An introduction to error correcting codes with applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston u.a.
Kluwer Acad. Press
1989
|
| Series: | The Kluwer international series in engineering and computer science
71 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 289 S. |
| ISBN: | 0792390172 |
Staff View
MARC
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| 245 | 1 | 0 | |a An introduction to error correcting codes with applications |c by Scott A. Vanstone and Paul C. van Oorschot |
| 264 | 1 | |a Boston u.a. |b Kluwer Acad. Press |c 1989 | |
| 300 | |a XV, 289 S. | ||
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| 650 | 4 | |a Codes correcteurs d'erreurs (Théorie de l'information) | |
| 650 | 4 | |a Données - Transmission | |
| 650 | 4 | |a Data transmission systems | |
| 650 | 4 | |a Error-correcting codes (Information theory) | |
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Record in the Search Index
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| adam_text | Table of Contents
apter 1 Introduction and Fundamentals
1 An Introduction to Coding Theory 1
T 2 Applications of Error Correcting Codes 4
1 3 Fundamental Concepts 5
1 4 Some Questions 15
1 5 Exercises 17
Chapter 2 Finite Fields
2 1 Introduction 21
2 2 Irreducible Polynomials 28
2 3 Properties of Finite Fields 29
2 4 The Minimal Polynomial 32
2 5 Examples of Finite Fields 35
2 6 Zech’s Log Tables 39
2 7 Exercises 42
Chapter 3 Linear Codes
3 1 Introduction 45
3 2 Generator Matrices and the Dual Code 51
3 3 The Parity-Check Matrix 57
3 4 Hamming Codes and Perfect Codes 65
3 5 Decoding Single-Error Correcting Codes 67
3 6 Standard Array Decoding 69
3 7 Step-by-Step Decodingt 78
3 8 Weight Distribution and Weight Enumeratorsf 81
3 9 Exercises 95
Chapter 4 Some Special Linear Codes
4 1 Introduction 115
4 2 First Order Reed-Muller Codest 115
4 3 Self-Dual Codes and the Binary Golay Codef 130
4 4 Exercises 139
t This section may be omitted without loss of continuity
(V)
Chapter 5 Cyclic Codes
5 1 Introduction 147
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 *-1 over GF(q) 181
5 9 Another Method for Factoring *-1 over GF( ?)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 Codesf 210
6 4 Decoding BCH Codes 215
6 5 Linearized Polynomials and Finding Roots of Polynomials !* 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 7 Exercises 261
Appendix
A: Review of Vector Spaces 267
B: The Division Algorithm and the Euclidean Algorithm 269
C: The Chinese Remainder Theorem 275
D: Field Representations and Zech’s Log Tables 277
|
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| dewey-hundreds | 000 - Computer science, information, general works |
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| discipline | Informatik Mathematik |
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| id | DE-604.BV002645680 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:47:51Z |
| institution | BVB |
| isbn | 0792390172 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001697589 |
| oclc_num | 19456689 |
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| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-739 DE-29T |
| physical | XV, 289 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Kluwer Acad. Press |
| record_format | marc |
| series | The Kluwer international series in engineering and computer science |
| series2 | The Kluwer international series in engineering and computer science |
| spelling | Vanstone, Scott A. Verfasser aut An introduction to error correcting codes with applications by Scott A. Vanstone and Paul C. van Oorschot Boston u.a. Kluwer Acad. Press 1989 XV, 289 S. txt rdacontent n rdamedia nc rdacarrier The Kluwer international series in engineering and computer science 71 Codes correcteurs d'erreurs (Théorie de l'information) Données - Transmission Data transmission systems Error-correcting codes (Information theory) Fehlerkorrekturcode (DE-588)4124917-3 gnd rswk-swf Fehlerkorrekturcode (DE-588)4124917-3 s DE-604 Oorschot, Paul C. van Verfasser aut The Kluwer international series in engineering and computer science 71 (DE-604)BV023545171 71 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001697589&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vanstone, Scott A. Oorschot, Paul C. van An introduction to error correcting codes with applications The Kluwer international series in engineering and computer science Codes correcteurs d'erreurs (Théorie de l'information) Données - Transmission Data transmission systems Error-correcting codes (Information theory) Fehlerkorrekturcode (DE-588)4124917-3 gnd |
| subject_GND | (DE-588)4124917-3 |
| title | An introduction to error correcting codes with applications |
| title_auth | An introduction to error correcting codes with applications |
| title_exact_search | An introduction to error correcting codes with applications |
| title_full | An introduction to error correcting codes with applications by Scott A. Vanstone and Paul C. van Oorschot |
| title_fullStr | An introduction to error correcting codes with applications by Scott A. Vanstone and Paul C. van Oorschot |
| title_full_unstemmed | An introduction to error correcting codes with applications by Scott A. Vanstone and Paul C. van Oorschot |
| title_short | An introduction to error correcting codes with applications |
| title_sort | an introduction to error correcting codes with applications |
| topic | Codes correcteurs d'erreurs (Théorie de l'information) Données - Transmission Data transmission systems Error-correcting codes (Information theory) Fehlerkorrekturcode (DE-588)4124917-3 gnd |
| topic_facet | Codes correcteurs d'erreurs (Théorie de l'information) Données - Transmission Data transmission systems Error-correcting codes (Information theory) Fehlerkorrekturcode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001697589&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023545171 |
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