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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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Bibliographic Details
Main Authors: Betten, Anton, Braun, Michael (Author), Fripertinger, Harald (Author), Kerber, Adalbert (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2006, 2006
Edition:1st ed. 2006
Series:Algorithms and Computation in Mathematics
Subjects:
Coding And Information Theory
Coding Theory
Algorithms
Signal, Speech And Image Processing
Information Theory
Algebra
Discrete Mathematics
Signal Processing
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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