6 papers
The corner element of generalized numerical semigroups
Matheus Bernardini, Wanderson Tenório, Guilherme Tizziotti
In this paper we introduce the concept of corner element of a generalized numerical semigroup, which extends in a sense the idea of conductor of a numerical semigroup to generalize…
On almost-symmetry in generalized numerical semigroups
Carmelo Cisto, Wanderson Tenório
In this work we introduce the notion of almost-symmetry for generalized numerical semigroups. In addition to the main properties occurring in this new class, we present several cha…
Locally Recoverable codes from algebraic curves with separated variables
Carlos Munuera, Wanderson Tenório, Fernando Torres
A Locally Recoverable code is an error-correcting code such that any erasure in a single coordinate of a codeword can be recovered from a small subset of other coordinates. We stud…
On Weierstrass gaps at several points
Wanderson Tenório, Guilherme Tizziotti
We consider the problem of determining Weierstrass gaps and pure Weierstrass gaps at several points. Using the notion of relative maximality in generalized Weierstrass semigroups d…
Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables
Wanderson Tenório, Guilherme Tizziotti
In this work we study the generalized Weierstrass semigroup at an -tuple of rational points on certain curv…
Quantum error-correcting codes from Algebraic Geometry codes of Castle type
Carlos Munuera, Wanderson Tenório, Fernando Torres
We study Algebraic Geometry codes producing quantum error-correcting codes by the CSS construction. We pay particular attention to the family of Castle codes. We show that many of…