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Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 71)
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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.
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Bibliographic Information
Book Title: An Introduction to Error Correcting Codes with Applications
Authors: Scott A. Vanstone, Paul C. Oorschot
Series Title: The Springer International Series in Engineering and Computer Science
DOI: https://doi.org/10.1007/978-1-4757-2032-7
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1989
Hardcover ISBN: 978-0-7923-9017-6Published: 31 May 1989
Softcover ISBN: 978-1-4419-5117-5Published: 05 January 2011
eBook ISBN: 978-1-4757-2032-7Published: 18 April 2013
Series ISSN: 0893-3405
Edition Number: 1
Number of Pages: XVII, 289
Topics: Electrical Engineering, Signal, Image and Speech Processing, Computer Science, general