Algebraic curves over F-3 with many rational points
No Thumbnail Available
Official URL
Full text at PDC
Publication date
2004
Authors
López, Bartolomé
Advisors (or tutors)
Journal Title
Journal ISSN
Volume Title
Publisher
Springer-Verlag Berlin
Citation
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.
Description
Conference: Conference on Algebra, Arithmetic, Geometry and its Applications Location: Purdue Univ, W Lafayette, in Date: Jul 20-26, 2000