Error-Correction Coding and Decoding : Bounds, Codes, Decoders, Analysis and Applications / by Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril.

Format:

Book

Author/Creator:

Tomlinson, Martin, Author.

Tjhai, Cen Jung., Author.

Ambroze, Marcel A., Author.

Ahmed, Mohammed (Mohammed Zaki), Author.

Jibril, Mubarak., Author.

Series:

Signals and Communication Technology, 1860-4862

Language:

English

Subjects (All):

Electrical engineering.

Computer networks.

Coding theory.

Information theory.

Algorithms.

Communications Engineering, Networks.

Computer Communication Networks.

Coding and Information Theory.

Local Subjects:

Communications Engineering, Networks.

Computer Communication Networks.

Coding and Information Theory.

Algorithms.

Physical Description:

1 online resource (XX, 522 p. 134 illus., 82 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

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

Language Note:

English

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.

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-319-51103-3

OCLC:

975018188

Access Restriction:

Open access Unrestricted online access