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Introduction to Coding Theory

  • J. H. van Lint

Part of the Graduate Texts in Mathematics book series (GTM, volume 86)

Table of contents

  1. Front Matter
    Pages i-xi
  2. J. H. van Lint
    Pages 1-21
  3. J. H. van Lint
    Pages 22-30
  4. J. H. van Lint
    Pages 31-41
  5. J. H. van Lint
    Pages 42-57
  6. J. H. van Lint
    Pages 58-74
  7. J. H. van Lint
    Pages 75-101
  8. J. H. van Lint
    Pages 102-117
  9. J. H. van Lint
    Pages 118-126
  10. J. H. van Lint
    Pages 127-132
  11. J. H. van Lint
    Pages 133-140
  12. J. H. van Lint
    Pages 141-154
  13. Back Matter
    Pages 155-186

About this book

Introduction

The first edition of this book was conceived in 1981 as an alternative to outdated, oversized, or overly specialized textbooks in this area of discrete mathematics-a field that is still growing in importance as the need for mathematicians and computer scientists in industry continues to grow. The body of the book consists of two parts: a rigorous, mathematically oriented first course in coding theory followed by introductions to special topics. The second edition has been largely expanded and revised. The main editions in the second edition are: (1) a long section on the binary Golay code; (2) a section on Kerdock codes; (3) a treatment of the Van Lint-Wilson bound for the minimum distance of cyclic codes; (4) a section on binary cyclic codes of even length; (5) an introduction to algebraic geometry codes. Eindhoven J. H. VAN LINT November 1991 Preface to the First Edition Coding theory is still a young subject. One can safely say that it was born in 1948. It is not surprising that it has not yet become a fixed topic in the curriculum of most universities. On the other hand, it is obvious that discrete mathematics is rapidly growing in importance. The growing need for mathe­ maticians and computer scientists in industry will lead to an increase in courses offered in the area of discrete mathematics. One of the most suitable and fascinating is, indeed, coding theory.

Keywords

code coding coding theory discrete mathematics

Authors and affiliations

  • J. H. van Lint
    • 1
  1. 1.Department of MathematicsEindhoven University of TechnologyEindhovenThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-00174-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-00176-9
  • Online ISBN 978-3-662-00174-5
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site