M. Montanucci

activity

20152026

most citedA new family of maximal curves

28 citations · 86 across the 40 of their papers we have counts for

collaborators

Showing 2019 · math.COShow all

4 papers · 2 filters

math.CO2019★ 5 cited

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;…

MRD-codes arising from the trinomial xq+xq3+cxq5∈Fq6​[x]

Towards the full classification of exceptional scattered polynomials

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

Bent functions from triples of permutation polynomials

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