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An Introduction to Error Correcting Codes with Applications

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Release : 2013-04-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 327/5 ( reviews)

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Book Synopsis An Introduction to Error Correcting Codes with Applications by : Scott A. Vanstone

Download or read book An Introduction to Error Correcting Codes with Applications written by Scott A. Vanstone. This book was released on 2013-04-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Error-correcting Codes

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Author :
Release : 1970
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis An Introduction to Error-correcting Codes by : Shu Lin

Download or read book An Introduction to Error-correcting Codes written by Shu Lin. This book was released on 1970. Available in PDF, EPUB and Kindle. Book excerpt: Codes, Kodierung (Telegrafie) ; Kodierung, Datendarstellung, Bit, Byte (EDV).

Error-Correcting Linear Codes

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Release : 2006-09-21
Genre : Mathematics
Kind : eBook
Book Rating : 031/5 ( reviews)

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Book Synopsis Error-Correcting Linear Codes by : Anton Betten

Download or read book Error-Correcting Linear Codes written by Anton Betten. This book was released on 2006-09-21. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically.

A Commonsense Approach to the Theory of Error Correcting Codes

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Author :
Release : 1988
Genre : Computers
Kind : eBook
Book Rating : 986/5 ( reviews)

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Book Synopsis A Commonsense Approach to the Theory of Error Correcting Codes by : Benjamin Arazi

Download or read book A Commonsense Approach to the Theory of Error Correcting Codes written by Benjamin Arazi. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt: Teaching the theory of error correcting codes on an introductory level is a difficulttask. The theory, which has immediate hardware applications, also concerns highly abstractmathematical concepts. This text explains the basic circuits in a refreshingly practical way thatwill appeal to undergraduate electrical engineering students as well as to engineers and techniciansworking in industry.Arazi's truly commonsense approach provides a solid grounding in the subject,explaining principles intuitively from a hardware perspective. He fully covers error correctiontechniques, from basic parity check and single error correction cyclic codes to burst errorcorrecting codes and convolutional codes. All this he presents before introducing Galois fieldtheory - the basic algebraic treatment and theoretical basis of the subject, which usually appearsin the opening chapters of standard textbooks. One entire chapter is devoted to specific practicalissues, such as Reed-Solomon codes (used in compact disc equipment), and maximum length sequences(used in various fields of communications). The basic circuits explained throughout the book areredrawn and analyzed from a theoretical point of view for readers who are interested in tackling themathematics at a more advanced level.Benjamin Arazi is an Associate Professor in the Department ofElectrical and Computer Engineering at the Ben-Gurion University of the Negev. His book is includedin the Computer Systems Series, edited by Herb Schwetman.

Foundations of Coding

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Release : 2011-02-14
Genre : Computers
Kind : eBook
Book Rating : 512/5 ( reviews)

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Book Synopsis Foundations of Coding by : Jiri Adamek

Download or read book Foundations of Coding written by Jiri Adamek. This book was released on 2011-02-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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