Luengo Velasco, Ignacio and López, Bartolomé (2004) Algebraic curves over F-3 with many rational points. In Algebra, Arithmetic and Geometry with Applications. Springer-Verlag Berlin, Berlin, pp. 619-626. ISBN 3-540-00475-0
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.
|Item Type:||Book Section|
|Additional Information:||Conference: Conference on Algebra, Arithmetic, Geometry and its Applications Location: Purdue Univ, W Lafayette, in Date: Jul 20-26, 2000|
|Subjects:||Sciences > Mathematics > Algebra|
|Deposited On:||11 Oct 2012 10:58|
|Last Modified:||11 Oct 2012 10:58|
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