Finite Fields, Volume 20, Part 1

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Cambridge University Press, Jan 1, 1997 - Mathematics - 755 pages
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The theory of finite fields is a branch of algebra that has come to the fore becasue 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. Workd out examples and lists of exercises found throughout the book make it useful as a text for advanced level courses.
  

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Contents

Structure of Finite Fields
47
Polynomials over Finite Fields
83
Factorization of Polynomials
147
Exponential Sums
186
Equations over Finite Fields
268
Permutation Polynomials
347
Linear Recurring Sequences
394
Applications of Finite Fields
470
Tables
541
Bibliography
567
List of Symbols
727
Subject Index
747
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