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An Introduction to Error Correcting Codes with Applications

  • Scott A. Vanstone
  • Paul C. van Oorschot

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Scott A. Vanstone, Paul C. van Oorschot
    Pages 1-20
  3. Scott A. Vanstone, Paul C. van Oorschot
    Pages 21-44
  4. Scott A. Vanstone, Paul C. van Oorschot
    Pages 45-113
  5. Scott A. Vanstone, Paul C. van Oorschot
    Pages 115-145
  6. Scott A. Vanstone, Paul C. van Oorschot
    Pages 147-200
  7. Scott A. Vanstone, Paul C. van Oorschot
    Pages 201-235
  8. Scott A. Vanstone, Paul C. van Oorschot
    Pages 237-266
  9. Back Matter
    Pages 267-289

About this book

Introduction

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.

Keywords

Audio Generator Interleaving algorithms coding tables

Authors and affiliations

  • Scott A. Vanstone
    • 1
  • Paul C. van Oorschot
    • 2
  1. 1.University of WaterlooCanada
  2. 2.Bell Northern ResearchCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-2032-7
  • Copyright Information Springer-Verlag US 1989
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-5117-5
  • Online ISBN 978-1-4757-2032-7
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site