Les codes géométriques de Goppa
Séminaire Bourbaki : volume 1984/85, exposés 633-650, Astérisque, no. 133-134 (1986), Exposé no. 641, 19 p. 
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     title = {Les codes g\'eom\'etriques de {Goppa}},
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Lachaud, Gilles. Les codes géométriques de Goppa, dans Séminaire Bourbaki : volume 1984/85, exposés 633-650, Astérisque, no. 133-134 (1986), Exposé no. 641, 19 p. http://archive.numdam.org/item/SB_1984-1985__27__189_0/

[Ch] Chevalley, C., Introduction to the theory of algebraic functions of one variable, Math. Surveys, VI, Providence, A.M.S., 1951 | MR | Zbl

[Ha] Hartshorne, R., Algebraic Geometry, Graduate texts in Math., n°52, Springer, New York, 1977 | MR | Zbl

[Lan] Lang, S., Introduction to Algebraic and Abelian functions, 2d ed., Graduate texts in Math., n°89, Springer, New York, 1982 | MR | Zbl

[Se 1] Serre, J.P., Groupes algébriques et corps de classes, A.S.I. 1254, Pub. Math. Univ. Nancago VII, Hermann, Paris, 1959 | MR | Zbl

[Sh] Shafarevich, I. R., Basic Algebraic Geometry, Springer, Berlin, 1977 | MR | Zbl

[We] Weil, A., Basic Number Theory, 3rd edition, Grund. der Math. Wiss., Bd.144, Springer, New York, 1974. | MR | Zbl

[B1] Blake, I. F., Algebraic coding Theory : History and Development, Dowden, Hutchinson & Ross, Stroudsburg, 1973 | MR | Zbl

[ME] Mceliece, R. J., The theory of information and coding, Encyclopedia of Math., vol.,3, Reading, Addison-Wesley, 1977 | MR | Zbl

[MW-S] Macwilliams, F. J., Sloane, N. J. A., The theory of Error-Correcting codes, North-Holland, Amsterdam, 1977 | Zbl

[VL] Lint, J. H. Van, Introduction to Coding Theory, Graduate texts in Math. 86, Springer, Berlin, 1982. | MR | Zbl

[Bo] Bombieri, E., Counting points on curves over finite fields (d'après S.A. Stepanov), Séminaire BOURBAKI, 25e année, 1972/73, n°430, Lect.Notes in Math. n°383, Springer, 1974 | Numdam | MR | Zbl

[Ih] Ihara, Y., Some remarks on the number of rational points of algebraic curves over finite fields, J.Fac.Sci. Univ. Tokyo, I A, 28 (1981), 721-724 | MR | Zbl

[Laz] Lazard, D., Primitives des fonctions élémentaires (d'après Risch et Davenport), Séminaire BOURBAKI, 36e annnée, 1983/84, n°627, Astérisque, S.M.F., Paris, 1984 | Numdam | Zbl

[Se 2] Serre, J. P., Sur le nombre des point rationnels d'une courbe algébrique sur un corps fini, C.R.Acad.Sc. Paris, 296, (1983), 397-402 | MR | Zbl

[Se 3] Serre, J. P., Nombre de points des courbes algébriques sur Fq, Sém.Th. Nombres, Bordeaux, (1982-1983), exp.n°22 | MR | Zbl

[Se 4] Serre, J. P., Résumé du cours de l'année 1984/1984, Annuaire du Collège de France, Paris, 1985

[Ta] Tate, J., Residues of differentials on curves, Ann.Sc. Ec.Norm.Sup. (4), 1 (1966), 149-159. | Numdam | MR | Zbl

[Br] Broué, M., Codes Correcteurs d'Erreurs Auto-orthogonaux sur le Corps à Deux Eléments et Formes Quadratiques Entières Définies Positives à discriminant + 1, Discrete Math.17 (1977), 247-269 | MR | Zbl

[Ch-Hs] Chen, C. L., Hsiao, M. V., Error-Correcting Codes for Semiconductor Memory, I.B.M. J.Res. Develop.28 (1984), 124-134

[De-Pi] Delsarte, P., Piret, P., Algebraic constructions of Shannon codes for regular channels, I.E.E.E. Trans. Inf. Theory 28 (1982), 593-599 | MR | Zbl

[Dr-Mi] Driencourt, Y., Michon, J. F., Binary Elliptic codes, prépublication, A.T.P. 399 du C.N.R.S.

[Go 1] Goppa, V. D., A Rational Representation of Codes and (L,g)-Codes, Problemy Peredachi Informatsii 3 (1971), 41-49;=Probl. Inform. Transmission 3 (1971), 223-229 | MR | Zbl

[Go 2] Goppa, V. D., Decoding and Diophantine approximation, Problemy Uprav. i Teor. Informatsii 5 (1976), 195-206; = Problems of Control and Information Theory 5 (1976), 1-12 | MR | Zbl

[Go 3] Goppa, V. D., Codes on algebraic curves, Dokl. Akad. Nauk, S.S.S.R., 259 (1981), 1289-1290, = Soviet Math. Dokl. 24 (1981), 170-172 | MR | Zbl

[Go 4] Goppa, V. D., Algebraico-Geometric Codes, Izv. Akad. Nauk, S.S.S.R., 46 (1982); = Math. U.S.S.R. Izvestiya 21 (1983), 75-91 | MR | Zbl

[K-T-V] Katsman, G. L., Tsfasman, M. A., Vladut, S. G., Modular Curves and Codes with a polynomial construction, I.E.E.E. Trans. Inf. Theory, 30 (1984), 353-355 | MR | Zbl

[Ma] Manin, Yu. I., What is the maximum number of points on a curve over F2 ? , J.Fac.Sci. Univ. Tokyo,I A, 28, (1981), 715-720 | MR | Zbl

[Ma-V1] Manin, Yu. I., Vladut, S. G., Codes linéaires et courbes modulaires (en russe), Sovr. Prob. Mat., VINITI, Moscou, 1984

[Mi] Michon, J. F., Les codes Géométriques de V.D.Goppa, Sém. Th. Nombres Bordeaux (1983-1984) | MR

[SKHN] Sugiyama, Y., Kasahara, M., Hirasawa, S., Namekawa, T., Further results on Goppa codes and their applications to constructing efficient binary codes, I.E.E.E. trans. Inf. Theory 22 (1976), 518-525 | MR | Zbl

[Ts] Tsfasman, M. A., Goppa codes that are better than Varshamov-Gilbert bound, Prob. Peredachi Inform. 18 (1982), 3-6 ; = Probl. Inform. Transmission, 18 (1982), 163-166 | MR | Zbl

[Ts-Vl-Zi] Tsfasman, M. A., Vladut, S. G., Zink, Th., Modular Curves, Shimura Curves, and Goppa codes, better than Varshamov-Gilbert bound, Math. Nachr. 109 (1982), 21-28 | MR | Zbl

[Vl-Dr] Vladut, S. G., Drinfeld, V. G., Number of Points of an Algebraic Curve, Funktsional'-nyi Analiz i Ego Prilozhenia 17 (1983), 68-69; = Functional Analysis, 17 (1983), 53-54. | MR | Zbl