Algebraic curves over F-3 with many rational points
| dc.book.title | Algebra, Arithmetic and Geometry with Applications | |
| dc.contributor.author | Luengo Velasco, Ignacio | |
| dc.contributor.author | López, Bartolomé | |
| dc.contributor.editor | Christensen, Chris | |
| dc.contributor.editor | Sundaram, Ganesh | |
| dc.contributor.editor | Sundaram, Avinash | |
| dc.contributor.editor | Bajaj, Chandrajit | |
| dc.date.accessioned | 2023-06-20T13:38:22Z | |
| dc.date.available | 2023-06-20T13:38:22Z | |
| dc.date.issued | 2004 | |
| dc.description | Conference: Conference on Algebra, Arithmetic, Geometry and its Applications Location: Purdue Univ, W Lafayette, in Date: Jul 20-26, 2000 | |
| dc.description.abstract | We present a method to find curves over the finite field F-3 with many rational points. The method is based in an arithmetic study of linear systems of projective plane curves of a given degree and prescribed singularities. We have found curves of genera 4, 5, 6, 7 and 8 which in the cases of genera 5 and 8 improve the existent bounds for the number of rational points, and in the cases of genera 4, 6 and 7 reach these bounds. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16640 | |
| dc.identifier.isbn | 3-540-00475-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/53148 | |
| dc.page.final | 626 | |
| dc.page.initial | 619 | |
| dc.page.total | 788 | |
| dc.publication.place | Berlin | |
| dc.publisher | Springer-Verlag Berlin | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 512 | |
| dc.subject.keyword | Codes | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | Algebraic curves over F-3 with many rational points | |
| dc.type | book part | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce | |
| relation.isAuthorOfPublication.latestForDiscovery | 2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce |