
Algebraic and Stochastic Coding Theory
CRC Press
1st Edition
Published on 5. March 2012
Book
Hardback
512 pages
978-1-4398-8181-1 (ISBN)
Description
Using a simple yet rigorous approach, Algebraic and Stochastic Coding Theory makes the subject of coding theory easy to understand for readers with a thorough knowledge of digital arithmetic, Boolean and modern algebra, and probability theory. It explains the underlying principles of coding theory and offers a clear, detailed description of each code. More advanced readers will appreciate its coverage of recent developments in coding theory and stochastic processes.
After a brief review of coding history and Boolean algebra, the book introduces linear codes, including Hamming and Golay codes. It then examines codes based on the Galois field theory as well as their application in BCH and especially the Reed-Solomon codes that have been used for error correction of data transmissions in space missions.
The major outlook in coding theory seems to be geared toward stochastic processes, and this book takes a bold step in this direction. As research focuses on error correction and recovery of erasures, the book discusses belief propagation and distributions. It examines the low-density parity-check and erasure codes that have opened up new approaches to improve wide-area network data transmission. It also describes modern codes, such as the Luby transform and Raptor codes, that are enabling new directions in high-speed transmission of very large data to multiple users.
This robust, self-contained text fully explains coding problems, illustrating them with more than 200 examples. Combining theory and computational techniques, it will appeal not only to students but also to industry professionals, researchers, and academics in areas such as coding theory and signal and image processing.
After a brief review of coding history and Boolean algebra, the book introduces linear codes, including Hamming and Golay codes. It then examines codes based on the Galois field theory as well as their application in BCH and especially the Reed-Solomon codes that have been used for error correction of data transmissions in space missions.
The major outlook in coding theory seems to be geared toward stochastic processes, and this book takes a bold step in this direction. As research focuses on error correction and recovery of erasures, the book discusses belief propagation and distributions. It examines the low-density parity-check and erasure codes that have opened up new approaches to improve wide-area network data transmission. It also describes modern codes, such as the Luby transform and Raptor codes, that are enabling new directions in high-speed transmission of very large data to multiple users.
This robust, self-contained text fully explains coding problems, illustrating them with more than 200 examples. Combining theory and computational techniques, it will appeal not only to students but also to industry professionals, researchers, and academics in areas such as coding theory and signal and image processing.
Reviews / Votes
"... examines both classical error-correcting codes (those developed in the first few decades of the discipline) and newer codes (those developed within a few decades of the book's publication). ... With each code being studied, the book describes encoding and decoding procedures, sometimes including performance analysis. For certain codes, such as Reed-Solomon codes, hardware and software implementations of encoding and decoding are considered. Discussions of efficiency are also presented in some cases."-William Cary Huffman, Mathematical Reviews Clippings, December 2013
More details
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Senior and undergraduate students, researchers, electrical engineers, and computer scientists working in the areas of coding theory, probability, signal processing, image processing, electromagnetics, information theory, and error detection and correction.
Illustrations
130 s/w Abbildungen, 71 s/w Tabellen
71 Tables, black and white; 130 Illustrations, black and white
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 32 mm
Weight
931 gr
ISBN-13
978-1-4398-8181-1 (9781439881811)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Dave K. Kythe | Prem K. Kythe
Algebraic and Stochastic Coding Theory
E-Book
07/2017
1st Edition
CRC Press
€224.99
Available for download

Dave K. Kythe | Prem K. Kythe
Algebraic and Stochastic Coding Theory
E-Book
07/2017
1st Edition
CRC Press
€224.99
Available for download
Persons
Dave K. Kythe, Prem K. Kythe
Author
Ernst & Young LLP, Los Angeles, California, USA
University of New Orleans, Louisiana, USA
Content
Historical Background. Digital Arithmetic. Linear Codes. Hamming Codes. Extended Hamming Codes. Bounds in Coding Theory. Golay Codes. Galois Fields. Matrix Codes. Cyclic Codes. BCH Codes. Reed-Muller Codes. Reed-Solomon Codes. Belief Propagation. LDPC Codes. Special LDPC Codes. Discrete Distributions. Erasure Codes. Luby Transform Codes. Raptor Codes. Appendices: A ASCII Table. B Some Useful Groups. C Tables in Finite Fields. D Discrete Fourier Transform. E Software Resources. Bibliography. Index.