Book contents
- Frontmatter
- Contents
- Preface
- Dedication
- 1 Introduction
- 2 Introduction to Algebra
- 3 Linear Block Codes
- 4 The Arithmetic of Galois Fields
- 5 Cyclic Codes
- 6 Codes Based on the Fourier Transform
- 7 Algorithms Based on the Fourier Transform
- 8 Implementation
- 9 Convolutional Codes
- 10 Beyond BCH Codes
- 11 Codes and Algorithms Based on Graphs
- 12 Performance of Error-Control Codes
- 13 Codes and Algorithms for Majority Decoding
- Bibliography
- Index
Preface
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Dedication
- 1 Introduction
- 2 Introduction to Algebra
- 3 Linear Block Codes
- 4 The Arithmetic of Galois Fields
- 5 Cyclic Codes
- 6 Codes Based on the Fourier Transform
- 7 Algorithms Based on the Fourier Transform
- 8 Implementation
- 9 Convolutional Codes
- 10 Beyond BCH Codes
- 11 Codes and Algorithms Based on Graphs
- 12 Performance of Error-Control Codes
- 13 Codes and Algorithms for Majority Decoding
- Bibliography
- Index
Summary
This book is a second edition of my 1983 book Theory and Practice of Error Control Codes. Some chapters from that earlier book reappear here with minor changes. Most chapters, however, have been completely rewritten. Some old topics have been removed, and some new topics have been inserted.
During the two decades since the publication of that first edition, error-control codes have become commonplace in communications and storage equipment. Many such communication and storage devices, including the compact disk, that are now in general use could not exist, or would be much more primitive, if it were not for the subject matter covered by that first edition and repeated in this edition.
The second edition retains the original purpose of the first edition. It is a rigorous, introductory book to the subject of algebraic codes for data transmission. In fact, this phrase, “algebraic codes for data transmission,” has been chosen as the title of the second edition because it reflects a more modern perspective on the subject.
Standing alongside the class of algebraic codes that is the subject of this book is another important class of codes, the class of nonalgebraic codes for data transmission. That rapidly developing branch of the subject, which is briefly treated in Chapter 11 of this edition, deserves a book of its own; this may soon appear now that the topic is reaching a more mature form.
- Type
- Chapter
- Information
- Algebraic Codes for Data Transmission , pp. xi - xiiPublisher: Cambridge University PressPrint publication year: 2003