Self-dual codes and invariant theory
One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of thi...
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Auteurs principaux : | , , |
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Autres auteurs : | |
Format : | Livre |
Langue : | anglais |
Titre complet : | Self-dual codes and invariant theory / Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane |
Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, 2006 Springer e-books |
Collection : | Algorithms and computation in mathematics ; 17 |
Titre de l'ensemble : | Algorithms and computation in mathematics vol. 17 |
Disponibilité : | L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition |
Contenu : | The Type of a Self-Dual Code. Weight Enumerators and Important Types. Closed Codes. The Category Quad. The Main Theorems. Real and Complex Clifford Groups. Classical Self-Dual Codes. Further Examples of Self-Dual Codes. Lattices. Maximal Isotropic Codes and Lattices. Extremal and Optimal Codes. Enumeration of Self-Dual Codes. Quantum Codes |
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Documents associés : | Autre format:
Self-dual codes and invariant theory |
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