Self-Dual Codes and Invariant Theory

Nebe, Gabriele; Rains, Eric M. (University of California Davis); Sloane, Neil J. A.

ISBN 10: 3642068014 / ISBN 13: 9783642068010

Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2010

Series: Algorithms and Computation in Mathematics. Num Pages: 430 pages, 34 black & white tables, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 231 x 161 x 25. Weight in Grams: 650. . 2010. 1st ed. Softcover of orig. ed. 2006. Paperback. . . . . Codice articolo V9783642068010

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.

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.

Dalla quarta di copertina: <p>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. In the past 35 years there have been hundreds of papers written 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.</p><p>It is also in part an encyclopedia that gives a very extensive list of the different types of self-dual codes and their properties, including tables of the best codes that are presently known. Besides self-dual codes, the book also discusses two closely-related subjects, lattices and modular forms, and quantum error-correcting codes.</p><p>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.</p>

Dati bibliografici

Titolo: Self-Dual Codes and Invariant Theory
Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Data di pubblicazione: 2010
Legatura: Brossura
Condizione: New
Edizione: prima edizione