Chapter 2. Algebraic Coding Theory

  1. André Neubauer1,
  2. Jürgen Freudenberger2 and
  3. Volker Kühn3

Published Online: 2 OCT 2007

DOI: 10.1002/9780470519837.ch2

Coding Theory: Algorithms, Architectures, and Applications

Coding Theory: Algorithms, Architectures, and Applications

How to Cite

Neubauer, A., Freudenberger, J. and Kühn, V. (2007) Algebraic Coding Theory, in Coding Theory: Algorithms, Architectures, and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470519837.ch2

Author Information

  1. 1

    Münster University of Applied Sciences, Germany

  2. 2

    HTWG Konstanz, University of Applied Sciences, Germany

  3. 3

    University of Rostock, Germany

Publication History

  1. Published Online: 2 OCT 2007
  2. Published Print: 5 OCT 2007

ISBN Information

Print ISBN: 9780470028612

Online ISBN: 9780470519837

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Keywords:

  • algebraic coding theory;
  • channel codes and code parameters;
  • Hamming distance;
  • decoding strategy and MED (minimum error probability decoding);
  • dual code and MacWilliams identity;
  • Gilbert–Varshamov bound;
  • cyclic code and linear block code

Summary

This chapter contains sections titled:

  • Fundamentals of Block Codes

  • Linear Block Codes

  • Cyclic Codes

  • Summary