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Introduction to Coding Theory and Algebraic Geometry

  • Book
  • © 1988

Overview

Authors:
  1. Jacobus H. Lint

    1. Dept. of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands

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    You can also search for this author in PubMed   Google Scholar

  2. Gerard Geer

    1. Mathematisch Instituut, Universiteit van Amsterdam, Amsterdam, The Netherlands

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Oberwolfach Seminars (OWS, volume 12)

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Table of contents (14 chapters)

  1. Front Matter

    Pages 1-7
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  2. Coding Theory

    1. Front Matter

      Pages 9-9
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    2. Finite fields

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 11-12

    3. Error-correcting codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 13-14

    4. Linear codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 15-16

    5. Cyclic codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 17-21

    6. Classical Goppa codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 22-24

    7. Bounds on codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 25-27

    8. Self-dual codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 28-29

    9. Codes from curves

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 30-32

  3. Back Matter

    Pages 33-33
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  4. Algebraic Geometry

    1. Front Matter

      Pages 35-35
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    2. Introduction

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 36-36

    3. Elementary concepts from algebraic geometry

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 37-44

    4. Divisors on algebraic curves

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 45-54

    5. Goppa Codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 55-65

    6. Counting points on curves over finite fields

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 66-72

    7. Shimura curves and codes

      • Jacobus H. van Lint, Gerard van der Geer
      Pages 73-81

  5. Back Matter

    Pages 82-85
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Keywords

Authors and Affiliations

  • Dept. of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands

    Jacobus H. Lint

  • Mathematisch Instituut, Universiteit van Amsterdam, Amsterdam, The Netherlands

    Gerard Geer

Bibliographic Information

  • Book Title: Introduction to Coding Theory and Algebraic Geometry

  • Authors: Jacobus H. Lint, Gerard Geer

  • Series Title: Oberwolfach Seminars

  • DOI: https://doi.org/10.1007/978-3-0348-9286-5

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag, Basel 1988

  • Softcover ISBN: 978-3-0348-9979-6Published: 05 October 2011

  • eBook ISBN: 978-3-0348-9286-5Published: 06 December 2012

  • Series ISSN: 1661-237X

  • Series E-ISSN: 2296-5041

  • Edition Number: 1

  • Number of Pages: 85

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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