9 citations · 11 across the 8 of their papers we have counts for
27 papers
Classification of all Galois subcovers of the Skabelund maximal curves
Peter Beelen, Leonardo Landi, Maria Montanucci
In 2017 Skabelund constructed two new examples of maximal curves and as covers of the Suzuki and Ree curves, respectively. The resul…
A bound for the number of points of space curves over finite fields
Peter Beelen, Maria Montanucci
For a non-degenerate irreducible curve of degree in over , we prove that the number of -rational points of satisfies…
Weierstrass semigroups on the Skabelund maximal curve
Peter Beelen, Leonardo Landi, Maria Montanucci
In 2017, D. Skabelund constructed a maximal curve over as a cyclic cover of the Suzuki curve. In this paper we explicitly determine the structure of the Weierstr…
Locally recoverable codes from automorphism groups of function fields of genus
Daniele Bartoli, Maria Montanucci, Luciane Quoos
A Locally Recoverable Code is a code such that the value of any single coordinate of a codeword can be recovered from the values of a small subset of other coordinates. When we hav…
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…
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 , and . As a corollary, explicit equations for curves that are either ma…