Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Tenório, Wanderson"'
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 atomic GNS in terms of the cardinality of the set of corner special g
Externí odkaz:
http://arxiv.org/abs/2306.13506
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 generalized numerical semigroups in higher dimensions. We present properties of
Externí odkaz:
http://arxiv.org/abs/2201.06403
Autor:
Cisto, Carmelo, Tenório, Wanderson
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 characterizations for its elements. In particular we show that this class
Externí odkaz:
http://arxiv.org/abs/2006.04626
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 study Locally Recoverable Algebraic Geometry codes arising from certain cu
Externí odkaz:
http://arxiv.org/abs/1806.02681
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 due to Delgado \cite{D}, we present a description of these elements whi
Externí odkaz:
http://arxiv.org/abs/1803.08752
In this work we study the generalized Weierstrass semigroup $\widehat{H} (\mathbf{P}_m)$ at an $m$-tuple $\mathbf{P}_m = (P_{1}, \ldots , P_{m})$ of rational points on certain curves admitting a plane model of the form $f(y) = g(x)$ over $\mathbb{F}_
Externí odkaz:
http://arxiv.org/abs/1709.00263
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 enables us to deduce properties concerned with the arithmetical structu
Externí odkaz:
http://arxiv.org/abs/1706.03733
Autor:
Munuera, Carlos, Tenório, Wanderson
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 carried out by Lagrangian interpolation in general and simply by one additio
Externí odkaz:
http://arxiv.org/abs/1606.09073
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 the examples known in the literature in fact belong to this family of
Externí odkaz:
http://arxiv.org/abs/1604.07193
Autor:
Tenório, Wanderson [UNESP]
Publikováno v:
AlephRepositório Institucional da UNESPUniversidade Estadual PaulistaUNESP.
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Externí odkaz:
http://hdl.handle.net/11449/86492
