1Universidad del Valle, Cali, Colombia. Email: alvaro.garzon@correounivalle.edu.co
2Universidad del Valle, Cali, Colombia. Email: horacio.navarro@correounivalle.edu.co
We give a simple and effective method for the construction of algebraic curves over finite fields with many rational points. The curves are given as Kummer covers of the projective line.
Key words: Algebraic curves, Finite fields, Rational points, Kummer extensions.
Se presenta un simple y efectivo método para la construcción de curvas algebraicas sobre campos finitos con muchos puntos racionales. Las curvas son dadas como coberturas de Kummer de la línea proyectiva.
Palabras clave: Curvas algebraicas, campos finitos, puntos racionales, extensiones de Kummer.
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References
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv47n2a02,
AUTHOR = {Garzón, Álvaro and Navarro, Horacio},
TITLE = {{Division Algorithm and Construction of Curves with Many Points}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2013}, ]]>
volume = {47},
number = {2},
pages = {131--147}
}