Gabriele Nebe,
Eric M. Rains,
Neil J. A. Sloane
Self-Dual Codes and Invariant Theory
Paperback Engels 2010 9783642068010
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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, which has inspired hundreds of papers about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.
Specificaties
ISBN13:9783642068010
Taal:Engels
Bindwijze:paperback
Aantal pagina's:406
Uitgever:Springer Berlin Heidelberg
Druk:0
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Inhoudsopgave
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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