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Finite fields : normal bases and completely free elements

Finite fields : normal bases and completely free elements (Loan 4 times)

Material type
단행본
Personal Author
Hachenberger, Dirk.
Title Statement
Finite fields : normal bases and completely free elements / by Dirk Hachenberger.
Publication, Distribution, etc
Boston :   Kluwer Academic Publishers,   c1997.  
Physical Medium
xii, 171 p. ; 25 cm.
Series Statement
The Kluwer international series in engineering and computer science ;SECS 390.
ISBN
0792398513 (alk. paper)
Bibliography, Etc. Note
Includes bibliographical references (p. [161]-164) and index.
Subject Added Entry-Topical Term
Normal basis theorem. Finite fields (Algebra).
000 00854camuuu200241 a 4500
001 000000923816
005 19990120155908.0
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).

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Sejong Academic Information Center/Science & Technology/ Call Number 512.3 H117f Accession No. 151046088 Availability Available Due Date Make a Reservation Service B M
No. 2 Location Sejong Academic Information Center/Course Reserves/ Call Number 512.3 H117f Accession No. 151047866 Availability In loan Due Date 2030-12-31 Make a Reservation Service M

Contents information

Table of Contents

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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