Evaluation codes from smooth quadric surfaces and twisted Segre varieties
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | COUVREUR, Alain | |
hal.structure.identifier | Department of Mathematics [Urbana] | |
dc.contributor.author | DUURSMA, Iwan | |
dc.date.accessioned | 2024-04-04T02:25:00Z | |
dc.date.available | 2024-04-04T02:25:00Z | |
dc.date.issued | 2013-01-01 | |
dc.identifier.issn | 0925-1022 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189853 | |
dc.description.abstractEn | We 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.iso | en | |
dc.publisher | Springer Verlag | |
dc.subject.en | Segre embedding | |
dc.title.en | Evaluation codes from smooth quadric surfaces and twisted Segre varieties | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s10623-012-9692-4 | |
dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
dc.subject.hal | Mathématiques [math]/Théorie de l'information et codage [math.IT] | |
dc.subject.hal | Informatique [cs]/Théorie de l'information [cs.IT] | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
bordeaux.journal | Designs, Codes and Cryptography | |
bordeaux.page | 291-303 | |
bordeaux.volume | 66 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 1-3 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00707540 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
dc.subject.es | Evaluation codes | |
dc.subject.es | Algebraic Geometry codes | |
dc.subject.es | quadric surfaces | |
dc.subject.es | BCH codes | |
dc.subject.es | Segre embedding. | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00707540v1 | |
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