Error-Correcting Linear Codes: Classification by Isometry and Applications

Error-Correcting Linear Codes: Classification by Isometry and Applications
ISBN-10
3540317031
ISBN-13
9783540317036
Category
Mathematics
Pages
798
Language
English
Published
2006-09-21
Publisher
Springer Science & Business Media
Authors
Michael Braun, Adalbert Kerber, Anton Betten

Description

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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