Finite fields / Rudolf Lidl, University of Tasmania, Hobart, Australia ; Harald Niederreiter, Austrian Academy of Sciences, Vienna, Austria ; foreword by P.M. Cohn, University of London, London, England

Edition

Second edition

Published

Cambridge ; New York : Cambridge University Press, 1997

Ch. 1. Algebraic Foundations -- Ch. 2. Structure of Finite Fields -- Ch. 3. Polynomials over Finite Fields -- Ch. 4. Factorization of Polynomials -- Ch. 5. Exponential Sums -- Ch. 6. Equations over Finite Fields -- Ch. 7. Permutation Polynomials -- Ch. 8. Linear Recurring Sequences -- Ch. 9. Applications of Finite Fields -- Ch. 10. Tables

Summary

The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching circuits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature. Bibliographical notes at the end of each chapter give an historical survey of the development of the subject. Worked out examples and lists of exercises found throughout the book make it useful as a text for advanced level courses

Bibliography

Includes bibliographical references (pages 567-726) and indexes