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Evaluation codes from smooth quadric surfaces and twisted Segre varieties

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOUVREUR, Alain
hal.structure.identifierDepartment of Mathematics [Urbana]
dc.contributor.authorDUURSMA, Iwan
dc.date.accessioned2024-04-04T02:25:00Z
dc.date.available2024-04-04T02:25:00Z
dc.date.issued2013-01-01
dc.identifier.issn0925-1022
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189853
dc.description.abstractEnWe give the parameters of any evaluation code on a smooth quadric surface. For hyperbolic quadrics the approach uses elementary results on product codes and the parameters of codes on elliptic quadrics are obtained by detecting a BCH structure on these codes and using the BCH bound. The elliptic quadric is a twist of the surface P1 × P1 and we detect a similar BCH structure on twists of the Segre embedding of a product of any d copies of the projective line.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enSegre embedding
dc.title.enEvaluation codes from smooth quadric surfaces and twisted Segre varieties
dc.typeArticle de revue
dc.identifier.doi10.1007/s10623-012-9692-4
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Théorie de l'information et codage [math.IT]
dc.subject.halInformatique [cs]/Théorie de l'information [cs.IT]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
bordeaux.journalDesigns, Codes and Cryptography
bordeaux.page291-303
bordeaux.volume66
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1-3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00707540
hal.version1
hal.popularnon
hal.audienceInternationale
dc.subject.esEvaluation codes
dc.subject.esAlgebraic Geometry codes
dc.subject.esquadric surfaces
dc.subject.esBCH codes
dc.subject.esSegre embedding.
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00707540v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Designs,%20Codes%20and%20Cryptography&rft.date=2013-01-01&rft.volume=66&rft.issue=1-3&rft.spage=291-303&rft.epage=291-303&rft.eissn=0925-1022&rft.issn=0925-1022&rft.au=COUVREUR,%20Alain&DUURSMA,%20Iwan&rft.genre=article


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