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Title
Error-correction coding and decoding : bounds, codes, decoders, analysis and applications / Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril.
ISBN
9783319511030 electronic book
3319511033 electronic book
9783319511023
3319511025
Published
Cham, Switzerland : Springer, [2017]
Language
English
Description
1 online resource.
Other Standard Identifiers
10.1007/978-3-319-51103-0 doi
Call Number
QA268 .E77 2017
Dewey Decimal Classification
005.7/17
Summary
This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors? twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes. Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of these codes. Part IV deals with decoders designed to realize optimum performance. Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking. This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field This book is open access under a CC BY 4.0 license.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Open access.
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Description based on online resource; title from digital title page (viewed on March 08, 2017).
Series
Signals and communication technology.
Available in Other Form
Print version: 3319511025
Part I: Theoretical Performance of Error-Correcting Codes
Bounds on Error Correction Coding Performance
Soft and Hard Decision Decoding Performance
Soft Decision and Quantised Soft Decision Decoding
Part II: Code Construction
Cyclotomic Cosets, The Mattson–Solomon Polynomial, Idempotents and Cyclic Codes
Good Binary Linear Codes
Lagrange Codes
Extended BCH
Reed–Solomon Codes
Algebraic Geometry Codes
Algebraic Quasi Cyclic Codes
Convolutional Codes: A Historical Perspective
Aalogue BCH Codes
LDPC Codes
Part III: Analysis of Codes
True Search for Stopping Sets for LDPC Codes
Part IV: Decoders
Erasures and Error-Correcting Codes
The Modified Dorsch Decoder
A Concatenated Error-Correction System Using the
