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    Revista Colombiana de Matemáticas
    Volumen 37 [ 1] ( 2003) Páginas 37 - 50


    Euclidean algorithm and Kummer covers with many points

    Alvaro Garzón
    Universidad del Valle, Cali, COLOMBIA


    Abstract. We give a simple and effective method for the construction of algebraic curves over finite fields with many rational points. The curves constructed are Kummer covers or fibre products of Kummer covers of the projective line.

    Palabras claves. algebraic curves, finite fields, rational points, Kummer extensions

    Codigo AMS. 1991 Mathematics Subject Classification. Primary: 14G05.

    Archivo completo : Formato [PDF] (139 K).