24 citations · 27 across the 4 of their papers we have counts for
9 papers
On atoms of the set of generalized numerical semigroups with fixed corner element
Matheus Bernardini, Alonso S. Castellanos, Wanderson Tenório +1
We study the so-called atomic GNS, which naturally extends the concept of atomic numerical semigroup. We introduce the notion of corner special gap and we characterize the class of…
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…
Generalized Weierstrass semigroups and their Poincaré series
Julio José Moyano-Fernández, Wanderson Tenório, Fernando Torres
We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of these semigroups that e…
Locally Recoverable codes from rational maps
Carlos Munuera, Wanderson Tenório
We give a method to construct Locally Recoverable Error-Correcting codes. This method is based on the use of rational maps between affine spaces. The recovery of erasures is carrie…
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…