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 2019Show all

8 papers · 1 filter

math.AG2019

On certain self-orthogonal AG codes with applications to Quantum error-correcting codes

Daniele Bartoli, Maria Montanucci, Giovanni Zini

In this paper a construction of quantum codes from self-orthogonal algebraic geometry codes is provided. Our method is based on the CSS construction as well as on some peculiar pro…

math.AG2019

New examples of maximal curves with low genus

Daniele Bartoli, Massimo Giulietti, Mokoto Kawakita +1

We investigate the Jacobian decomposition of some algebraic curves over finite fields with genus $4$ , $5$ and $10$ . As a corollary, explicit equations for curves that are either ma…

math.AG2019

Large automorphism groups of ordinary curves of even genus in odd characteristic

Maria Montanucci, Pietro Speziali

Let $X$ be a (projective, non-singular, geometrically irreducible) curve of even genus $g (X) \geq 2$ defined over an algebraically closed field $K$ of odd chara…

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.AG2019

AG codes from the second generalization of the GK maximal curve

Maria Montanucci, Vicenzo Pallozzi Lavorante

The second generalized GK maximal curves $G K_{2, n}$ are maximal curves over finite fields with $q^{2 n}$ elements, where $q$ is a prime power and $n \geq 3$ an odd integer…

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;…

On certain self-orthogonal AG codes with applications to Quantum error-correcting codes

New examples of maximal curves with low genus

Large automorphism groups of ordinary curves of even genus in odd characteristic

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)

AG codes from the second generalization of the GK maximal curve

Bent functions from triples of permutation polynomials

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