6 papers · 1 filter
Generalizing a family of scattered quadrinomials in
Alessandro Giannoni, Giovanni Giuseppe Grimaldi, Giovanni Longobardi +1
In recent years, several efforts have focused on identifying new families of scattered polynomials. Currently, only three families in are known to exist for i…
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…
Scattered trinomials of in even characteristic
Daniele Bartoli, Giovanni Longobardi, Giuseppe Marino +1
In recent years, several families of scattered polynomials have been investigated in the literature. However, most of them only exist in odd characteristic. In [B. Csajbók, G. Mari…
Complete -arcs in from the Hermitian curve
Daniele Bartoli, Marco Timpanella
We prove that, if is large enough, the set of the -rational points of the Hermitian curve is a complete -arc in , addr…
On the weight distribution of some minimal codes
Daniele Bartoli, Matteo Bonini, Marco Timpanella
Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we provide the weight distri…
A family of permutation trinomials in
Daniele Bartoli, Marco Timpanella
Let and consider a prime power . We completely characterize permutation polynomials of of the type $f_{a,b}(X) = X(1 + aX^{q(q-1)} + bX^{2(q-1)}) \i…