F. Pavese

collaborators

3 papers

math.CO2026

Strongly regular graphs from hyperbolic quadrics and their maximal cliques

Antonio Cossidente, Jan De Beule, Giuseppe Marino +2

Let $Q^{+} (2 n + 1, q)$ be a hyperbolic quadric of $\PG(2n+1,q)$. Fix a generator $I^$ of the quadric. Define $\cG_n$ as the graph with as vertex set the points of $Q^+(2n+1,q)\setminus…

math.NT2025

Zeros of special polynomials and their impact on a class of APN functions

Daniele Bartoli, Marco Calderini, Giuseppe Marino +1

In 2021, Calderini et al. introduced a construction for APN functions on $F_{2^{2 m}}$ in bivariate form $$ f(x,y)=\big(xy,\, x^{2^r+1} + x^{2^{r+m/2}} y^{2^{m/2}} + bxy^{2…

math.CO2025

On line-parallelisms of PG(3, q)

Francesco Pavese, Paolo Santonastaso

Let $PG (3, q)$ denote the three-dimensional projective space over the finite field with $q$ elements. A line-spread of $PG (3, q)$ is a collection $S$ of…