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Introduction to Finite Fields and their Applications - Rudolf Lidl

Introduction to Finite Fields and their Applications


Published: 26th August 1994
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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 updated edition 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 of material covered in the text, are provided throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in 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.

' ... a model of how a text book should be written; it is clear, unfussy and contains lots of examples ... of particular interest to anybody wishing to teach a course in concrete algebra' Mathematika ' ... a very useful and highly readable introduction to the classical theory and the standard applications of finite fields. It has a clear and precise presentation with many examples and a large selection of exercises.' The Mathematical Gazette

Algebraic foundations
Structure of finite fields
Polynomials over finite fields
Factorization of polynomials
Exponential sums
Linear recurring sequences
Theoretical applications of finite fields
Algebraic coding theory
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521460941
ISBN-10: 0521460948
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 432
Published: 26th August 1994
Country of Publication: GB
Dimensions (cm): 23.52 x 15.77  x 2.69
Weight (kg): 0.73
Edition Number: 2
Edition Type: Revised