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Finite fields : normal bases and completely free elements

Finite fields : normal bases and completely free elements (4회 대출)

자료유형
단행본
개인저자
Hachenberger, Dirk.
서명 / 저자사항
Finite fields : normal bases and completely free elements / by Dirk Hachenberger.
발행사항
Boston :   Kluwer Academic Publishers,   c1997.  
형태사항
xii, 171 p. ; 25 cm.
총서사항
The Kluwer international series in engineering and computer science ;SECS 390.
ISBN
0792398513 (alk. paper)
서지주기
Includes bibliographical references (p. [161]-164) and index.
일반주제명
Normal basis theorem. Finite fields (Algebra).
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008 961104s1997 mau b 001 0 eng
010 ▼a 96047923
020 ▼a 0792398513 (alk. paper)
040 ▼a DLC ▼c DLC ▼d DLC ▼d 244002
049 0 ▼l 151047866 ▼l 151046088
050 0 0 ▼a QA247.3 ▼b .H33 1997
082 0 0 ▼a 512/.3 ▼2 21
090 ▼a 512.3 ▼b H117f
100 1 ▼a Hachenberger, Dirk.
245 1 0 ▼a Finite fields : ▼b normal bases and completely free elements / ▼c by Dirk Hachenberger.
260 ▼a Boston : ▼b Kluwer Academic Publishers, ▼c c1997.
300 ▼a xii, 171 p. ; ▼c 25 cm.
440 4 ▼a The Kluwer international series in engineering and computer science ; ▼v SECS 390.
504 ▼a Includes bibliographical references (p. [161]-164) and index.
650 0 ▼a Normal basis theorem.
650 0 ▼a Finite fields (Algebra).

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실/ 청구기호 512.3 H117f 등록번호 151046088 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 2 소장처 세종학술정보원/학과비치/ 청구기호 512.3 H117f 등록번호 151047866 도서상태 대출중 반납예정일 2030-12-31 예약 서비스 M

컨텐츠정보

목차

Preface. I: Introduction and Outline. 1. The Normal Basis Theorem. 2. A Strengthening of the Normal Basis Theorem. 3. Preliminaries on Finite Fields. 4. A Reduction Theorem. 5. Particular Extensions of Prime Power Degree. 6. An Outline. II: Module Structures in Finite Fields. 7. On Modules over Principal Ideal Domains. 8. Cyclic Galois Extensions. 9. Algorithms for Determining Free Elements. 10. Cyclotomic Polynomials. III: Simultaneous Module Structures. 11. Subgroups Respecting Various Module Structures. 12. Decompositions Respecting Various Module Structures. 13. Extensions of Prime Power Degree (1). IV: The Existence of Completely Free Elements. 14. The Two-Field Problem. 15. Admissibility. 16. Extendability. 17. Extensions of Prime Power Degree (2). V: A Decomposition Theory. 18. Suitable Polynomials. 19. Decompositions of Completely Free Elements. 20. Regular Extensions. 21. Enumeration. VI: Explicit Constructions. 22. Strongly Regular Extensions. 23. Exceptional Cases. 24. Constructions in Regular Extensions. 25. Product Constructions. 26. Iterative Constructions. 27. Polynomial Constructions. References. List of Symbols. Index.


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