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20212025
most citedTwo-point AG codes from the Beelen-Montanucci maximal curve

10 citations · 21 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2025

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus,

Peter Beelen, Maria Montanucci, Lara Vicino

In this article we complete the work started in arXiv:2303.00376v1 [math.AG] and arXiv:2404.18808v1 [math.AG], explicitly determining the Weierstrass semigroup at any place and the…

math.AG2024★ 1 cited

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus,

Peter Beelen, Maria Montanucci, Lara Vicino

In this article we continue the work started in arXiv:2303.00376v1, explicitly determining the Weierstrass semigroup at any place and the full automorphism group of a known $\mathb…

math.AG2023★ 3 cited

Two-point AG codes from one of the Skabelund maximal curves

Leonardo Landi, Marco Timpanella, Lara Vicino

In this paper, we investigate two-point Algebraic Geometry codes associated to the Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to estimate t…

math.AG2023★ 5 cited

Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus

Peter Beelen, Maria Montanucci, Lara Vicino

In this article we explicitly determine the Weierstrass semigroup at any point and the full automorphism group of a known -maximal curve having th…

math.CO2022★ 1 cited

Exceptional scattered sequences

Daniele Bartoli, Giuseppe Marino, Alessandro Neri +1

The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of -linear…

math.NT2022

On the constant defined by Homma

Peter Beelen, Maria Montanucci, Lara Vicino

Let be a projective, irreducible, nonsingular algebraic curve over the finite field with elements and let and $g(\mat…

math.AG2021★ 10 cited

Two-point AG codes from the Beelen-Montanucci maximal curve

Leonardo Landi, Lara Vicino

In this paper we investigate two-point algebraic-geometry codes (AG codes) coming from the Beelen-Montanucci (BM) maximal curve. We study properties of certain two-point Weierstras…

math.AG2021★ 1 cited

Rational points on cubic surfaces and AG codes from the Norm-Trace curve

Matteo Bonini, Massimiliano Sala, Lara Vicino

In this paper we give a complete characterization of the intersections between the Norm-Trace curve over and the curves of the form , generaliz…