Division Algorithm and Construction of Curves with Many Points

vol.47 issue2

Definable Group Extensions and o-Minimal Group Cohomology via Spectral Sequences

$Description of the Nikolski\u\i-Besov Class Decreasing its Smoothness Parameter using Weak Fractional Derivatives$

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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Abstract

GARZON, ÁLVARO and NAVARRO, HORACIO. Division Algorithm and Construction of Curves with Many Points. Rev.colomb.mat. [online]. 2013, vol.47, n.2, pp.131-147. ISSN 0034-7426.

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.

Keywords : Algebraic curves; Finite fields; Rational points; Kummer extensions.

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