Error-Correcting Linear Codes Classification by Isometry and Applications /

This text offers a thorough introduction to the mathematical concepts behind the theory of error-correcting linear codes. Care is taken to introduce the necessary algebraic concepts, for instance the theory of finite fields, the polynomial rings over such fields and the ubiquitous concept of group a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Betten, Anton (Autor), Braun, Michael (Autor), Fripertinger, Harald (Autor), Kerber, Adalbert (Autor), Kohnert, Axel (Autor), Wassermann, Alfred (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Algorithms and Computation in Mathematics ; 18
Temas:
Algebra.
Algorithms.
Coding theory.
Information theory.
Signal processing.
Discrete mathematics.
Coding and Information Theory.
Signal, Speech and Image Processing .
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Linear Codes
  • Bounds and Modifications
  • Finite Fields
  • Cyclic Codes
  • Mathematics and Audio Compact Discs
  • Enumeration of Isometry Classes
  • Solving Systems of Diophantine Linear Equations
  • Linear Codes with a Prescribed Minimum Distance
  • The General Case.

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