Artículo

Locally recoverable codes from towers of function fields

Chara, María de Los ÁngelesIcon ; Galluccio, FranciscoIcon ; Martínez Moro, Edgar
Fecha de publicación: 09/2022
Editorial: Cornell University
Revista: arXiv
e-ISSN: 2331-8422
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: Function fields , Towers , Codes , LRC , Asymptotic behavior
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/215808
URL: https://arxiv.org/abs/2209.07136
DOI: https://doi.org/10.48550/arXiv.2209.07136
Colecciones
Articulos(CCT - SANTA FE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Citación
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
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