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portada Error-Correcting Linear Codes: Classification by Isometry and Applications (Algorithms and Computation in Mathematics, 18)
Type
Physical Book
Publisher
Author
Language
English
Pages
798
Format
Paperback
ISBN13
9783642421815
Edition No.
2006th

Error-Correcting Linear Codes: Classification by Isometry and Applications (Algorithms and Computation in Mathematics, 18)

Anton Betten; Michael Braun; Harald Fripertinger; Adalbert Kerber; Axel Kohnert; Alfred Wassermann (Author) · Springer · Paperback

Error-Correcting Linear Codes: Classification by Isometry and Applications (Algorithms and Computation in Mathematics, 18) - Anton Betten; Michael Braun; Harald Fripertinger; Adalbert Kerber; Axel Kohnert; Alfred Wassermann

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Synopsis "Error-Correcting Linear Codes: Classification by Isometry and Applications (Algorithms and Computation in Mathematics, 18)"

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.

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