Error-correcting linear codes. Classification by isometry and applications

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Author(s): Betten A. et al.
Series: Algorithms and computation in mathematics 18
Publisher: Springer
Year: 2006

Language: English
Pages: 798
City: Berlin
Tags: code linéaire.;code cyclique.;Analyse combinatoire.;Codes correcteurs d'erreurs (Theorie de l'information);Codage.;Codes correcteurs d'erreurs (théorie de l'information);Corps finis.;Actions de groupes (mathématiques)

Content: 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.