Bounding the number of <mml:math altimg="si10.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:math>-rational places in algebraic function fields using Weierstrass semigroups-Reference-Cited by-同舟云学术

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Bounding the number of Fq-rational places in algebraic function fields using Weierstrass semigroups

Published:2009-06 Issue:6 Volume:213 Page:1152-1156
ISSN:0022-4049
Container-title:Journal of Pure and Applied Algebra
language:en
Short-container-title:Journal of Pure and Applied Algebra

Author:

Geil Olav,Matsumoto Ryutaroh

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference10 articles.

1. On the asymptotic behaviour of some towers of function fields over finite fields;Garcia;J. Number Theory,1996

2. G. van der Geer, M. van der Vlugt, Tables of curves with many points, (November 17, 2007) http://www.science.uva.nl/~geer/tables-mathcomp18.pdf

3. Algebraic Geometry Codes;Høholdt,1998

4. Places of degree one in function fields over finite fields;Lewittes;J. Pure Appl. Algebra,1990

5. Nivaldo Medeiros, homepage http://w3.impa.br/nivaldo/algebra/semigroups/ (September 26, 2008)

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1. Triples of rational points on the Hermitian curve and their Weierstrass semigroups;Journal of Pure and Applied Algebra;2021-08

2. Weierstrass semigroup at $$m+1$$ rational points in maximal curves which cannot be covered by the Hermitian curve;Designs, Codes and Cryptography;2020-04-27

3. Ideals of Numerical Semigroups and Error-Correcting Codes;Symmetry;2019-11-14

4. Weierstrass points on Kummer extensions;Advances in Geometry;2018-07-20

5. Non-special subsets of the set of points of a curve defined over a finite field;Designs, Codes and Cryptography;2015-07-18

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