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Título
Doubly and triply extended MSRD codes
dc.contributor.authorMartínez Peñas, Umberto
dc.date.accessioned2023-08-30T11:39:02Z
dc.date.available2023-08-30T11:39:02Z
dc.date.issued2023
dc.identifier.citationFinite Fields and Their Applications, 2023, vol. 91, 102272es
dc.identifier.issn1071-5797es
dc.identifier.urihttps://uvadoc.uva.es/handle/10324/61245
dc.descriptionProducción Científicaes
dc.description.abstractIn this work, doubly extended linearized Reed–Solomon codes and triply extended Reed–Solomon codes are generalized. We obtain a general result in which we characterize when a multiply extended code for a general metric attains the Singleton bound. We then use this result to obtain several families of doubly extended and triply extended maximum sum-rank distance (MSRD) codes that include doubly extended linearized Reed–Solomon codes and triply extended Reed–Solomon codes as particular cases. To conclude, we discuss when these codes are one-weight codes.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectCoding theoryes
dc.subjectCoding and Information Theoryes
dc.subject.classificationLinearized Reed–Solomon codeses
dc.subject.classificationDoubly extended codeses
dc.subject.classificationTriply extendedes
dc.subject.classificationCódigos Reed-Solomon linealizadoses
dc.subject.classificationCódigos doblemente extendidoses
dc.subject.classificationTriplemente extendidoes
dc.titleDoubly and triply extended MSRD codeses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2023 The Authorses
dc.identifier.doi10.1016/j.ffa.2023.102272es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S1071579723001144?via%3Dihubes
dc.identifier.publicationfirstpage102272es
dc.identifier.publicationtitleFinite Fields and Their Applicationses
dc.identifier.publicationvolume91es
dc.peerreviewedSIes
dc.description.projectMaría Zambrano contract by the University of Valladolid, Spain (Contract no. E-47-2022-0001486)es
dc.rightsAtribución 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones
dc.subject.unesco12 Matemáticases


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