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dc.contributor.author
Chara, María de Los Ángeles
dc.contributor.author
Galluccio, Francisco
dc.contributor.author
Martínez Moro, Edgar
dc.date.available
2023-10-24T19:00:55Z
dc.date.issued
2022-09
dc.identifier.citation
Chara, María de Los Ángeles; Galluccio, Francisco; Martínez Moro, Edgar; Locally recoverable codes from towers of function fields; Cornell University; arXiv; 9-2022; 1-17
dc.identifier.uri
http://hdl.handle.net/11336/215808
dc.description.abstract
In this work we construct sequences of locally recoverable AG codes arising from a tower of function fields and give bound for the parameters of the obtained codes. In a particular case of a tower over q2 for any odd q, defined by Garcia and Stichtenoth in [GS2007], we show that the bound is sharp for the first code in the sequence, and we include a detailed analysis for the following codes in the sequence based on the distribution of rational places that split completely in the considered function field extension.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Cornell University
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
Function fields
dc.subject
Towers
dc.subject
Codes
dc.subject
LRC
dc.subject
Asymptotic behavior
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Locally recoverable codes from towers of function fields
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-04T11:59:26Z
dc.identifier.eissn
2331-8422
dc.journal.pagination
1-17
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Ithaca
dc.description.fil
Fil: Chara, María de Los Ángeles. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Galluccio, Francisco. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Martínez Moro, Edgar. Universidad de Valladolid. Instituto de Investigacion En Matematicas.; España
dc.journal.title
arXiv
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2209.07136
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.48550/arXiv.2209.07136
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