Algebraic And Combinatorial Constructions Of Low Density Parity Check Codes
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Error-Correction Coding and Decoding
Author | : Martin Tomlinson |
Publisher | : Springer |
Total Pages | : 527 |
Release | : 2017-02-21 |
Genre | : Technology & Engineering |
ISBN | : 3319511033 |
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.
LDPC Code Designs, Constructions, and Unification
Author | : Juane Li |
Publisher | : Cambridge University Press |
Total Pages | : 259 |
Release | : 2017 |
Genre | : Computers |
ISBN | : 1107175682 |
In this book, leading authorities unify algebraic- and graph-based LDPC code designs and constructions into a single theoretical framework.
Coding, Cryptography and Combinatorics
Author | : Keqin Feng |
Publisher | : Birkhäuser |
Total Pages | : 403 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3034878656 |
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.
Channel Codes
Author | : William Ryan |
Publisher | : Cambridge University Press |
Total Pages | : 709 |
Release | : 2009-09-17 |
Genre | : Technology & Engineering |
ISBN | : 1139483013 |
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.
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Author | : Marc Fossorier |
Publisher | : Springer Science & Business Media |
Total Pages | : 348 |
Release | : 2006-02-03 |
Genre | : Computers |
ISBN | : 3540314237 |
This book constitutes the refereed proceedings of the 16th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-16, held in Las Vegas, NV, USA in February 2006. The 25 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 32 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.
Combinatorial Algorithms
Author | : Ljiljana Brankovic |
Publisher | : Springer |
Total Pages | : 430 |
Release | : 2018-04-19 |
Genre | : Computers |
ISBN | : 3319788256 |
This book constitutes the refereed post-conference proceedings of the 28th International Workshopon Combinatorial Algorithms, IWOCA 2017, held in Newcastle, NSW, Australia, in July 2017.The 30 regular papers presented in this volume together with 5 invited talks were carefully reviewed and selected from 55 submissions. They were organized in topical sessions named: approximation algorithms and hardness; computational complexity; computational geometry; graphs and combinatorics; graph colourings, labellings and power domination; heuristics; mixed integer programming; polynomial algorithms; privacy; and string algorithms.
Iterative Error Correction
Author | : Sarah J. Johnson |
Publisher | : Cambridge University Press |
Total Pages | : 356 |
Release | : 2010 |
Genre | : Computers |
ISBN | : 0521871484 |
Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.