An Introduction to Error Correcting Codes with Applications

1. Auflage. Softcover version of original hardcover Auflage 1989
ISBN: 978-1-4419-5117-5
Verlag: Springer

Buch, Englisch, Band 71, 289 Seiten, Previously published in hardcover, Format (B × H): 178 mm x 254 mm, Gewicht: 583 g

Reihe: The Springer International Series in Engineering and Computer Science

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Vanstone, Scott A.

van Oorschot, Paul C.

Fachgebiete

• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Mikroprozessoren

Inhaltsverzeichnis

1 Introduction and Fundamentals.- 2 Finite Fields.- 3 Linear Codes.- 4 Some Special Linear Codes.- Chapters 5 Cyclic Codes.- 6 BCH Codes and Bounds for Cyclic Codes.- 7 Error Correction Techniques and Digital Audio Recording.- A: Review of Vector Spaces.- B: The Division Algorithm and the Euclidean Algorithm.- C: The Chinese Remainder Theorem.- D: Field Representations and Zech’s Log Tables.- References.