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Nombre maximum de points rationnels d'une courbe sur un corps fini

M. Perret

Journal de théorie des nombres de Bordeaux (1991)

  • Volume: 3, Issue: 2, page 261-274
  • ISSN: 1246-7405

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Perret, M.. "Nombre maximum de points rationnels d'une courbe sur un corps fini." Journal de théorie des nombres de Bordeaux 3.2 (1991): 261-274. <http://eudml.org/doc/93540>.

@article{Perret1991,
author = {Perret, M.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {number of rational points; genus},
language = {fre},
number = {2},
pages = {261-274},
publisher = {Université Bordeaux I},
title = {Nombre maximum de points rationnels d'une courbe sur un corps fini},
url = {http://eudml.org/doc/93540},
volume = {3},
year = {1991},
}

TY - JOUR
AU - Perret, M.
TI - Nombre maximum de points rationnels d'une courbe sur un corps fini
JO - Journal de théorie des nombres de Bordeaux
PY - 1991
PB - Université Bordeaux I
VL - 3
IS - 2
SP - 261
EP - 274
LA - fre
KW - number of rational points; genus
UR - http://eudml.org/doc/93540
ER -

References

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  1. [1] V.G. Drinfel'd et S.G. Vladut, Number of points of an algebraic curve, Funktsional'nyi Analiz i Ego Prilozheniya17 (1983), 53-54. Zbl0522.14011MR695100
  2. [2] R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics52, Springer (1977). Zbl0367.14001MR463157
  3. [3] Y. Ihara, Some remarks on the number of rational points of algebraic curves over finite fields, Journ. Fac. Sc. Tokyo, sec. 1. A, 28 (1982), 721-724.. Zbl0509.14019MR656048
  4. [4] G. Lachaud, Les codes géométriques de Goppa, Séminaire Bourbaki 1884/85, exp. 641, Astérisque133-134 (1986), p. 189-207. Zbl0603.94010MR837220
  5. [5] G. Lachaud, Artin-Shreier curves, exponential sums and the Carlitz-Uchiyama bound for geometric codes, Journ. of Numb. Theory, vol 39, (1991), 18-40. Zbl0741.11048MR1123166
  6. [6] J. Martinet, Tours de corps de classes et estimations de discriminants, Mathematicae (1978), 65-73. Zbl0369.12007MR460281
  7. [7] M. Perret, Tours ramifiées infinies de corps de classes, Journ. of Numb. Theory, vol 38, (1991), 300-322. Zbl0741.11044MR1114481
  8. [8] M. Perret, Multiplicative character sums and Kummer coverings, Acta Arith.59 n 3 (1991), 75-86. Zbl0746.11056MR1133247
  9. [9] J.P. Serre, Groupes algebriques et corps de classes, Hermann, Paris, 1959. Zbl0097.35604MR103191
  10. [10] J.P. Serre, Zeta and L functions, Arithmetical Algebraic Geometry, Harper and Row, New York (1965), p. 82-92; = Oeuvres, t. II, n 64, p. 249-259, Springer, Berlin, 1986. Zbl0171.19602MR194396
  11. [11] J.P. Serre, Nombre de points des courbes algebriques sur Fq, Séminaire de Théorie des nombres de Bordeaux, 1982/83; = Oeuvres, t. III, n 129, p. 664-668, Springer, Berlin, 1986. Zbl0538.14016
  12. [12] J.P. Serre, cours au collège de France 1982/83 (non publié), notes de M. Waldschmidt. 
  13. [13] M.A. Tsfasman, S.G. Vladut, T. Zink, Modular curves, Shimura curves, and Goppa codes, better than the Varshamov-Gilbert bound, Math. Nachr109 (1982), p. 21-28. Zbl0574.94013MR705893
  14. [14] A. Weil, Variétés Abéliennes et courbes algébriques, Hermann, Paris, 1948. Zbl0037.16202MR29522
  15. [15] J. Wolfmann, Nombre de points rationnels sur les courbes algébriques sur les corps finis associés à des codes cycliques, Comptes Rendus de l'Académie des Sciences de Paris305, Ser. I (1987), p. 345-348. Zbl0632.14022
  16. [16] J. Wolfmann, Polynomial description of binary linear codes and related topics, à paraître au journal of AAECC, Springer. Zbl0748.94005

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