Error-correcting linear codes : classification by isometry and applications
著者
書誌事項
Error-correcting linear codes : classification by isometry and applications
（Algorithms and computation in mathematics, v. 18）
Springer, c2006
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注記
Includes bibliographical references (p. [771]-783) and index
内容説明・目次
内容説明
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.
目次
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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