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An Introduction to Error Correcting Codes with Applications

  • Textbook
  • © 1989

Overview

Authors:
  1. Scott A. Vanstone

    1. University of Waterloo, Canada

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    You can also search for this author in PubMed   Google Scholar

  2. Paul C. Oorschot

    1. Bell Northern Research, Canada

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvii
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  2. INTRODUCTION and FUNDAMENTALS

    • Scott A. Vanstone, Paul C. van Oorschot
    Pages 1-20

  3. Finite Fields

    • Scott A. Vanstone, Paul C. van Oorschot
    Pages 21-44

  4. Linear Codes

    • Scott A. Vanstone, Paul C. van Oorschot
    Pages 45-113

  5. Some Special Linear Codes

    • Scott A. Vanstone, Paul C. van Oorschot
    Pages 115-145

  6. Cyclic Codes

    • Scott A. Vanstone, Paul C. van Oorschot
    Pages 147-200

  7. BCH CODES and BOUNDS FOR CYCLIC CODES

    • Scott A. Vanstone, Paul C. van Oorschot
    Pages 201-235

  8. ERROR CORRECTION TECHNIQUES and DIGITAL AUDIO RECORDING

    • Scott A. Vanstone, Paul C. van Oorschot
    Pages 237-266

  9. Back Matter

    Pages 267-289
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About this book

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.

Authors and Affiliations

  • University of Waterloo, Canada

    Scott A. Vanstone

  • Bell Northern Research, Canada

    Paul C. Oorschot

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