Algebraic Function Fields and Codes

  • Henning Stichtenoth

Part of the Graduate Texts in Mathematics book series (GTM, volume 254)

About this book

Introduction

The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of the theory of function fields.

This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basic material. Other exercises are more advanced and cover additional material which could not be included in the text.

This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography, coding theory and electrical engineering.

Keywords

Algebra Algebraische Funktionenkörper Codierungstheorie Funktionen algebraic curves algebraic function fields algebraic geometric codes coding theory computer science cryptography electrical engineering geometry information linear optimizatio

Authors and affiliations

  • Henning Stichtenoth
    • 1
  1. 1.Sabanci UniversityOrhanliTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-76878-4
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-76877-7
  • Online ISBN 978-3-540-76878-4
  • Series Print ISSN 0072-5285
  • About this book