| 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). |
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| 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 |
| 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 |
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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