Error-Correcting Linear Codes: Classification by Isometry and Applications / Edition 1

Error-Correcting Linear Codes: Classification by Isometry and Applications / Edition 1

by Anton Betten, Michael Braun, Harald Fripertinger, Adalbert Kerber
     
 

ISBN-10: 3540283714

ISBN-13: 9783540283713

Pub. Date: 10/05/2006

Publisher: Springer Berlin Heidelberg

This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail.

Overview

This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic 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.

Product Details

ISBN-13:
9783540283713
Publisher:
Springer Berlin Heidelberg
Publication date:
10/05/2006
Series:
Algorithms and Computation in Mathematics Series, #18
Edition description:
2006
Pages:
798
Product dimensions:
9.21(w) x 6.14(h) x 1.75(d)

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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