Self-Dual Codes and Invariant Theory (Algorithms and Computation in Mathematics, 17)

Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.

ISBN 10: 3642068014 / ISBN 13: 9783642068010

Edité par Springer, 2010

In. N° de réf. du vendeur ria9783642068010_new

Synopsis :

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.

It is also in part an extensive encyclopedia listing the different types of self-dual codes and their properties, including tables of the best codes presently known. Beyond self-dual codes, the book also discusses two closely-related subjects, lattices and modular forms, and quantum error-correcting codes.

This book, written by the leading experts in the subject, has no equivalent in the literature and will be of great interest to mathematicians, communication theorists, computer scientists and physicists.

Présentation de l'éditeur:

One of the most remarkable theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. This book develops a new theory which is powerful enough to include all the earlier generalizations. It is also in part an extensive encyclopedia listing the different types of self-dual codes and their properties.

Détails bibliographiques

Titre : Self-Dual Codes and Invariant Theory (...
Éditeur : Springer
Date d'édition : 2010
Reliure : Couverture souple
Etat : New