Kneser-Hecke-operators in coding theory
| dc.creator | Nebe, Gabriele | |
| dc.date | 2005-09-21 | |
| dc.date | 2006-07-18 | |
| dc.date.accessioned | 2026-07-07T06:43:05Z | |
| dc.date.available | 2026-07-07T06:43:05Z | |
| dc.description | The Kneser-Hecke-operator is a linear operator defined on the complex vector space spanned by the equivalence classes of a family of self-dual codes of fixed length. It maps a linear self-dual code $C$ over a finite field to the formal sum of the equivalence classes of those self-dual codes that intersect $C$ in a codimension 1 subspace. The eigenspaces of this self-adjoint linear operator may be described in terms of a coding-theory analogue of the Siegel $Φ$-operator. | |
| dc.identifier | https://arxiv.org/abs/math/0509474 | |
| dc.identifier | http://arxiv.org/abs/math/0509474 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102279 | |
| dc.subject | Number Theory | |
| dc.subject | 94B05, 11F60 | |
| dc.title | Kneser-Hecke-operators in coding theory | |
| dc.type | text |