Article ID Journal Published Year Pages File Type
4583381 Finite Fields and Their Applications 2009 7 Pages PDF
Abstract

This paper has double purposes. One of them is to give a new bound on the number of points of a plane curve of degree d over a finite field that meets Sziklai's conjectural bound at d=q+1. An example shows that this bound is sharp for d=q+1. The second one is to study an example against that conjecture for q=d=4. This curve also shows the sharpness of our bound.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory