M. Montanucci

activity

20162026

most citedTowards the full classification of exceptional scattered polynomials

9 citations · 18 across the 21 of their papers we have counts for

collaborators

Showing math.COShow all

9 papers · 1 filter

math.CO2020

On a conjecture about maximum scattered subspaces of $F_{q^{6}} \times F_{q^{6}}$

Daniele Bartoli, Bence Csajbók, Maria Montanucci

Maximum scattered subspaces are not only objects of intrinsic interest in finite geometry but also powerful tools for the construction of MRD-codes, projective two-weight codes, an…

math.CO2019

MRD-codes arising from the trinomial $x^{q} + x^{q^{3}} + c x^{q^{5}} \in F_{q^{6}} [x]$

Giuseppe Marino, Maria Montanucci, Ferdinando Zullo

In [10], the existence of $F_{q}$ -linear MRD-codes of $F_{q}^{6 \times 6}$ , with dimension $12$ , minimum distance $5$ and left idealiser isomorphic to $\mathbb{F}_{q^6…

math.CO2019★ 9 cited

Towards the full classification of exceptional scattered polynomials

Daniele Bartoli, Maria Montanucci

Let $f (X) \in F_{q^{r}} [X]$ be a $q$ -polynomial. If the $F_{q}$ -subspace $U = {(x^{q^{t}}, f (x)) ∣ x \in F_{q^{n}}}$ defines a maximum scattered linear set, th…

math.CO2019

A class of linear sets in PG(1,q^5)

Maria Montanucci, Corrado Zanella

The maximum scattered linear sets in $P G (1, q^{n})$ have been completely classified for $n \leq 4$ by Csajbók-Zanella and Lavrauw-Van de Voorde. Here a wide class of linear sets in $PG…

math.CO2019★ 1 cited

Bent functions from triples of permutation polynomials

Daniele Bartoli, Maria Montanucci, Giovanni Zini

We provide constructions of bent functions using triples of permutations. This approach is due to Mesnager. In general, involutions have been mostly considered in such a machinery;…

math.CO2018

Weierstrass semigroups at every point of the Suzuki curve