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

By: Contributor(s): Material type: TextTextSeries: Signals and Communication TechnologyPublisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017Description: XX, 522 p. 134 illus., 82 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319511030
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 621.382 23
LOC classification:
  • TK1-9971
Online resources:
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.
In: Springer eBooksSummary: 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.
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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.

Open Access

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.

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