Table of contents

  1. Front Matter
    Pages i-xx
  2. Theoretical Performance of Error-Correcting Codes

    1. Front Matter
      Pages 1-1
    2. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 3-23 Open Access
    3. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 25-41 Open Access
    4. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 43-58 Open Access
  3. Code Construction

    1. Front Matter
      Pages 59-59
    2. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 61-99 Open Access
    3. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 101-136 Open Access
    4. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 137-165 Open Access
    5. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 167-179 Open Access
    6. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 181-203 Open Access
    7. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 205-288 Open Access
    8. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 289-298 Open Access
    9. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 299-314 Open Access
    10. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 315-354 Open Access
  4. Analysis and Decoders

    1. Front Matter
      Pages 355-355
    2. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 357-366 Open Access
    3. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 367-398 Open Access
    4. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 399-419 Open Access
    5. Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril
      Pages 421-431 Open Access

About this book

Introduction

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.


Keywords

Error-correcting Codes Coding Theory Cryptographic Analysis Error Detection Parity Check Communications Efficiency Maximum-likelihood Decoder Public-key Cryptosystem Shannon Limit Open Access

Authors and affiliations

  • Martin Tomlinson
    • 1
  • Cen Jung Tjhai
    • 2
  • Marcel A. Ambroze
    • 3
  • Mohammed Ahmed
    • 4
  • Mubarak Jibril
    • 5
  1. 1.School of Computing, Electronics and MathematicsPlymouth UniversityPlymouthUnited Kingdom
  2. 2. PQ Solutions LtdLondonUnited Kingdom
  3. 3.School of Computing, Electronics and MathematicsPlymouth UniversityPlymouthUnited Kingdom
  4. 4.School of Computing, Electronics and MatPlymouth University School of Computing, Electronics and MatPlymouthUnited Kingdom
  5. 5.Satellite Applications and DevelopmentNigeria Communications Satellite Ltd.AbujaNigeria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-51103-0
  • Copyright Information The Editor(s) (if applicable) and The Author(s) 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-51102-3
  • Online ISBN 978-3-319-51103-0
  • Series Print ISSN 1860-4862
  • Series Online ISSN 1860-4870
  • About this book