Algebraic Function Fields and Codes (Graduate Texts in Mathematics 254 2nd ed. 2008)

Algebraic Function Fields and Codes (Graduate Texts in Mathematics 254 2nd ed. 2008)

By: Henning Stichtenoth (author)Hardback

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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.

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

  • ISBN13: 9783540768777
  • Format: Hardback
  • Number Of Pages: 360
  • ID: 9783540768777
  • weight: 1550
  • ISBN10: 3540768777
  • edition: 2nd ed. 2008

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