First Course in Coding Theory

ISBN-10: 0198538030

ISBN-13: 9780198538035

Edition: 1986

Authors: Raymond Hill

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Description:

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.
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Book details

List price: $85.00
Copyright year: 1986
Publisher: Oxford University Press, Incorporated
Publication date: 4/12/1990
Binding: Paperback
Pages: 264
Size: 5.50" wide x 8.75" long x 0.75" tall
Weight: 0.748
Language: English

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
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