Algebraic Function Fields and Codes

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  • Algebraic Function Fields and Codes Book Detail

  • Author : Henning Stichtenoth
  • Release Date : 2009-02-11
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 360
  • ISBN 13 : 3540768785
  • File Size : 39,39 MB

Algebraic Function Fields and Codes by Henning Stichtenoth PDF Summary

Book 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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This book has two objectives. The first is to fill a void in the existing mathematical literature by providing a modern, self-contained and in-depth exposition