Coding Theory and Algebraic Geometry

Proceedings of the International Workshop held in Luminy, France, June 17–21, 1991

  • Editors
  • Henning Stichtenoth
  • Michael A. Tsfasman

Part of the Lecture Notes in Mathematics book series (LNM, volume 1518)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Henning Stichtenoth, Michael A. Tsfasman
    Pages 1-3
  3. Gerhard Frey, Marc Perret, Henning Stichtenoth
    Pages 26-32
  4. Arnaldo Garcia, R. F. Lax
    Pages 33-42
  5. Johan P. Hansen
    Pages 63-81
  6. Gregory L. Katsman, Michael A. Tsfasman, Serge G. Vladut
    Pages 82-98
  7. Kyeongcheol Yang, P. Vijay Kumar
    Pages 99-107
  8. Boris È. Kunyavskii
    Pages 108-121
  9. Jens Peter Pedersen
    Pages 122-131
  10. Igor E. Shparlinski, Michael A. Tsfasman, Serge G. Vladut
    Pages 145-169
  11. Philip Stokes
    Pages 170-177
  12. Michael A. Tsfasman
    Pages 178-192
  13. Conny Voss
    Pages 193-198
  14. Back Matter
    Pages 225-228

About these proceedings

Introduction

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 research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings.

Keywords

Extension algebraic varieties coding theory error-correcting code finite field

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0087986
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-55651-0
  • Online ISBN 978-3-540-47267-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book