Self-Dual Codes and Invariant Theory (Algorithms and Computation in Mathematics)
Language: English
Published by Springer, 2006
Series: Book 9 of 24 - Algorithms and Computation in Mathematics
- Hardcover
- Used
Seller: Mispah books, Redhill, Surrey, United KingdomMispah books
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- Title
- Self-Dual Codes and Invariant Theory (Algorithms and Computation in Mathematics)
- Author
- Nebe, Gabriele, Rains, Eric M., Sloane, Neil J. A.
- Publisher
- Springer
- Publication year
- 2006
- Condition
- Like New
- Book Type
- book
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 354030729X
- ISBN 13
- 9783540307297
- Series
- Book 9 of 24: Algorithms and Computation in Mathematics
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.
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.
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
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.
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.
"About the title" may belong to another edition of this title.
Mispah books
Redhill, Surrey, United Kingdom
AbeBooks seller since April 15, 2021
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