Introduction to Finite Fields and Their Applications

Rudolf Lidl

ISBN 10: 0521460948 / ISBN 13: 9780521460941

Published by Cambridge University Press, 2002

About this Item

Focusing on the theory of finite fields, this book offers a comprehensive introduction that highlights its applications in combinatorics, coding theory, cryptology, and switching circuits. It is structured in two parts: the first covers fundamental concepts, while the second explores significant applications, especially in information theory and algebraic coding. With numerous worked examples and exercises, the text caters to advanced undergraduates and graduate students from various disciplines, making it accessible even to non-specialists interested in this vital area of modern algebra.

Seller Inventory # b235f920-be55-40e6-8cd4-f3e3bcbcea74

Bibliographic Details

• Title: Introduction to Finite Fields and Their Applications
• Publisher: Cambridge University Press
• Publication Date: 2002
• Language: English
• ISBN 10: 0521460948
• ISBN 13: 9780521460941
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: As New

About this title

Synopsis

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.

From the Back Cover

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, emphasising 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 meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions for material covered in the text, are provded throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in applied algebra whether they have backgrounds in mathematics, electrical engineering or computer science. Non-specialists will also find this a readily accessible introduction to an active and increasingly important subject.