nonlinear (APN) functi…
math.CO2025
Ovoids of of low-degree
Daniele Bartoli, Nicola Durante, Giovanni Giuseppe Grimaldi +1
Ovoids of the hyperbolic quadric of have been extensively studied over the past 40 years, partly due to their connections with other combinatorial obj…