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