ABSTRACT

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and

part I|2 pages

Introduction

chapter 1|10 pages

History of finite fields

chapter 2|38 pages

Introduction to finite fields

part II|2 pages

Theoretical Properties

chapter 3|34 pages

Irreducible polynomials

chapter 4|14 pages

Primitive polynomials

chapter 5|38 pages

Bases

chapter 6|54 pages

Exponential and character sums

chapter 7|22 pages

Equations over finite fields

chapter 8|26 pages

Permutation polynomials

chapter 9|62 pages

Special functions over finite fields

chapter 10|42 pages

Sequences over finite fields

chapter 11|60 pages

Algorithms

chapter 12|88 pages

Curves over finite fields

chapter 13|54 pages

Miscellaneous theoretical topics

part III|2 pages

Applications

chapter 14|110 pages

Combinatorial

chapter 15|82 pages

Algebraic coding theory

chapter 16|84 pages

Cryptography

chapter 17|26 pages

Miscellaneous applications