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| Title: | P-EXTENSIONES ABELIANAS ELEMENTALES Y CURVAS CON MUCHOS PUNTOS ELEMENTARY ABELIAN P-EXTENSIONS AND CURVES WITH MANY POINTS |
| Authors: | Garzón R, Alvaro Arnoldo, Teherán Herrera Academia Colombiana de Ciencias Exactas, Físicas y Naturales |
| Issue Date: | 20-Jun-2012 |
| Publisher: | Academia Colombiana de Ciencias Exactas, Físicas y Naturales |
| Abstract: | En este artículo generalizamos dos resultados obtenidos por García y Stichtenoth ([G-S])y usamos estas generalizaciones para construir curvas sobre cuerpos finitos cuyo n´umero de puntos racionales es grande en comparaci´on con su g´enero. Tales curvas son obtenidas considerando p extensiones abelianas elementales del cuerpo de funciones racionales usando el operador traza TrFq/Fp. In the paper we give a generalization of two results of two results obtained by García and Stichtenoth ([G-S]) and use them of exhibit a method to construct curves over finite fields whose number of rational points is large compared to their genus. Such curves are induced by algebraic functions fields obtained from elementary abelain p-extensions of the rational function field Fq(x) using the trace operator TrFq/Fp. |
| URI: | https://repositorio.accefyn.org.co/handle/001/2800 |
| ISSN: | 0370-3908 |
| Appears in Collections: | BA. Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 8 Elementary abelian.pdf | 4.85 MB | Adobe PDF |  View/Open |
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