Error Correcting Codes

A Mathematical Introduction

D J. Baylis

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Paperback

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English

Chapman and Hall
04 December 1997

Information theory; Mathematics; Mathematical theory of computation

Series: Chapman Hall/CRC Mathematics Series

Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.

Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in

linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the

reader, with comprehensive solutions provided.

Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

By: D J. Baylis
Imprint: Chapman and Hall
Country of Publication: United Kingdom
Volume: 15
Dimensions: Height: 234mm, Width: 156mm, Spine: 12mm
Weight: 430g
ISBN: 9780412786907
ISBN 10: 0412786907
Series: Chapman Hall/CRC Mathematics Series
Pages: 232
Publication Date: 04 December 1997
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Preface, 1 Setting the scene, 2 Reducing the price, 3 Number theory ~ arithmetic for codes, 4 Block codes - some constraints and some geometry, 5 The power of linearity, 6 The Hamming family and friends, 7 Polynomials for codes, 8 Cyclic codes, 9 The Reed-Muller family of codes, Appendix. A Solutions, answers, hints, References, Index

Baylis, D J.