Finite fields
著者
書誌事項
Finite fields
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 20）
Cambridge University Press, 2008
2nd ed
- : pbk
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注記
Bibliography:p. 567-726
Includes indexes
"Second edition published by Cambridge University Press 1997. Reprinted 2000. This digitally printed version 2008"--T.p. verso
内容説明・目次
内容説明
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.
目次
- 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.
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