Error-Correcting Linear Codes: Classification by Isometry and Applications (Algorithms and Computation in Mathematics)
Language: English
Published by Springer, 2006
Series: Book 10 of 24 - Algorithms and Computation in Mathematics
- Hardcover
- New
Seller: The Book Spot, Sioux Falls, MN, U.S.A.The Book Spot
AbeBooks seller since February 5, 2013
Condition: New
£ 124.34
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- Title
- Error-Correcting Linear Codes: Classification by Isometry and Applications (Algorithms and Computation in Mathematics)
- Author
- Betten, Anton, Braun, Michael, Fripertinger, Harald, Kerber,
- Publisher
- Springer
- Publication year
- 2006
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3540283714
- ISBN 13
- 9783540283713
- Series
- Book 10 of 24: Algorithms and Computation in Mathematics
"Synopsis" may belong to another edition of this title.
From the Back Cover
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 actions that allows the classification of codes by isometry. The book provides in-depth coverage of important topics like cyclic codes and the coding theory used in compact disc players.
The final four chapters cover advanced and algorithmic topics like the classification of linear codes by isometry, the enumeration of isometry classes, random generation of codes, the use of lattice basis reduction to compute minimum distances, the explicit construction of codes with given parameters, as well as the systematic evaluation of representatives of all isometry classes of codes. Up until now, these advanced topics have only been covered in research papers.
The present book provides access to these results at a level which is suitable for graduate students of mathematics, computer science and engineering as well as for researchers.
"About the title" may belong to another edition of this title.
The Book Spot
Sioux Falls, MN, U.S.A.
AbeBooks seller since February 5, 2013
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