Preprint A47/2001
A Construction of Curves over Finite Fields

Luciane Quoos | Garcia, Arnaldo

**Keywords: **
rational points | Curves over Finite Fields

We give an effective method for the construction of curves with many rational points over finite fields.We consider Kummer extensions of the rational function field and the basic idea of the method is the construction of certain rational functions that have the value 1(one)when evaluated at most of the rational points of the projective line.