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Finite Fields for Computer Scientists and Engineers

  • Robert J. McEliece

Table of contents

  1. Front Matter
    Pages i-xi
  2. Robert J. McEliece
    Pages 1-2
  3. Robert J. McEliece
    Pages 3-12
  4. Robert J. McEliece
    Pages 13-18
  5. Robert J. McEliece
    Pages 19-28
  6. Robert J. McEliece
    Pages 29-53
  7. Robert J. McEliece
    Pages 55-73
  8. Robert J. McEliece
    Pages 75-96
  9. Robert J. McEliece
    Pages 97-121
  10. Robert J. McEliece
    Pages 123-149
  11. Robert J. McEliece
    Pages 151-167
  12. Robert J. McEliece
    Pages 169-200
  13. Back Matter
    Pages 201-207

About this book

Introduction

This book developed from a course on finite fields I gave at the University of Illinois at Urbana-Champaign in the Spring semester of 1979. The course was taught at the request of an exceptional group of graduate students (includ­ ing Anselm Blumer, Fred Garber, Evaggelos Geraniotis, Jim Lehnert, Wayne Stark, and Mark Wallace) who had just taken a course on coding theory from me. The theory of finite fields is the mathematical foundation of algebraic coding theory, but in coding theory courses there is never much time to give more than a "Volkswagen" treatment of them. But my 1979 students wanted a "Cadillac" treatment, and this book differs very little from the course I gave in response. Since 1979 I have used a subset of my course notes (correspond­ ing roughly to Chapters 1-6) as the text for my "Volkswagen" treatment of finite fields whenever I teach coding theory. There is, ironically, no coding theory anywhere in the book! If this book had a longer title it would be "Finite fields, mostly of char­ acteristic 2, for engineering and computer science applications. " It certainly does not pretend to cover the general theory of finite fields in the profound depth that the recent book of Lidl and Neidereitter (see the Bibliography) does.

Keywords

Norm Signal communication computer computer science mathematics science

Authors and affiliations

  • Robert J. McEliece
    • 1
  1. 1.California Institute of TechnologyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-1983-2
  • Copyright Information Springer-Verlag US 1987
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9185-5
  • Online ISBN 978-1-4613-1983-2
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site