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Error-Correcting Linear Codes. Mit CD-ROM
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Error-Correcting Linear Codes. Mit CD-ROM

Classification by Isometry and Applications
 Book w. online files/update
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ISBN-13:
9783540283713
Einband:
Book w. online files/update
Erscheinungsdatum:
29.08.2006
Seiten:
798
Autor:
Anton Betten
Gewicht:
1359 g
Format:
243x167x52 mm
Serie:
18, Algorithms and Computation in Mathematics
Sprache:
Englisch
Beschreibung:

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.
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.
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.

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