Giovanni Giuseppe Grimaldi

activity

20232026

collaborators

Showing 2025Show all

3 papers · 1 filter

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…

cs.CR2025

Homomorphic encryption schemes based on coding theory and polynomials

Giovanni Giuseppe Grimaldi

Homomorphic encryption is a powerful cryptographic tool that enables secure computations on the private data. It evaluates any function for any operation securely on the encrypted…

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

Homomorphic encryption schemes based on coding theory and polynomials

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

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