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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Garzón R, Alvaro | - |
| dc.contributor.author | Arnoldo, Teherán Herrera | - |
| dc.date.accessioned | 2024-01-31T02:43:59Z | - |
| dc.date.available | 2024-01-31T02:43:59Z | - |
| dc.date.issued | 2012-06-20 | - |
| dc.identifier.issn | 0370-3908 | spa |
| dc.identifier.uri | https://repositorio.accefyn.org.co/handle/001/2800 | - |
| dc.description.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. | spa |
| dc.description.abstract | 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. | eng |
| dc.format.mimetype | application/pdf | spa |
| dc.language.iso | spa | spa |
| dc.publisher | Academia Colombiana de Ciencias Exactas, Físicas y Naturales | spa |
| dc.rights | La revista de la Academia se distribuye con el modelo de acceso abierto y la licencia Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International con el fin de contribuir a la visibilidad, el acceso y la difusión de la producción científica. | spa |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | spa |
| dc.title | P-EXTENSIONES ABELIANAS ELEMENTALES Y CURVAS CON MUCHOS PUNTOS | spa |
| dc.title | ELEMENTARY ABELIAN P-EXTENSIONS AND CURVES WITH MANY POINTS | eng |
| dc.type | Artículo de revista | spa |
| dcterms.audience | Estudiantes, Profesores, Comunidad científica colombiana. | spa |
| dcterms.references | [G-S] Garcia and Stichtenoth. Elementary abelian p- extension of algebraic functions fileds. Manuscripta mathematica, Springer-Verlag. pag 67-79, 1991. | spa |
| dcterms.references | [L-N] Lidl Rudolf and Niederreiter Harald. Introduction to finite and their applications. Cambridge university press, 1994. | spa |
| dcterms.references | [Go] V.D. Goppa. Copes on algebraic curves. Sov Math. Doki 24 (1981), 170-172. | spa |
| dcterms.references | [La] Lang Serge, Algebra, Adisson Wesley Publishing Company, 1970. | spa |
| dcterms.references | [Ka] Kani Ernesy, Relations between the genera and between the Hasse-Witt invariants of Galois covering of curves, Canad. Math. Bull, Vol 28, pag 31-327, 1985. | spa |
| dcterms.references | [N-CH] Harald Niederreiter, Huaxiong Wanf and Chaoping Xing, Function Fields over Finite Fields and their applicatios to Cryptography. Topics in Geometry, Coding Theory and Cryptography, Springer-Verlag. 2007. | spa |
| dcterms.references | [I] Ihara Y. Some remarks on number of rational points of algebraic curves over finite fields. J Fac Sci Tokyio 28(1981), p 721-724. | spa |
| dcterms.references | [Ro] Roman Steve. Field Theory. Springer-Verlag, 1991 . | spa |
| dcterms.references | [ST] Stichtenoth Henning. Algebraic funtions field and codes. Springer-Verlag, 1993. | spa |
| dcterms.references | [VV] Van Der Geer Gerard and Van Der Vlugt Marcel. Tables of curves with many points [Online], http://www.science.uva.nl/geer. | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.type.driver | info:eu-repo/semantics/article | spa |
| dc.type.version | info:eu-repo/semantics/publishedVersion | spa |
| dc.rights.creativecommons | Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0) | spa |
| dc.subject.proposal | Cuerpos finitos | spa |
| dc.subject.proposal | Algebraic curves | eng |
| dc.subject.proposal | Cuerpos algebraicos de funciones | spa |
| dc.subject.proposal | Algebraic Function Fields | eng |
| dc.subject.proposal | p-extensiones abelianas elementales | spa |
| dc.subject.proposal | Abelain p Extensions | eng |
| dc.subject.proposal | puntos racionales | spa |
| dc.subject.proposal | Rational Points | eng |
| dc.type.coar | http://purl.org/coar/resource_type/c_6501 | spa |
| dc.relation.ispartofjournal | Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales | spa |
| dc.relation.citationvolume | 36 | spa |
| dc.relation.citationstartpage | 243 | spa |
| dc.relation.citationendpage | 252 | spa |
| dc.contributor.corporatename | Academia Colombiana de Ciencias Exactas, Físicas y Naturales | spa |
| dc.identifier.eissn | 2382-4980 | spa |
| dc.relation.citationissue | 139 | spa |
| dc.type.content | Text | spa |
| dc.type.redcol | http://purl.org/redcol/resource_type/ART | spa |
| oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | spa |
| 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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