Finite Fields

This book is devoted entirely to the theory of finite fields.

Rudolf Lidl (Author), Harald Niederreiter (Author)

9780521065672, Cambridge University Press

Paperback / softback, published 19 June 2008

772 pages
23.5 x 15.5 x 4 cm, 1.08 kg

Review of the hardback: 'An excellent and self-contained book.' European Mathematical Society

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 ciruits. 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.

1. Algebraic foundations
2. Structure of finite fields
3. Polynomials over finite fields
4. Factorization of polynomials
5. Exponential sums
6. Equations over finite fields
7. Permutation polynomials
8. Linear recurring sequences
9. Applications of finite fields
10. Tables.

Subject Areas: Algebra [PBF]