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  • Textbook
  • © 1989

An Introduction to Error Correcting Codes with Applications

Authors:

  1. Scott A. Vanstone

    1. University of Waterloo, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Paul C. Oorschot

    1. Bell Northern Research, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 71)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvii
    PDF

  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.
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Keywords

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Authors and Affiliations

  • University of Waterloo, Canada

    Scott A. Vanstone

  • Bell Northern Research, Canada

    Paul C. Oorschot

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Bibliographic Information

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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