Self-Dual Codes and Invariant Theory

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

ISBN 10: 3642068014 / ISBN 13: 9783642068010

Editore: Springer, 2010

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pp. 460. Codice articolo 2614419845

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Titolo: Self-Dual Codes and Invariant Theory

Casa editrice: Springer

Data di pubblicazione: 2010

Legatura: Brossura

Condizione: New

Descrizione articolo

Riassunto:

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.

Recensione:

From the reviews:

"This book under review the general notions of form rings and their representations ... . This book, introducing a new unifying theory and its applications to a wealth of substantial examples, is certainly written for experts in the field." (Jürgen Müller, Mathematical Reviews, Issue 2007 d)