Error-Correcting Linear Codes
Classification by Isometry and Applications
This text offers an introduction to error-correcting linear codes. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. It is based on the successful German edition. The relevant algebraic concepts like finite fields and group actions are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically with or without a prescribed automorphism group.
| Autor: | Betten, Anton Braun, Michael Fripertinger, Harald Kerber, Adalbert Kohnert, Axel Wassermann, Alfred |
|---|---|
| ISBN: | 9783540283713 |
| Sprache: | Englisch |
| Seitenzahl: | 798 |
| Produktart: | Gebunden |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 29.08.2006 |
| Untertitel: | Classification by Isometry and Applications |
| Schlagworte: | Algebra Computer algorithms coding theory combinatorics computer science error-correcting codes finite field linear codes |
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