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Finite fields / Rudolf Lidl, Harald Niederreiter ; foreword by P.M. Cohn.

By: Contributor(s): Material type: TextTextSeries: Encyclopedia of mathematics and its applications ; v. 20.Publisher: Cambridge : Cambridge University Press, 1997Edition: Second editionDescription: 1 online resource (xiv, 755 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511525926 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.3 20
LOC classification:
  • QA247.3 .L53 1997
Online resources:
Contents:
Ch. 1. Algebraic Foundations -- Ch. 2. Structure of Finite Fields -- Ch. 3. Polynomials over Finite Fields -- Ch. 4. Factorization of Polynomials -- Ch. 5. Exponential Sums -- Ch. 6. Equations over Finite Fields -- Ch. 7. Permutation Polynomials -- Ch. 8. Linear Recurring Sequences -- Ch. 9. Applications of Finite Fields -- Ch. 10. Tables.
Summary: The theory of finite fields is a branch of algebra that has come to the fore because 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. Worked-out examples and lists of exercises found throughout the book make it useful as a text for advanced-level courses.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Ch. 1. Algebraic Foundations -- Ch. 2. Structure of Finite Fields -- Ch. 3. Polynomials over Finite Fields -- Ch. 4. Factorization of Polynomials -- Ch. 5. Exponential Sums -- Ch. 6. Equations over Finite Fields -- Ch. 7. Permutation Polynomials -- Ch. 8. Linear Recurring Sequences -- Ch. 9. Applications of Finite Fields -- Ch. 10. Tables.

The theory of finite fields is a branch of algebra that has come to the fore because 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. Worked-out examples and lists of exercises found throughout the book make it useful as a text for advanced-level courses.

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