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Overview5. 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. Full Product DetailsAuthor: Scott A. Vanstone , Paul C. van OorschotPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 1st ed. 1989 Volume: 71 Dimensions: Width: 17.80cm , Height: 1.70cm , Length: 25.40cm Weight: 0.588kg ISBN: 9781441951175ISBN 10: 1441951172 Pages: 289 Publication Date: 05 January 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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