On the density of cyclotomic lattices constructed from codes
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MOUSTROU, Philippe | |
| dc.date.accessioned | 2024-04-04T02:44:26Z | |
| dc.date.available | 2024-04-04T02:44:26Z | |
| dc.date.issued | 2017-04-25 | |
| dc.identifier.issn | 1793-0421 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191409 | |
| dc.description.abstractEn | Recently, Venkatesh improved the best known lower bound for lattice sphere packings by a factor [Formula: see text] for infinitely many dimensions [Formula: see text]. Here, we prove an effective version of this result, in the sense that we exhibit, for the same set of dimensions, finite families of lattices containing a lattice reaching this bound. Our construction uses codes over cyclotomic fields, lifted to lattices via Construction A. We also prove a similar result for families of symplectic lattices. | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.title.en | On the density of cyclotomic lattices constructed from codes | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/S1793042117500695 | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | International Journal of Number Theory | |
| bordeaux.page | 1261-1274 | |
| bordeaux.volume | 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 05 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03408766 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03408766v1 | |
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