E-Book, Englisch, Band 17, 430 Seiten, eBook
Nebe / Rains / Sloane Self-Dual Codes and Invariant Theory
2006
ISBN: 978-3-540-30731-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 17, 430 Seiten, eBook
Reihe: Algorithms and Computation in Mathematics
ISBN: 978-3-540-30731-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
