Algorithme de Brill-Noether et codes de Goppa

D. Le Brigand; J.J. Risler

Bulletin de la Société Mathématique de France (1988)

  • Volume: 116, Issue: 2, page 231-253
  • ISSN: 0037-9484

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Le Brigand, D., and Risler, J.J.. "Algorithme de Brill-Noether et codes de Goppa." Bulletin de la Société Mathématique de France 116.2 (1988): 231-253. <http://eudml.org/doc/87554>.

@article{LeBrigand1988,
author = {Le Brigand, D., Risler, J.J.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {rational divisor; Goppa codes; Brill-Noether algorithm; finite field},
language = {fre},
number = {2},
pages = {231-253},
publisher = {Société mathématique de France},
title = {Algorithme de Brill-Noether et codes de Goppa},
url = {http://eudml.org/doc/87554},
volume = {116},
year = {1988},
}

TY - JOUR
AU - Le Brigand, D.
AU - Risler, J.J.
TI - Algorithme de Brill-Noether et codes de Goppa
JO - Bulletin de la Société Mathématique de France
PY - 1988
PB - Société mathématique de France
VL - 116
IS - 2
SP - 231
EP - 253
LA - fre
KW - rational divisor; Goppa codes; Brill-Noether algorithm; finite field
UR - http://eudml.org/doc/87554
ER -

References

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  1. [A] ABYANKHAR (S.S.). — Historical ramblings in algebraic geometry and related algebra, pp. 409-448. — Amer. Math. Monthly, 1976. Zbl0339.14001MR53 #5581
  2. [B] BEAUVILLE (A.). — Surfaces algébriques complexes, [Astérisque, n° 54], S.M.F., 1978. Zbl0394.14014MR58 #5686
  3. [C] CHEVALLEY (C.). — Introduction to the theory of algebraic functions. — Amer. Math. Soc., 1951. Zbl0045.32301MR13,64a
  4. [D-M] DRIENCOURT (Y.) et MICHON (J.F.). — Rapport sur les codes, Univ. Aix-Marseille II et CIRM-Univ. Paris 7, Octobre 1986. 
  5. [F] FULTON (W.). — Algebraic curves, Lectures Notes, Benjamin, 1969. Zbl0181.23901
  6. [G1] GOPPA (V.D.). — Algebraico-Geometric Codes, Math. USSR Izv., t. 21, 1983, p. 75-91. Zbl0522.94013
  7. [G2] GOPPA (V.D.). — Codes and information, Russian Math. Surveys, t. 24, 1984, p. 387-141. Zbl0578.94011MR86a:94011
  8. [LB] LE BRIGAND (D.). — A (32, 17, 14)-code coming from a singular curve, à paraître dans la Revue du Signal. 
  9. [MW-S] MACWILLIAMS (F.J.) and SLOANE (N.J.A.). — The theory of error-correcting codes. — North-Holland, Amsterdam, 1977. Zbl0369.94008
  10. [Se] SERRE (J.P.). — Résumé du cours de l'année 1984-1985. — Paris, Collège de France, 1985. 
  11. [Sh] SHAFAREVICH (I.R.). — Basic algebraic geometry. — Springer-Verlag, 1977. Zbl0362.14001MR56 #5538
  12. [VM] VLADUT (S.G.) et MANIN (Yu.I.). — Codes linéaires et courbes modulaires, [traduction française par DEZA (M) et LE BRIGAND (D.)], Juin 1985, Publ. de l'Univ. P. et M. Curie, n° 72. 
  13. [W] WALKER (R.J.). — Algebraic curves. — Springer-Verlag, 1978. Zbl0399.14016MR80c:14001

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