Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BACHOC, Christine | |
| dc.contributor.author | VALLENTIN, Frank | |
| dc.date.accessioned | 2024-04-04T03:02:54Z | |
| dc.date.available | 2024-04-04T03:02:54Z | |
| dc.date.created | 2007-10-18 | |
| dc.date.issued | 2009-04 | |
| dc.identifier.issn | 0195-6698 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193029 | |
| dc.description.abstractEn | We apply the semidefinite programming approach developed in arxiv:math.MG/0608426 to obtain new upper bounds for codes in spherical caps. We compute new upper bounds for the one-sided kissing number in several dimensions where we in particular get a new tight bound in dimension 8. Furthermore we show how to use the SDP framework to get analytic bounds. | |
| dc.description.sponsorship | Nouvelles interactions des codes correcte d'erre - ANR-06-BLAN-0408 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.ejc.2008.07.017 | |
| dc.subject.hal | Mathématiques [math]/Géométrie métrique [math.MG] | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| 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.identifier.arxiv | math/0610856 | |
| bordeaux.journal | European Journal of Combinatorics | |
| bordeaux.page | 625-637 | |
| bordeaux.volume | 30 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00196164 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00196164v1 | |
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