Error-correcting linear codes : classification by isometry and applications

This text offers a thorough introduction to the mathematical concepts behind the theory of error-correcting linear codes. Care is taken to introduce the necessary algebraic concepts, for instance the theory of finite fields, the polynomial rings over such fields and the ubiquitous concept of group a...

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Autors principals: Betten, Anton, Kerber, Adalbert, 1939- (Autor), Braun, Michael, 19..- (Autor), Fripertinger, Harald, 1965- (Autor), Kohnert, Axel, 19..- (Autor), Wassermann, Alfred, 1963- (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edició:1st ed. 2006.
Col·lecció:Algorithms and computation in mathematics 18
Matèries:
Accés en línia:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Description d'après consultation du 24 mars 2011
Autres contributeurs : Adalbert Kerber, Axel Kohnert, Alfred Wassermann (auteurs)
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Error-correcting linear codes, classification by isometry and applications, Anton Betten, Michael Braun, Harald Fripertinger [et al.], 2006, Berlin, Springer, 1 vol. (XXIX-798 p.), Algorithms and computation in mathematics, 3-540-28371-4
Taula de continguts:
  • 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.
  • 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