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

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

ISBN 10: 354030729X / ISBN 13: 9783540307297

Editore: Springer, 2006

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Titolo: Self-Dual Codes and Invariant Theory (...

Casa editrice: Springer

Data di pubblicazione: 2006

Legatura: hardcover

Condizione: Good

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Riassunto:

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.

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)