Finite fields

著者

• Lidl, Rudolf
• Niederreiter, Harald
• Cohn, P. M. (Paul Moritz)

書誌事項

Finite fields

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

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 20）

Cambridge University Press, 1997

2nd ed

注記

Bibliography:p. 567-726

Includes indexes

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA28490533
• ISBN:
  • 0521392314
• LCCN: 96031467
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: xiv, 755 p.
• 大きさ: 24 cm
• 分類:
  • NDC8 : 411.73
  • LCC : QA247.3
  • DC20 : 512/.3
• 件名:
  • LCSH : Finite fields (Algebra)
• 親書誌ID:
  • BA00064663