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A First Course in Coding Theory : Oxford Applied Mathematics and Computing Science Series - Raymond Hill

A First Course in Coding Theory

Oxford Applied Mathematics and Computing Science Series

Paperback Published: 12th June 1986
ISBN: 9780198538035
Number Of Pages: 264

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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.

"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 "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 "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 "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

Introduction to Error-Correcting Codes
The Main Coding Theory Problem
An Introduction to Finite Fields
Vector Spaces over Finited Fields
Introduction to Linear Codes
Encoding and Decoding with a Linear Code
The Dual Code, the Parity-Check Matrix, and Syndrome Decoding
The Hamming Codes
Perfect Codes
Codes and Latin Squares
A Double-Error Correcting Decimal Code and an Introduction to BCH Codes
Cyclic Codes
Weight Enumerators
The Main Linear Coding Theory Problem
MDS Codes
Concluding Remarks, Related Topics, and Further Reading
Solutions to Exercises
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780198538035
ISBN-10: 0198538030
Series: Oxford Applied Mathematics and Computing Science Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 264
Published: 12th June 1986
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 22.1 x 14.9  x 1.5
Weight (kg): 0.37