Decoding The Codes

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List Decoding Of Error Correcting Codes

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Author : Venkatesan Guruswami
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-29

List Decoding Of Error Correcting Codes written by Venkatesan Guruswami and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-29 with Computers categories.

This monograph is a thoroughly revised and extended version of the author's PhD thesis, which was selected as the winning thesis of the 2002 ACM Doctoral Dissertation Competition. Venkatesan Guruswami did his PhD work at the MIT with Madhu Sudan as thesis adviser. Starting with the seminal work of Shannon and Hamming, coding theory has generated a rich theory of error-correcting codes. This theory has traditionally gone hand in hand with the algorithmic theory of decoding that tackles the problem of recovering from the transmission errors efficiently. This book presents some spectacular new results in the area of decoding algorithms for error-correcting codes. Specificially, it shows how the notion of list-decoding can be applied to recover from far more errors, for a wide variety of error-correcting codes, than achievable before The style of the exposition is crisp and the enormous amount of information on combinatorial results, polynomial time list decoding algorithms, and applications is presented in well structured form.

Error Correction Coding And Decoding

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Author : Martin Tomlinson
language : en
Publisher: Springer
Release Date : 2017-02-21

Error Correction Coding And Decoding written by Martin Tomlinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-21 with Technology & Engineering categories.

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.

Fundamentals Of Codes Graphs And Iterative Decoding

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Author : Stephen B. Wicker
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18

Fundamentals Of Codes Graphs And Iterative Decoding written by Stephen B. Wicker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Technology & Engineering categories.

Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.

Decoding The Codes

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Author : Alex Toth
language : en
Publisher: Irwin Professional Publishing
Release Date : 1998

Decoding The Codes written by Alex Toth and has been published by Irwin Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Classification categories.

Written by healthcare consultant Alex Toth, Decoding the Codes is the only manual to encompass a thorough explanation of the content, format and utility of all of the coding systems for all clinical specialties, including acute and long-term care. Decoding the Codes also gives pedagogical examples and learning exercises. Actual clinical documentation, objectives, and exercises allows the medical records and patient account directors to retain key concepts needed to understand the coding system. Decoding the Codes will help you take the mystery out of the coding system by giving you an explanation of each alpha and numeric code; a clearer picture on how each code effects reimbursement; and a perfect compendium to ICD, CPT and HCPCS coding books. Whether you are a nurse, physician or coding specialist, knowing every number, letter and decimal point of over 36,000 codes seems impossible. Decoding the Codes will give you an edge in understanding the codes so you can receive full reimbursement.

Turbo Like Codes

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Author : Aliazam Abbasfar
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-09

Turbo Like Codes written by Aliazam Abbasfar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-09 with Technology & Engineering categories.

This book introduces turbo error correcting concept in a simple language, including a general theory and the algorithms for decoding turbo-like code. It presents a unified framework for the design and analysis of turbo codes and LDPC codes and their decoding algorithms. A major focus is on high speed turbo decoding, which targets applications with data rates of several hundred million bits per second (Mbps).

Coding Theory And Cryptography

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Author : D.C. Hankerson
language : en
Publisher: CRC Press
Release Date : 2000-08-04

Coding Theory And Cryptography written by D.C. Hankerson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-04 with Computers categories.

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offering revised and updated material on the Berlekamp-Massey decoding algorithm and convolutional codes. Introducing the mathematics as it is needed and providing exercises with solutions, this edition includes an extensive section on cryptography, designed for an introductory course on the subject.

The Art Of Error Correcting Coding

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Author : Robert H. Morelos-Zaragoza
language : en
Publisher: John Wiley & Sons
Release Date : 2006-07-11

The Art Of Error Correcting Coding written by Robert H. Morelos-Zaragoza and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-11 with Technology & Engineering categories.

Building on the success of the first edition, which offered a practical introductory approach to the techniques of error concealment, this book, now fully revised and updated, provides a comprehensive treatment of the subject and includes a wealth of additional features. The Art of Error Correcting Coding, Second Edition explores intermediate and advanced level concepts as well as those which will appeal to the novice. All key topics are discussed, including Reed-Solomon codes, Viterbi decoding, soft-output decoding algorithms, MAP, log-MAP and MAX-log-MAP. Reliability-based algorithms GMD and Chase are examined, as are turbo codes, both serially and parallel concatenated, as well as low-density parity-check (LDPC) codes and their iterative decoders. Features additional problems at the end of each chapter and an instructor’s solutions manual Updated companion website offers new C/C ++programs and MATLAB scripts, to help with the understanding and implementation of basic ECC techniques Easy to follow examples illustrate the fundamental concepts of error correcting codes Basic analysis tools are provided throughout to help in the assessment of the error performance block and convolutional codes of a particular error correcting coding (ECC) scheme for a selection of the basic channel models This edition provides an essential resource to engineers, computer scientists and graduate students alike for understanding and applying ECC techniques in the transmission and storage of digital information.

Trellis Decoding Of Block Codes

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Author : Bahram Honary
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Trellis Decoding Of Block Codes written by Bahram Honary and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

It is a great pleasure to be asked to write the Preface for this book on trellis decoding of error correcting block codes. The subject is extremely significant both theoretically and practically, and is very timely because of recent devel opments in the microelectronic implementation and range of application of error-control coding systems based on block codes. The authors have been notably active in signal processing and coding research and development for several years, and therefore very well placed to contribute to the state of the art on the subject of trellis decoding. In particular, the book represents a unique approach to many practical aspects of the topic. As the authors point out, there are two main classes of error control codes: block codes and convolutinal codes. Block codes came first historically and have a well-developed mathematical structure. Convolutional codes come later, and have developed heuristically, though a more formal treatment has emerged via recent developments in the theory of symbolic dynamics. Max imum likelihood (ML) decoding of powerful codes in both these classes is computationally complex in the general case; that is, ML decoding fails into the class of NP-hard computational problems. This arieses because the de coding complexity is an exponential function of key parameters of the code.

Decoding The Codes

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Author : Alex J. Toth
language : en
Publisher:
Release Date : 1998

Decoding The Codes written by Alex J. Toth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Medicine categories.

Decoding the Codes will help you take the mystery out of the coding system by giving you an explanation of each alpha and numeric code; a clearer picture on how each code effects reimbursement; and a perfect compendium to ICD, CPT and HCPCS coding books. Whether you are a nurse, physician or coding specialist, knowing every number, letter and decimal point of over 36,000 codes seems impossible. Decoding the Codes will give you an edge in understanding the codes so you can receive full reimbursement.

Constrained Coding And Soft Iterative Decoding

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Author : John L. Fan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Constrained Coding And Soft Iterative Decoding written by John L. Fan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

Constrained Coding and Soft Iterative Decoding is the first work to combine the issues of constrained coding and soft iterative decoding (e.g., turbo and LDPC codes) from a unified point of view. Since constrained coding is widely used in magnetic and optical storage, it is necessary to use some special techniques (modified concatenation scheme or bit insertion) in order to apply soft iterative decoding. Recent breakthroughs in the design and decoding of error-control codes (ECCs) show significant potential for improving the performance of many communications systems. ECCs such as turbo codes and low-density parity check (LDPC) codes can be represented by graphs and decoded by passing probabilistic (a.k.a. `soft') messages along the edges of the graph. This message-passing algorithm yields powerful decoders whose performance can approach the theoretical limits on capacity. This exposition uses `normal graphs,' introduced by Forney, which extend in a natural manner to block diagram representations of the system and provide a simple unified framework for the decoding of ECCs, constrained codes, and channels with memory. Soft iterative decoding is illustrated by the application of turbo codes and LDPC codes to magnetic recording channels. For magnetic and optical storage, an issue arises in the use of constrained coding, which places restrictions on the sequences that can be transmitted through the channel; the use of constrained coding in combination with soft ECC decoders is addressed by the modified concatenation scheme also known as `reverse concatenation.' Moreover, a soft constraint decoder yields additional coding gain from the redundancy in the constraint, which may be of practical interest in the case of optical storage. In addition, this monograph presents several other research results (including the design of sliding-block lossless compression codes, and the decoding of array codes as LDPC codes). Constrained Coding and Soft Iterative Decoding will prove useful to students, researchers and professional engineers who are interested in understanding this new soft iterative decoding paradigm and applying it in communications and storage systems.