A Course in Algebraic Error-Correcting Codes 2020 Edition Contributor(s): Ball, Simeon (Author) |
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ISBN: 3030411524 ISBN-13: 9783030411527 Publisher: Birkhauser OUR PRICE: $47.49 Product Type: Paperback Published: May 2020 |
Additional Information |
BISAC Categories: - Mathematics | Applied - Computers | Information Theory - Mathematics | Algebra - Abstract |
Physical Information: (0.70 lbs) 177 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon's theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed. |