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dc.contributor.author
Chara, María de Los Ángeles
dc.contributor.author
Kottler, Sam
dc.contributor.author
Malmskog, Beth
dc.contributor.author
Thompson, Bianca
dc.contributor.author
West, Mckenzie
dc.date.available
2023-03-02T13:37:05Z
dc.date.issued
2022-04
dc.identifier.citation
Chara, María de Los Ángeles; Kottler, Sam; Malmskog, Beth ; Thompson, Bianca; West, Mckenzie; Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves; ArXiv.org; arXiv; 2022; 4-2022; 1-23
dc.identifier.uri
http://hdl.handle.net/11336/189373
dc.description.abstract
We construct families of locally recoverable codes with availability t≥2 using fiber products of curves, determine the exact minimum distance of many families, and prove a general theorem for minimum distance of such codes. The paper concludes with an exploration of parameters of codes from these families and the fiber product construction more generally. We show that fiber product codes can achieve arbitrarily large rate and arbitrarily small relative defect, and compare to known bounds and important constructions from the literature.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
ArXiv.org
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Minimum Distance
dc.subject
Parameter Ranges
dc.subject
Locally Recoverable Codes
dc.subject
Fiber Products of Curves
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-02-09T16:03:16Z
dc.identifier.eissn
2331-8422
dc.journal.volume
2022
dc.journal.pagination
1-23
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Chara, María de Los Ángeles. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina
dc.description.fil
Fil: Kottler, Sam. Colorado College; Estados Unidos
dc.description.fil
Fil: Malmskog, Beth. Colorado College; Estados Unidos
dc.description.fil
Fil: Thompson, Bianca. Westminster College; Estados Unidos
dc.description.fil
Fil: West, Mckenzie. University of Wisconsin; Estados Unidos
dc.journal.title
arXiv
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2204.03755
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.48550/arXiv.2204.03755
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