1st Edition

Error Correcting Codes A Mathematical Introduction

By D J. Baylis Copyright 1998
    232 Pages
    by Chapman & Hall

    232 Pages
    by Chapman & Hall

    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.

    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


    Baylis, D J.

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