%0 Book Section
%T Algebraic curves over F-3 with many rational points
publisher Springer-Verlag Berlin
%D 2004
%U 3-540-00475-0
%@ https://hdl.handle.net/20.500.14352/53148
%X 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.
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