A First Course in Coding Theory

by Raymond Hill

Overview

Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study.

Product Details

ISBN-13:	9780198538035
Publisher:	Oxford University Press
Publication date:	04/12/1990
Series:	Oxford Applied Mathematics and Computing Science Series
Edition description:	New Edition
Pages:	264
Product dimensions:	8.51(w) x 5.46(h) x 0.66(d)

About the Author

University of Salford

Table of Contents

1. Introduction to Error-Correcting Codes2. The Main Coding Theory Problem3. An Introduction to Finite Fields4. Vector Spaces over Finited Fields5. Introduction to Linear Codes6. Encoding and Decoding with a Linear Code7. The Dual Code, the Parity-Check Matrix, and Syndrome Decoding8. The Hamming Codes9. Perfect Codes10. Codes and Latin Squares11. A Double-Error Correcting Decimal Code and an Introduction to BCH Codes12. Cyclic Codes13. Weight Enumerators14. The Main Linear Coding Theory Problem15. MDS Codes16. Concluding Remarks, Related Topics, and Further Reading17. Solutions to Exercises

Editorial Reviews

"This clearly written, error-free book with its good problem sets is well worth considering as a text." —SIAM Review

"Given that the author views coding theory as a branch of mathematics, the book is excellent." —The American Mathematical Monthly

From the Publisher