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title:(Bounding AND the AND number AND of AND points AND on AND a AND curve AND using AND a AND generalization AND of AND Weierstrass AND semigroups)

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1 Preprint article

Bounding the number of points on a curve using a generalization of Weierstrass semigroups

In this article we use techniques from coding theory to derive upper bounds for the number of rational places of the function field of an algebraic curve defined over a finite field. The used techniques yield upper bounds if the (generalized) Weierstrass semigroup [P. Beelen, N. Tuta\c{s

Year: 2012

Language: Undetermined

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2 Journal article

Bounding the number of points on a curve using a generalization of Weierstrass semigroups

In this article we use techniques from coding theory to derive upper bounds for the number of rational places of the function field of an algebraic curve defined over a finite field. The used techniques yield upper bounds if the (generalized) Weierstrass semigroup (J Pure Appl Algebra 207(2

Year: 2013

Language: English

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3 Conference paper

Bounding the number of points on a curve using a generalization of Weierstrass semigroups

Beelen, Peter; Ruano, Diego

Proceedings of Wcc — 2011

In [5] an upper bound for the number of points on an al- gebraic curve dened over a nite eld was derived. In this article we generalize their result by considering Weierstrass groups of several points simultaneously.

Year: 2011

Language: English

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