| dc.contributor.author | Johnsen, Trygve | eng |
| dc.contributor.author | Rasmussen, Nils Henry | eng |
| dc.date.accessioned | 2012-01-04T10:29:51Z | |
| dc.date.available | 2012-01-04T10:29:51Z | |
| dc.date.issued | 2010 | eng |
| dc.Published | Applicable Algebra in Engineering, Communication and Computing 21(5): 397-415 | en |
| dc.identifier.issn | 0938-1279 (print version) | en_US |
| dc.identifier.issn | 1432-0622 (electronic version) | en_US |
| dc.identifier.uri | https://hdl.handle.net/1956/5336 | |
| dc.description.abstract | We construct linear codes from scrolls over curves of high genus and study the higher support weights di of these codes. We embed the scroll into projective space Pk-1 and calculate bounds for the di by considering the maximal number of Fq-rational points that are contained in a codimension h subspace of Pk-1. We nd lower bounds of the di and for the cases of large i calculate the exact values of the di. This work follows the natural generalisation of Goppa codes to higher-dimensional varieties as studied by S.H. Hansen, C. Lomont and T. Nakashima. | en_US |
| dc.language.iso | eng | eng |
| dc.publisher | Springer | en_US |
| dc.subject | Projective bundles on curves | eng |
| dc.subject | Error-correcting codes | eng |
| dc.title | Scroll codes over curves of higher genus | en_US |
| dc.type | Peer reviewed | |
| dc.type | Journal article | |
| dc.description.version | acceptedVersion | en_US |
| dc.rights.holder | Copyright Springer-Verlag 2010 | en_US |
| dc.identifier.doi | https://doi.org/10.1007/s00200-010-0130-4 | |
| dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414 | en_US |
