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 2017Show all

10 papers · 1 filter

math.CO2017

Linear codes from Denniston maximal arcs

Daniele Bartoli, Massimo Giulietti, Maria Montanucci

In this paper we construct functional codes from Denniston maximal arcs. For $q = 2^{4 n + 2}$ we obtain linear codes with parameters $[(q - 1) (q + 1), 5, d]_{q}$ where $\lim_{q \to +\in…

math.AG2017★ 28 cited

A new family of maximal curves

Peter Beelen, Maria Montanucci

In this article we construct for any prime power $q$ and odd $n \geq 5$ , a new $F_{q^{2 n}}$ -maximal curve $X_{n}$ . Like the Garcia--G\" uneri--Stichtenoth maximal cu…

cs.IT2017

AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves

Maria Montanucci, Marco Timpanella, Giovanni Zini

We investigate several types of linear codes constructed from two families $S ~_{q}$ and $R ~_{q}$ of maximal curves over finite fields recently construct…

math.AG2017

Weierstrass semigroups on the Giulietti-Korchmáros curve

Peter Beelen, Maria Montanucci

In this article we explicitly determine the structure of the Weierstrass semigroups $H (P)$ for any point $P$ of the Giulietti-Korchmáros curve $X$ . We show that as the po…

math.AG2017

On plane curves given by separated polynomials and their automorphisms

Matteo Bonini, Maria Montanucci, Giovanni Zini

Let $C$ be a plane curve defined over the algebraic closure $K$ of a prime finite field $F_{p}$ by a separated polynomial, that is $C : A (y) = B (x)$ , where…

math.AG2017★ 2 cited

$F_{p^{2}}$ -maximal curves with many automorphisms are Galois-covered by the Hermitian curve

Daniele Bartoli, Maria Montanucci, Fernando Torres

Let $F$ be the finite field of order $q^{2}$ , $q = p^{h}$ with $p$ prime. It is commonly atribute to J.P. Serre the fact that any curve $F$ -covered by the Hermitian cur…

math.AG2017

Large automorphism groups of ordinary curves in characteristic $2$

Maria Montanucci, Pietro Speziali

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

math.AG2017

On the spectrum of genera of quotients of the Hermitian curve

Maria Montanucci, Giovanni Zini

We investigate the genera of quotient curves $H_{q} / G$ of the $F_{q^{2}}$ -maximal Hermitian curve $H_{q}$ , where $G$ is contained in the maximal subgroup $\math…

math.CO2017★ 3 cited

AG codes and AG quantum codes from the GGS curve

Daniele Bartoli, Maria Montanucci, Giovanni Zini

In this paper, algebraic-geometric (AG) codes associated with the GGS maximal curve are investigated. The Weierstrass semigroup at all $F_{q^{2}}$ -rational points of the curv…

math.AG2017★ 1 cited

Transcendency Degree One Function Fields Over a Finite Field with Many Automorphisms

Gábor Korchmáros, Maria Montanucci, Pietro Speziali

Let $K$ be the algebraic closure of a finite field $F_{q}$ of odd characteristic $p$ . For a positive integer $m$ prime to $p$ , let $F = K (x, y)$ be the transc…

Linear codes from Denniston maximal arcs

A new family of maximal curves

AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves

Weierstrass semigroups on the Giulietti-Korchmáros curve

On plane curves given by separated polynomials and their automorphisms

Fp2​-maximal curves with many automorphisms are Galois-covered by the Hermitian curve

Large automorphism groups of ordinary curves in characteristic 2

On the spectrum of genera of quotients of the Hermitian curve

AG codes and AG quantum codes from the GGS curve

Transcendency Degree One Function Fields Over a Finite Field with Many Automorphisms

$F_{p^{2}}$ -maximal curves with many automorphisms are Galois-covered by the Hermitian curve

Large automorphism groups of ordinary curves in characteristic $2$