Book/Printed Material Error-Correction Coding and Decoding : Bounds, Codes, Decoders, Analysis and Applications

Title

• Error-Correction Coding and Decoding : Bounds, Codes, Decoders, Analysis and Applications

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 th ese 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.

Names

• Tomlinson, Martin. author.
• Ahmed, Mohammed. author.
• Ambroze, Marcel A. author.
• Jibril, Mubarak. author.
• Tjhai, Cen Jung. author.

Created / Published

• Cham : Springer International Publishing : Imprint: Springer, 2017.

Contents

• 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 |u|u+v| Code Construction -- Part V: Applications -- Combined Error Detection and Error Correction -- Password Correction and Confidential Information Access System -- Variations on the McEliece Public Key Encryption System -- Error-Correcting Codes and Dirty-Paper Coding.

Headings

• -  Algorithms
• -  Coding theory
• -  Computer communication systems
• -  Electrical engineering
• -  Information theory
• -  Communications Engineering, Networks
• -  Coding and Information Theory
• -  Computer Communication Networks

Notes

• -  Description based on publisher-supplied MARC data.
• -  Engineering (R0) (SpringerNature-43712)
• -  Engineering (SpringerNature-11647)

Medium

• 1 online resource (XX, 522 pages 134 illustrations, 82 illustrations in color.)

Digital Id

• https://hdl.loc.gov/loc.gdc/gdcebookspublic.2019742440

Library of Congress Control Number

• 2019742440

Rights Advisory

• Creative Commons Attribution 4.0 International. CC BY 4.0 https://creativecommons.org/licenses/by/4.0/ External

Access Advisory

• Unrestricted online access.

Online Format

• image
• epub

LCCN Permalink

• https://lccn.loc.gov/2019742440

Additional Metadata Formats

• MARCXML Record
• MODS Record
• Dublin Core Record