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Locally recoverable J-affine variety codes
dc.contributor.author | Galindo, Carlos | |
dc.contributor.author | Hernando, Fernando | |
dc.contributor.author | Munuera, Carlos | |
dc.date.accessioned | 2020-04-15T09:51:53Z | |
dc.date.available | 2020-04-15T09:51:53Z | |
dc.date.issued | 2020-06 | |
dc.identifier.citation | GALINDO PASTOR, Carlos; HERNANDO, Fernando; MUNUERA, Carlos (2020). Locally recoverable J-affine variety codes. Finite Fields and Their Applications, v. 64 | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/187473 | |
dc.description.abstract | A locally recoverable (LRC) code is a code over a finite eld Fq such that any erased coordinate of a codeword can be recovered from a small number of other coordinates in that codeword. We construct LRC codes correcting more than one erasure, which are sub eld-subcodes of some J-affine variety codes. For these LRC codes, we compute localities (r; )) that determine the minimum size of a set R of positions so that any - 1 erasures in R can be recovered from the remaining r coordinates in this set. We also show that some of these LRC codes with lengths n >> q are ( - 1)-optimal. | ca_CA |
dc.format.extent | 18 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.relation.isPartOf | Finite Fields and Their Applications (2020), v. 64 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | LRC codes | ca_CA |
dc.subject | Subfield subcodes | ca_CA |
dc.subject | J-affine variety codes | ca_CA |
dc.title | Locally recoverable J-affine variety codes | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.ffa.2020.101661 | |
dc.relation.projectID | 1) Spanish Goverment, Ministerio de Ciencia, Innovación y Universidades (MICINN)/FEDER (grants PGC2018-096446-B-C21 and PGC2018-096446-B-C22); 2) Generalitat Valenciana (grant AICO-2019-223) and 3) University Jaume I (grant PB1-1B2018-10). | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S1071579720300307 | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
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