Name
Abstract | ||
|---|---|---|
We construct linear codes from scrolls over curves of high genus and study the higher support weights d i of these codes. We embed the scroll into projective space $${\mathbb{P}^{k-1}}$$and calculate bounds for the d i by considering the maximal number of $${\mathbb{F}_q}$$-rational points that are contained in a codimension h subspace of $${\mathbb{P}^{k-1}}$$. We find lower bounds of the d i and for the cases of large i calculate the exact values of the d i . This work follows the natural generalisation of Goppa codes to higher-dimensional varieties as studied by S.H. Hansen, C. Lomont and T. Nakashima. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s00200-010-0130-4 | Appl. Algebra Eng. Commun. Comput. |
Keywords | DocType | Volume |
Projective bundles on curves,Error-correcting codes,94B27,14Q05 | Journal | 21 |
Issue | ISSN | Citations |
5 | 0938-1279 | 1 |
PageRank | References | Authors |
0.43 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Trygve Johnsen | 1 | 33 | 7.94 |
| Nils Henry Rasmussen | 2 | 1 | 0.43 |