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Synopsis
A fascinating branch of mathematics since antiquity, the geometry of curves has been extensively developed and become highly abstract. Recently links have been made with the subject of error correction, leading to the creation of geometric Goppa codes, a new and important area of coding theory. This book is an expanded and updated version of one part of the author's successful book Error-Correcting Codes and Finite Fields. Here he gives an elementary introduction to Goppa codes and includes many examples, calculations, and applications. The first part of the book emphasizes motivations, giving precedence to applications over proofs. The second part then provides the formal theory, with some concepts and proofs simplified without sacrificing rigor.
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About the Author
Oliver Pretzel is at Imperial College.
Review
The text is written in an approachable style.
' So, to learn enough algebraic geometry to understand Goppa's codes, a student could take this book and study it with advantage...gives any student an excellent start' Bulletin London Mathematical Society
"About this title" may belong to another edition of this title.
- PublisherClarendon Press
- Publication date1998
- ISBN 10 0198500394
- ISBN 13 9780198500391
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages208
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