Division algorithm and construction of curves with many points
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.
- Autores:
-
Garzón, Álvaro
Navarro, Horacio
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2013
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/49339
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/49339
http://bdigital.unal.edu.co/42796/
- Palabra clave:
- Curvas algebraicas
campos finitos
puntos racionales
extensiones de Kummer
14G05
14H50
Algebraic curves
Finite fields
Rational points
Kummer extensions
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | 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. |
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