Introduction to Finite Fields and Their Applications

Front Cover
Cambridge University Press, Jul 21, 1994 - Mathematics - 416 pages
0 Reviews
The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this book presents an introduction to this theory, emphasizing those aspects that are relevant for application. The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory, and cryptology. There is also a chapter on applications within mathematics, such as finite geometries, combinatorics and pseudo-random sequences. The book is designed as a graduate level textbook; worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Structure of Finite Fields
44
Polynomials over Finite Fields
76
Factorization of Polynomials
132
Exponential Sums
166
Linear Recurring Sequences
189
Theoretical Applications of Finite Fields
256
Algebraic Coding Theory
305
Cryptology
344
Tables
374
Bibliography
399
List of Symbols
406
Copyright

Common terms and phrases

Popular passages

Page 404 - Q = the set of rational numbers R = the set of real numbers C = the set of complex numbers Even if we can list the elements of a set, it may not be practical to do so.

References to this book

All Book Search results »

About the author (1994)

fm.author_biographical_note1

fm.author_biographical_note2

Bibliographic information