Finite Fields

Klappentext 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 circuits. 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. Zusammenfassung 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. Inhaltsverzeichnis 1. Algebraic foundations; 2. Structure of finite fields; 3. Polynomials over finite fields; 4. Factorization of polynomials; 5. Exponential sums; 6. Equations over finite fields; 7. Permutation polynomials; 8. Linear recurring sequences; 9. Applications of finite fields; 10. Tables.

Product details

• Authors: Rudolf Lidl, Rudolf Niederreiter Lidl, Harald Niederreiter
• Assisted by: B. Doran (Editor), G. -C Rota (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 24.10.1996
• EAN: 9780521392310
• ISBN: 978-0-521-39231-0
• No. of pages: 772
• Series: Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra