Linear programming bounds for codes in Grassmannian spaces
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BACHOC, Christine | |
| dc.date.accessioned | 2024-04-04T03:02:55Z | |
| dc.date.available | 2024-04-04T03:02:55Z | |
| dc.date.created | 2006-10-26 | |
| dc.date.issued | 2006 | |
| dc.identifier.issn | 0018-9448 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193031 | |
| dc.description.abstractEn | We introduce a linear programming method to obtain bounds on the cardinality of codes in Grassmannian spaces for the chordal distance. We obtain explicit bounds, and an asymptotic bound that improves on the Hamming bound. Our approach generalizes the approach originally developed by P. Delsarte and Kabatianski-Levenshtein for compact two-point homogeneous spaces. | |
| dc.language.iso | en | |
| dc.publisher | Institute of Electrical and Electronics Engineers | |
| dc.title.en | Linear programming bounds for codes in Grassmannian spaces | |
| dc.type | Article de revue | |
| 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.CO/0610812 | |
| bordeaux.journal | IEEE Transactions on Information Theory | |
| bordeaux.page | 2111-2125 | |
| bordeaux.volume | 52 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00196160 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00196160v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IEEE%20Transactions%20on%20Information%20Theory&rft.date=2006&rft.volume=52&rft.issue=5&rft.spage=2111-2125&rft.epage=2111-2125&rft.eissn=0018-9448&rft.issn=0018-9448&rft.au=BACHOC,%20Christine&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||