Error-Correction Coding and Decoding
Error-Correction Coding and Decoding

Author: Martin Tomlinson

Publisher: Springer

Published: 2017-02-21

Total Pages: 527

ISBN-13: 3319511033

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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.

Resource Efficient LDPC Decoders
Resource Efficient LDPC Decoders

Author: Vikram Arkalgud Chandrasetty

Publisher: Academic Press

Published: 2017-12-05

Total Pages: 192

ISBN-13: 0128112565

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This book takes a practical hands-on approach to developing low complexity algorithms and transforming them into working hardware. It follows a complete design approach – from algorithms to hardware architectures - and addresses some of the challenges associated with their design, providing insight into implementing innovative architectures based on low complexity algorithms.The reader will learn: - Modern techniques to design, model and analyze low complexity LDPC algorithms as well as their hardware implementation - How to reduce computational complexity and power consumption using computer aided design techniques - All aspects of the design spectrum from algorithms to hardware implementation and performance trade-offs - Provides extensive treatment of LDPC decoding algorithms and hardware implementations - Gives a systematic guidance, giving a basic understanding of LDPC codes and decoding algorithms and providing practical skills in implementing efficient LDPC decoders in hardware - Companion website containing C-Programs and MATLAB models for simulating the algorithms, and Verilog HDL codes for hardware modeling and synthesis

Coding, Cryptography and Combinatorics
Coding, Cryptography and Combinatorics

Author: Keqin Feng

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 403

ISBN-13: 3034878656

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It has long been recognized that there are fascinating connections between cod ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care ful scrutiny, 28 papers were accepted for publication.

Codes and turbo codes
Codes and turbo codes

Author: Claude Berrou

Publisher: Springer Science & Business Media

Published: 2011-01-27

Total Pages: 400

ISBN-13: 2817800397

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This book is devoted to one of the essential functions of modern telecommunications systems: channel coding or error correction coding. Its main topic is iteratively decoded algebraic codes, convolutional codes and concatenated codes.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Author: Marc Fossorier

Publisher: Springer

Published: 2003-08-03

Total Pages: 275

ISBN-13: 3540448284

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This book constitutes the refereed proceedings of the 15th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-15, held in Toulouse, France, in May 2003.The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 40 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Channel Codes
Channel Codes

Author: William Ryan

Publisher: Cambridge University Press

Published: 2009-09-17

Total Pages: 709

ISBN-13: 1139483013

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Channel coding lies at the heart of digital communication and data storage, and this detailed introduction describes the core theory as well as decoding algorithms, implementation details, and performance analyses. In this book, Professors Ryan and Lin provide clear information on modern channel codes, including turbo and low-density parity-check (LDPC) codes. They also present detailed coverage of BCH codes, Reed-Solomon codes, convolutional codes, finite geometry codes, and product codes, providing a one-stop resource for both classical and modern coding techniques. Assuming no prior knowledge in the field of channel coding, the opening chapters begin with basic theory to introduce newcomers to the subject. Later chapters then extend to advanced topics such as code ensemble performance analyses and algebraic code design. 250 varied and stimulating end-of-chapter problems are also included to test and enhance learning, making this an essential resource for students and practitioners alike.

Novel Algorithms and Techniques in Telecommunications, Automation and Industrial Electronics
Novel Algorithms and Techniques in Telecommunications, Automation and Industrial Electronics

Author: Tarek Sobh

Publisher: Springer Science & Business Media

Published: 2008-08-15

Total Pages: 597

ISBN-13: 1402087373

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Novel Algorithms and Techniques in Telecommunications, Automation and Industrial Electronics includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Industrial Electronics, Technology and Automation, Telecommunications and Networking. Novel Algorithms and Techniques in Telecommunications, Automation and Industrial Electronics includes selected papers form the conference proceedings of the International Conference on Industrial Electronics, Technology and Automation (IETA 2007) and International Conference on Telecommunications and Networking (TeNe 07) which were part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2007).

Codes, Systems, and Graphical Models
Codes, Systems, and Graphical Models

Author: Brian Marcus

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 520

ISBN-13: 1461301653

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Coding theory, system theory, and symbolic dynamics have much in common. A major new theme in this area of research is that of codes and systems based on graphical models. This volume contains survey and research articles from leading researchers at the interface of these subjects.