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Fundamentals of Error-Correcting Codes

Fundamentals of Error-Correcting Codes
Author: W. Cary Huffman
Publisher: Cambridge University Press
Total Pages: 668
Release: 2010-02-18
Genre: Technology & Engineering
ISBN: 1139439502

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Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, there is much coverage of techniques which could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.


Fundamentals of Error-Correcting Codes

Fundamentals of Error-Correcting Codes
Author: W. Cary Huffman
Publisher: Cambridge University Press
Total Pages: 618
Release: 2003-06-26
Genre: Language Arts & Disciplines
ISBN: 9780521782807

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In-depth introduction to coding theory from both an engineering and mathematical viewpoint.


Fundamentals of Classical and Modern Error-Correcting Codes

Fundamentals of Classical and Modern Error-Correcting Codes
Author: Shu Lin
Publisher: Cambridge University Press
Total Pages: 843
Release: 2021-12-09
Genre: Computers
ISBN: 1316512622

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An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.


An Introduction to Error Correcting Codes with Applications

An Introduction to Error Correcting Codes with Applications
Author: Scott A. Vanstone
Publisher: Springer Science & Business Media
Total Pages: 297
Release: 2013-04-18
Genre: Technology & Engineering
ISBN: 1475720327

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5. 2 Rings and Ideals 148 5. 3 Ideals and Cyclic Subspaces 152 5. 4 Generator Matrices and Parity-Check Matrices 159 5. 5 Encoding Cyclic Codest 163 5. 6 Syndromes and Simple Decoding Procedures 168 5. 7 Burst Error Correcting 175 5. 8 Finite Fields and Factoring xn-l over GF(q) 181 5. 9 Another Method for Factoring xn-l over GF(q)t 187 5. 10 Exercises 193 Chapter 6 BCH Codes and Bounds for Cyclic Codes 6. 1 Introduction 201 6. 2 BCH Codes and the BCH Bound 205 6. 3 Bounds for Cyclic Codest 210 6. 4 Decoding BCH Codes 215 6. 5 Linearized Polynomials and Finding Roots of Polynomialst 224 6. 6 Exercises 231 Chapter 7 Error Correction Techniques and Digital Audio Recording 7. 1 Introduction 237 7. 2 Reed-Solomon Codes 237 7. 3 Channel Erasures 240 7. 4 BCH Decoding with Erasures 244 7. 5 Interleaving 250 7. 6 Error Correction and Digital Audio Recording 256 7.


Introduction to Error-correcting Codes

Introduction to Error-correcting Codes
Author: Michael Purser
Publisher: Artech House Telecommunication
Total Pages: 0
Release: 1995
Genre: Technology & Engineering
ISBN: 9780890067840

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This title covers the fundamentals of error-correcting codes for the non-specialist user, from general concepts through to the most common error-correcting codes applied to bit transmission in packet switched networks and personal cellular systems. It also includes sections on linear blockades, BCH codes and cyclic codes.


The Theory of Error Correcting Codes

The Theory of Error Correcting Codes
Author: Florence Jessie MacWilliams
Publisher:
Total Pages: 762
Release: 1978
Genre: Error-correcting codes (Information theory)
ISBN:

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Fundamentals Of Error-Correcting Codes

Fundamentals Of Error-Correcting Codes
Author: Huffman
Publisher:
Total Pages: 664
Release: 2004
Genre: ERR0R-CORRECTING CODES-INFORMOTION THEORY.
ISBN: 9780521613880

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Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, much coverage is included of recent techniques which until now could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.


Error-correcting Codes and Finite Fields

Error-correcting Codes and Finite Fields
Author: Oliver Pretzel
Publisher: Oxford University Press on Demand
Total Pages: 341
Release: 1996
Genre: Computers
ISBN: 9780192690678

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This textbook is a reprint of Chapters 1-20 of the original hardback edition. It provides the reader with the tools necessary to implement modern error-processing schemes. The material on algebraic geometry and geometric Goppa codes, which is not part of a standard introductory course on coding theory, has been omitted. The book assumes only a basic knowledge of linear algebra and develops the mathematical theory in parallel with the codes. Central to the text are worked examples whichmotivate and explain the theory. The book is in four parts. The first introduces the basic ideas of coding theory. The second and third cover the theory of finite fields and give a detailed treatment of BCH and Reed-Solomon codes. These parts are linked by their uses of Eulid's algorithm as a central technique. The fourth part treats classical Goppa codes.


Error-Correction Coding for Digital Communications

Error-Correction Coding for Digital Communications
Author: George C. Clark Jr.
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 2013-06-29
Genre: Technology & Engineering
ISBN: 1489921745

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Error-correction coding is being used on an almost routine basis in most new communication systems. Not only is coding equipment being used to increase the energy efficiency of communication links, but coding ideas are also providing innovative solutions to many related communication problems. Among these are the elimination of intersymbol interference caused by filtering and multipath and the improved demodulation of certain frequency modulated signals by taking advantage of the "natural" coding provided by a continuous phase. Although several books and nu merous articles have been written on coding theory, there are still noticeable deficiencies. First, the practical aspects of translating a specific decoding algorithm into actual hardware have been largely ignored. The information that is available is sketchy and is widely dispersed. Second, the information required to evaluate a particular technique under situations that are en countered in practice is available for the most part only in private company reports. This book is aimed at correcting both of these problems. It is written for the design engineer who must build the coding and decoding equipment and for the communication system engineer who must incorporate this equipment into a system. It is also suitable as a senior-level or first-year graduate text for an introductory one-semester course in coding theory. The book U"Ses a minimum of mathematics and entirely avoids the classical theorem/proof approach that is often seen in coding texts.


Foundations of Coding

Foundations of Coding
Author: Jiri Adamek
Publisher: John Wiley & Sons
Total Pages: 352
Release: 2011-02-14
Genre: Computers
ISBN: 1118031512

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Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.