Publication:
Algebraic curves over F-3 with many rational points

dc.book.titleAlgebra, Arithmetic and Geometry with Applications
dc.contributor.authorLuengo Velasco, Ignacio
dc.contributor.authorLópez, Bartolomé
dc.contributor.editorChristensen, Chris
dc.contributor.editorSundaram, Ganesh
dc.contributor.editorSundaram, Avinash
dc.contributor.editorBajaj, Chandrajit
dc.date.accessioned2023-06-20T13:38:22Z
dc.date.available2023-06-20T13:38:22Z
dc.date.issued2004
dc.descriptionConference: Conference on Algebra, Arithmetic, Geometry and its Applications Location: Purdue Univ, W Lafayette, in Date: Jul 20-26, 2000
dc.description.abstractWe 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.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16640
dc.identifier.isbn3-540-00475-0
dc.identifier.urihttps://hdl.handle.net/20.500.14352/53148
dc.page.final626
dc.page.initial619
dc.page.total788
dc.publication.placeBerlin
dc.publisherSpringer-Verlag Berlin
dc.rights.accessRightsmetadata only access
dc.subject.cdu512
dc.subject.keywordCodes
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleAlgebraic curves over F-3 with many rational points
dc.typebook part
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce
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