Error Correcting Codes : A Mathematical Introduction book cover
1st Edition

Error Correcting Codes
A Mathematical Introduction

ISBN 9780412786907
Published December 4, 1997 by Chapman and Hall/CRC
232 Pages

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Book Description

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.

Table of Contents

Setting the Scene
Reducing the Price
Number Theory-Arithmetic for Codes
Block Codes-Some Constraints and Some Geometry
The Power of Linearity
The Hamming Family and Friends
Polynomial Algebra
Cyclic Codes
The Reed-Muller Family of Codes

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"…clearly presented and logically constructed…provides lucid coverage …"
-Mathematical Reviews, Issue 99h