Algebraic Function Fields and Codes (Graduate Texts in Mathematics No. 254 2nd ed. 2008)

Algebraic Function Fields and Codes (Graduate Texts in Mathematics No. 254 2nd ed. 2008)

By: Henning Stichtenoth (author)Paperback

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Description

This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.

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Contents

Foundations of the Theory of Algebraic Function Fields.- Algebraic Geometry Codes.- Extensions of Algebraic Function Fields.- Differentials of Algebraic Function Fields.- Algebraic Function Fields over Finite Constant Fields.- Examples of Algebraic Function Fields.- Asymptotic Bounds for the Number of Rational Places.- More about Algebraic Geometry Codes.- Subfield Subcodes and Trace Codes.

Product Details

  • publication date: 20/11/2008
  • ISBN13: 9783540768777
  • Format: Paperback, Hardback
  • Number Of Pages: 374
  • ID: 9783540768777
  • weight: 1550
  • ISBN10: 3540768777
  • edition: 2nd ed. 2008

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