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Coding Theory

Coding Theory

Coding Theory

A First Course
San Ling, National University of Singapore
Chaoping Xing, National University of Singapore
March 2004
Paperback
9780521529235

    Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.

    • Clear, accessible and designed with the student in mind
    • Includes essential modern material that other books cover badly
    • Includes a wealth of examples and exercises

    Reviews & endorsements

    "This book is well written and highly recommended for students and professionals in engineering, computer science, mathematics and related fields." Mathematical Reviews

    See more reviews

    Product details

    March 2004
    Paperback
    9780521529235
    236 pages
    244 × 173 × 13 mm
    0.54kg
    50 b/w illus.
    Available

    Table of Contents

    • 1. Introduction
    • 2. Error detection, correction and decoding
    • 3. Finite fields
    • 4. Linear codes
    • 5. Bounds in coding theory
    • 6. Constructions of linear codes
    • 7. Cyclic codes
    • 8. Some special cyclic codes
    • 9. Goppa codes.