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Duals of linearized Reed-Solomon codes

hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierAnalyse cryptographique et arithmétique [CANARI]
dc.contributor.authorCARUSO, Xavier
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorDURAND, Amaury
dc.date.accessioned2024-04-04T02:44:37Z
dc.date.available2024-04-04T02:44:37Z
dc.date.issued2023
dc.identifier.issn0925-1022
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191423
dc.description.abstractEnWe give a description of the duals of linearized Reed-Solomon codes in terms of codes obtained by taking residues of Ore rational functions. Our construction shows in particular that, under some assumptions on the base field, the class of linearized Reed-Solomon codes is stable under duality. As a byproduct of our work, we develop a theory of residues in the Ore setting.
dc.description.sponsorshipCorrespondance de Langlands p-adique : une approche constructive et algorithmique - ANR-18-CE40-0026
dc.language.isoen
dc.publisherSpringer Verlag
dc.rights.urihttp://creativecommons.org/licenses/by/
dc.title.enDuals of linearized Reed-Solomon codes
dc.typeArticle de revue
dc.identifier.doi10.1007/s10623-022-01102-7
dc.subject.halMathématiques [math]/Anneaux et algèbres [math.RA]
dc.subject.halInformatique [cs]/Théorie de l'information [cs.IT]
dc.identifier.arxiv2110.12675
bordeaux.journalDesigns, Codes and Cryptography
bordeaux.page241-271
bordeaux.volume91
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03395402
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03395402v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Designs,%20Codes%20and%20Cryptography&rft.date=2023&rft.volume=91&rft.issue=1&rft.spage=241-271&rft.epage=241-271&rft.eissn=0925-1022&rft.issn=0925-1022&rft.au=CARUSO,%20Xavier&DURAND,%20Amaury&rft.genre=article


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