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Book [](https://link.springer.com/book/10.1007/978-3-319-51103-0/cover) # Error-Correction Coding and Decoding Bounds, Codes, Decoders, Analysis and Applications - Book - Open Access - © 2017 You have full access to this [open access](https://www.springernature.com/gp/open-science/about/the-fundamentals-of-open-access-and-open-research) Book [Download book PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0.pdf) [Download book EPUB](https://link.springer.com/download/epub/10.1007/978-3-319-51103-0.epub) [Accessibility Information](https://link.springer.com/book/10.1007/978-3-319-51103-0#accessibility-information) Error-Correction Coding and Decoding [Download book PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0.pdf) [Download book EPUB](https://link.springer.com/download/epub/10.1007/978-3-319-51103-0.epub) ## Overview Authors: - [Martin Tomlinson](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-0) [0](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-0), - [Cen Jung Tjhai](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-1) [1](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-1), - [Marcel A. Ambroze](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-2) [2](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-2), - [Mohammed Ahmed](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-3) [3](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-3), - … - [Mubarak Jibril](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-4) [4](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-4) Show authors 1. Martin Tomlinson 1. School of Computing, Electronics and Mathematics, Plymouth University, Plymouth, United Kingdom [View author publications](https://link.springer.com/search?contributor=Martin+Tomlinson&sortBy=newestFirst) Search author on: [PubMed](http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Martin+Tomlinson) [Google Scholar](http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Martin+Tomlinson%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en) 2. Cen Jung Tjhai 1. 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School of Computing, Electronics and Mathematics, Plymouth University, Plymouth, United Kingdom [View author publications](https://link.springer.com/search?contributor=Marcel+A.+Ambroze&sortBy=newestFirst) Search author on: [PubMed](http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Marcel+A.+Ambroze) [Google Scholar](http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Marcel+A.+Ambroze%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en) 4. Mohammed Ahmed 1. School of Computing, Electronics and Mat, Plymouth University School of Computing, Electronics and Mat, Plymouth, United Kingdom [View author publications](https://link.springer.com/search?contributor=Mohammed+Ahmed&sortBy=newestFirst) Search author on: [PubMed](http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Mohammed+Ahmed) [Google Scholar](http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Mohammed+Ahmed%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en) 5. Mubarak Jibril 1. Satellite Applications and Development, Nigeria Communications Satellite Ltd., Abuja, Nigeria [View author publications](https://link.springer.com/search?contributor=Mubarak+Jibril&sortBy=newestFirst) Search author on: [PubMed](http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Mubarak+Jibril) [Google Scholar](http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Mubarak+Jibril%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en) - Deepens your understanding of a ubiquitous and important technology using simple examples and easy-to-understand language - Presents a balanced mix of theory and applications - Diversity of applications will equip the reader to work with many aspects of coding and decoding in the real world - Includes supplementary material: [sn.pub/extras](https://extras.springer.com/?query=978-3-319-51102-3) Part of the book series: [Signals and Communication Technology](https://link.springer.com/series/4748) (SCT) - 370k Accesses - 48 Citations - 10 [Altmetric](https://link.altmetric.com/details/16677410 "Visit Altmetric for full social mention details") ## Buy print copy Softcover Book GBP 44.99 Price includes VAT (United Kingdom) Hardcover Book GBP 44.99 Price includes VAT (United Kingdom) Tax calculation will be finalised at checkout [Licence this eBook for your library](https://single-ebooks.springernature.com/search?query=10.1007%2F978-3-319-51103-0) [Learn about institutional subscriptions](https://www.springernature.com/gp/librarians/licensing/agc/ebooks) ## About this book 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. ### Similar content being viewed by others  ### [A Comparative Review of Recent Advances in Decoding Algorithms for Low-Density Parity-Check (LDPC) Codes and Their Applications](https://link.springer.com/10.1007/s11831-020-09466-6) Article 16 July 2020  ### [Effect of one redundant parity-check equation on the stopping distance](https://link.springer.com/10.1007/s12190-018-1170-3) Article 08 February 2018  ### [Comparison of Various Decoding Algorithms for EG-Low Density Parity Check Codes](https://link.springer.com/10.1007/978-981-10-4762-6_58) Chapter © 2018 ### Explore related subjects Discover the latest articles, books and news in related subjects. - [Algorithms](https://link.springer.com/subjects/algorithms) - [Coding and Information Theory](https://link.springer.com/subjects/coding-and-information-theory) - [Communications Engineering, Networks](https://link.springer.com/subjects/communications-engineering-networks) - [Computer Communication Networks](https://link.springer.com/subjects/computer-communication-networks) - [error-Correcting Codes in Communication Networks](https://link.springer.com/subjects/error-correcting-codes-in-communication-networks) ## Table of contents (20 chapters) 1. ### Front Matter Pages i-xx [Download chapter PDF](https://link.springer.com/content/pdf/bfm:978-3-319-51103-0/1) 2. ### Theoretical Performance of Error-Correcting Codes 1. #### Front Matter Pages 1-1 [Download chapter PDF](https://link.springer.com/content/pdf/bfm:978-3-319-51103-0/1/1) 2. #### [Bounds on Error-Correction Coding Performance](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_1) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 3-23Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_1) 3. #### [Soft and Hard Decision Decoding Performance](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_2) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 25-41Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_2) 4. #### [Soft Decision and Quantised Soft Decision Decoding](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_3) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 43-58Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_3) 3. ### Code Construction 1. #### Front Matter Pages 59-59 [Download chapter PDF](https://link.springer.com/content/pdf/bfm:978-3-319-51103-0/2/1) 2. #### [Cyclotomic Cosets, the Mattson–Solomon Polynomial, Idempotents and Cyclic Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_4) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 61-99Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_4) 3. #### [Good Binary Linear Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_5) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 101-136Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_5) 4. #### [Lagrange Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_6) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 137-165Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_6) 5. #### [Reed–Solomon Codes and Binary Transmission](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_7) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 167-179Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_7) 6. #### [Algebraic Geometry Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_8) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 181-203Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_8) 7. #### [Algebraic Quasi Cyclic Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_9) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 205-288Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_9) 8. #### [Historical Convolutional Codes as Tail-Biting Block Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_10) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 289-298Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_10) 9. #### [Analogue BCH Codes and Direct Reduced Echelon Parity Check Matrix Construction](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_11) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 299-314Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_11) 10. #### [LDPC Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_12) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 315-354Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_12) 4. ### Analysis and Decoders 1. #### Front Matter Pages 355-355 [Download chapter PDF](https://link.springer.com/content/pdf/bfm:978-3-319-51103-0/3/1) 2. #### [An Exhaustive Tree Search for Stopping Sets of LDPC Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_13) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 357-366Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_13) 3. #### [Erasures and Error-Correcting Codes](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_14) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 367-398Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_14) 4. #### [The Modified Dorsch Decoder](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_15) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 399-419Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_15) 5. #### [A Concatenated Error-Correction System Using the \| u \| u + v \| Code Construction](https://link.springer.com/chapter/10.1007/978-3-319-51103-0_16) - Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril Pages 421-431Open Access [Download chapter PDF](https://link.springer.com/content/pdf/10.1007/978-3-319-51103-0_16) - [1](https://link.springer.com/book/10.1007/978-3-319-51103-0?page=1#toc) - [2](https://link.springer.com/book/10.1007/978-3-319-51103-0?page=2#toc) - [Next page](https://link.springer.com/book/10.1007/978-3-319-51103-0?page=2#toc) [Back to top](https://link.springer.com/book/10.1007/978-3-319-51103-0#back-to-top) ## Authors and Affiliations - ### School of Computing, Electronics and Mathematics, Plymouth University, Plymouth, United Kingdom Martin Tomlinson, Marcel A. Ambroze - ### PQ Solutions Ltd, London, United Kingdom Cen Jung Tjhai - ### School of Computing, Electronics and Mat, Plymouth University School of Computing, Electronics and Mat, Plymouth, United Kingdom Mohammed Ahmed - ### Satellite Applications and Development, Nigeria Communications Satellite Ltd., Abuja, Nigeria Mubarak Jibril ## About the authors Professor Martin Tomlinson is best known for inventing the Tomlinson-Harashima pre-coding technique. He received his PhD on the subject of adaptive equalisation for data transmission from Loughborough University in 1970. He later worked at Plessey Telecommunications Research Ltd. in the field of digital and satellite transmissions and then at the Satellite Communications Division of the Royal Signals and Radar Establishment (RSRE) (now Qinetiq). He was also the project manager for the communications aspects of the NATO IV satellite before joining the University of Plymouth as the head of the Communication Engineering Department in 1982. Professor Tomlinson has published 186 papers, holds 33 patents and is a well known member of several professional institutes and societies. He is Emeritus Professor of Communications at the University of Plymouth and is also Chief Scientific Officer of Post-Quantum, a company specializing in secure communications and cryptographic products. Dr. Cen Jung Tjhai is an expert in error correcting codes, cryptography, digital signal processing and wireless communications. He is Chief Technology Officer at Post-Quantum and is responsible for secure messaging, authentication and blockchain product developments. Prior to this, he was a lecturer at the University of Plymouth and carried out research in a number of government projects in secure digital signal processing and cyber security. Dr. Tjhai has published over 30 papers and currently holds 16 patents. Dr. Adrian Ambroze was awarded his PhD in Turbo Codes from the University of Plymouth in 2000 and currently holds the position of Lecturer in Digital Communications. He is an expert on Turbo codes, LDPC codes and iterative decoders. He is a member of the Institute of Electrical and Electronics Engineers (IEEE) and a reviewer for a number of the institute’s publications as well as for the Engineering and Physical Sciences Research Council (EPSRC). Dr. Ambroze has published over 50 papers and currently holds 6 patents. Dr. Zaki Ahmed completed his BEng, MEng and PhD degrees at the University of Plymouth (1996–2003) and was appointed as a permanent member of staff in 2001. He currently holds the position of Associate Professor in Information Technology and is a fellow of the Japanese Society for the Promotion of Science (FJSPS) and the Higher Education Academy (FHEA). Dr. Ahmed is also a respected member of the Institute of Electrical and Electronics Engineers. He is an expert in the areas of coding bounds and constructions of best known, error correcting codes. Dr. Ahmed has published over 70 papers and currently holds 10 patents. Dr. Mubarak Jibril received a Bachelor of Engineering in Electrical and Electronic Engineering from Bayero University Kano in 2005. At the University of Plymouth he completed his MSc in Digital Communications and Signal Processing in 2008 and was awarded his PhD for research into Alg ebraicGeometry Codes in 2011. He is currently employed by the Nigerian Communications Satellite Company Limited in Abuja, Nigeria. Dr. Jibril is an expert in Algebraic Geometry (AG) error correcting codes and has published several journal articles on Goppa codes and new, best known, AG codes. ## Accessibility Information Accessibility information for this book is coming soon. We're working to make it available as quickly as possible. Thank you for your patience. ## Bibliographic Information - Book Title: Error-Correction Coding and Decoding - Book Subtitle: Bounds, Codes, Decoders, Analysis and Applications - Authors: Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril - Series Title: [Signals and Communication Technology](https://link.springer.com/series/4748) - DOI: https://doi.org/10.1007/978-3-319-51103-0 - Publisher: Springer Cham - eBook Packages: [Engineering](https://link.springer.com/search?facet-content-type=%22Book%22&package=11647&facet-start-year=2017&facet-end-year=2017), [Engineering (R0)](https://link.springer.com/search?facet-content-type=%22Book%22&package=43712&facet-start-year=2017&facet-end-year=2017) - Copyright Information: The Editor(s) (if applicable) and The Author(s) 2017 - Hardcover ISBN: 978-3-319-51102-3Published: 02 March 2017 - Softcover ISBN: 978-3-319-84567-8Published: 13 July 2018 - eBook ISBN: 978-3-319-51103-0Published: 21 February 2017 - Series ISSN: 1860-4862 - Series E-ISSN: 1860-4870 - Edition Number: 1 - Number of Pages: XX, 522 - Number of Illustrations: 52 b/w illustrations, 82 illustrations in colour - Topics: [Communications Engineering, Networks](https://link.springer.com/search?facet-sub-discipline=Communications%20Engineering,%20Networks&facet-content-type=Book), [Computer Communication Networks](https://link.springer.com/search?facet-sub-discipline=Computer%20Communication%20Networks&facet-content-type=Book), [Coding and Information Theory](https://link.springer.com/search?facet-sub-discipline=Coding%20and%20Information%20Theory&facet-content-type=Book), [Algorithms](https://link.springer.com/search?facet-sub-discipline=Algorithms&facet-content-type=Book) ## Keywords - 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## Overview Authors: - [Cen Jung Tjhai](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-1) [1](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-1), - [Marcel A. Ambroze](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-2) [2](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-2), - [Mohammed Ahmed](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-3) [3](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-3), - … - [Mubarak Jibril](https://link.springer.com/book/10.1007/978-3-319-51103-0#author-0-4) [4](https://link.springer.com/book/10.1007/978-3-319-51103-0#Aff-0-4) 1. Martin Tomlinson 1. School of Computing, Electronics and Mathematics, Plymouth University, Plymouth, United Kingdom 2. Cen Jung Tjhai 1. PQ Solutions Ltd, London, United Kingdom 3. Marcel A. Ambroze 1. School of Computing, Electronics and Mathematics, Plymouth University, Plymouth, United Kingdom 4. Mohammed Ahmed 1. School of Computing, Electronics and Mat, Plymouth University School of Computing, Electronics and Mat, Plymouth, United Kingdom 5. Mubarak Jibril 1. Satellite Applications and Development, Nigeria Communications Satellite Ltd., Abuja, Nigeria - Deepens your understanding of a ubiquitous and important technology using simple examples and easy-to-understand language - Presents a balanced mix of theory and applications - Diversity of applications will equip the reader to work with many aspects of coding and decoding in the real world - Includes supplementary material: [sn.pub/extras](https://extras.springer.com/?query=978-3-319-51102-3) - 370k Accesses - 48 Citations - 10 [Altmetric](https://link.altmetric.com/details/16677410 "Visit Altmetric for full social mention details") ## About this book 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. ### Similar content being viewed by others    ## Table of contents (20 chapters) ## Authors and Affiliations - ### School of Computing, Electronics and Mathematics, Plymouth University, Plymouth, United Kingdom Martin Tomlinson, Marcel A. Ambroze - ### PQ Solutions Ltd, London, United Kingdom Cen Jung Tjhai - ### School of Computing, Electronics and Mat, Plymouth University School of Computing, Electronics and Mat, Plymouth, United Kingdom Mohammed Ahmed - ### Satellite Applications and Development, Nigeria Communications Satellite Ltd., Abuja, Nigeria Mubarak Jibril ## About the authors Professor Martin Tomlinson is best known for inventing the Tomlinson-Harashima pre-coding technique. He received his PhD on the subject of adaptive equalisation for data transmission from Loughborough University in 1970. He later worked at Plessey Telecommunications Research Ltd. in the field of digital and satellite transmissions and then at the Satellite Communications Division of the Royal Signals and Radar Establishment (RSRE) (now Qinetiq). He was also the project manager for the communications aspects of the NATO IV satellite before joining the University of Plymouth as the head of the Communication Engineering Department in 1982. Professor Tomlinson has published 186 papers, holds 33 patents and is a well known member of several professional institutes and societies. He is Emeritus Professor of Communications at the University of Plymouth and is also Chief Scientific Officer of Post-Quantum, a company specializing in secure communications and cryptographic products. Dr. Cen Jung Tjhai is an expert in error correcting codes, cryptography, digital signal processing and wireless communications. He is Chief Technology Officer at Post-Quantum and is responsible for secure messaging, authentication and blockchain product developments. Prior to this, he was a lecturer at the University of Plymouth and carried out research in a number of government projects in secure digital signal processing and cyber security. Dr. Tjhai has published over 30 papers and currently holds 16 patents. Dr. Adrian Ambroze was awarded his PhD in Turbo Codes from the University of Plymouth in 2000 and currently holds the position of Lecturer in Digital Communications. He is an expert on Turbo codes, LDPC codes and iterative decoders. He is a member of the Institute of Electrical and Electronics Engineers (IEEE) and a reviewer for a number of the institute’s publications as well as for the Engineering and Physical Sciences Research Council (EPSRC). Dr. Ambroze has published over 50 papers and currently holds 6 patents. Dr. Zaki Ahmed completed his BEng, MEng and PhD degrees at the University of Plymouth (1996–2003) and was appointed as a permanent member of staff in 2001. He currently holds the position of Associate Professor in Information Technology and is a fellow of the Japanese Society for the Promotion of Science (FJSPS) and the Higher Education Academy (FHEA). Dr. Ahmed is also a respected member of the Institute of Electrical and Electronics Engineers. He is an expert in the areas of coding bounds and constructions of best known, error correcting codes. Dr. Ahmed has published over 70 papers and currently holds 10 patents. Dr. Mubarak Jibril received a Bachelor of Engineering in Electrical and Electronic Engineering from Bayero University Kano in 2005. At the University of Plymouth he completed his MSc in Digital Communications and Signal Processing in 2008 and was awarded his PhD for research into Alg ebraicGeometry Codes in 2011. He is currently employed by the Nigerian Communications Satellite Company Limited in Abuja, Nigeria. Dr. Jibril is an expert in Algebraic Geometry (AG) error correcting codes and has published several journal articles on Goppa codes and new, best known, AG codes. ## Accessibility Information Accessibility information for this book is coming soon. We're working to make it available as quickly as possible. Thank you for your patience. ## Bibliographic Information - Book Title: Error-Correction Coding and Decoding - Book Subtitle: Bounds, Codes, Decoders, Analysis and Applications - Authors: Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril - Series Title: [Signals and Communication Technology](https://link.springer.com/series/4748) - DOI: https://doi.org/10.1007/978-3-319-51103-0 - Publisher: Springer Cham - eBook Packages: [Engineering](https://link.springer.com/search?facet-content-type=%22Book%22&package=11647&facet-start-year=2017&facet-end-year=2017), [Engineering (R0)](https://link.springer.com/search?facet-content-type=%22Book%22&package=43712&facet-start-year=2017&facet-end-year=2017) - Copyright Information: The Editor(s) (if applicable) and The Author(s) 2017 - Hardcover ISBN: 978-3-319-51102-3Published: 02 March 2017 - Softcover ISBN: 978-3-319-84567-8Published: 13 July 2018 - eBook ISBN: 978-3-319-51103-0Published: 21 February 2017 - Series ISSN: 1860-4862 - Series E-ISSN: 1860-4870 - Edition Number: 1 - Number of Pages: XX, 522 - Number of Illustrations: 52 b/w illustrations, 82 illustrations in colour - Topics: [Communications Engineering, Networks](https://link.springer.com/search?facet-sub-discipline=Communications%20Engineering,%20Networks&facet-content-type=Book), [Computer Communication Networks](https://link.springer.com/search?facet-sub-discipline=Computer%20Communication%20Networks&facet-content-type=Book), [Coding and Information Theory](https://link.springer.com/search?facet-sub-discipline=Coding%20and%20Information%20Theory&facet-content-type=Book), [Algorithms](https://link.springer.com/search?facet-sub-discipline=Algorithms&facet-content-type=Book) ## Keywords ## Publish with us [Back to top](https://link.springer.com/book/10.1007/978-3-319-51103-0#back-to-top)