Coding Theory and Algebraic Geometry Proceedings of the Internationa

About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of

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1518

Lecture Notes in Mathematics Editors: A. Dold, Heidelberg B. Eckmann, ZUrich F. Takens, Groningen

1518

H. Stichtenoth

M. A. Tsfasman (Eds.)

Coding Theory and Algebraic Geometry Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest

Editors Henning Stichtenoth Fachbereich 6 - Mathematik und Informatik Universitat GHS Essen Universitatsstr, 3, W-4300 Essen 1, Fed. Rep. of Germany Michael A. Tsfasman Institute of Information Transmission (IPP!) 19, Ermolovoi st., Moscow, GSP 4, 101447, Russia

Mathematics Subject Classification (1991): 14-06, 94-06, 11-06

ISBN 3-540-55651-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-55651-6 Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1992 Printed in Germany Typesetting: Camera ready by author/editor Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 46/3140-543210 - Printed on acid-free paper

Foreword The workshop" Algebraic Geometry and Coding Theory - 3" organized by the Institute of Information Transmission (Moscow), University of Essen, Equipe Arithmetique et Theorie de l'Information de C.N.R.S. (Marseille-Luminy), and Group d'Etude du Codage de Toulon took place in the Centre International de Rencontres Mathematiques, June 17-21, 1991. The workshop was a continuation of AGCT-1 and AGCT-2 that took place in 1987 and 1989, respectively. It is to be followed by AGCT-4 in 1993, etc., each time held in C.I.R.M. The list of participants follows. It is our pleasure to thank the staff of C.I.R.M. for their hospitality, the participants for their interest, all supporting organizations for their financial support, and SpringerVerlag for the Proceedings.

Organizers, H.Stichtenoth M.Tsfasman G.Lachaud J.Wolfmann

AGCT 3 - List of Participants Aubry, Yves (Marseille) Blahut, Richard E. (Owego, N.Y.) Boutot, Jean-Francois (Strasbourg) Bruen, Aiden (London, Ontario) Carral, Michel (Toulouse) Chasse, Guy (Issy les Moulineaux) Cherdieu, Jean-Pierre (Guadeloupe) Cougnard, Jean (Besancon) Deschamps, Mireille (Paris) Driencourt, Yves (Marseille) Duursma, Iwan M. (Eindhoven) Ehrhard, Dirk (Dusseldorf) Gillot, Valerie (Toulon) Guillot, Ph. (Genevilliers) Hansen, Johan P. (Aarhus) Harari, Sami (Toulon) Hassner, Martin (San Jose, Ca.) Helleseth, Tor (Bergen) Heholdt, Tom (Lyngby) Katsman, Gregory (Moscou) Kumar, Vijay (Los Angeles)