Intersections of Hyperconics in Projective Planes of Even Order
| Autor: | James M. McQuillan, Aiden A. Bruen |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Discrete mathematics
Infinite field Algebra and Number Theory Applied Mathematics 010102 general mathematics General Engineering hyperoval 0102 computer and information sciences 01 natural sciences Theoretical Computer Science Lift (mathematics) Combinatorics Blocking set 010201 computation theory & mathematics Equivalence relation PG(2 4) subplane Projective plane 0101 mathematics Projective test Engineering(all) Mathematics |
| Zdroj: | Finite Fields and Their Applications. 7(2):332-340 |
| ISSN: | 1071-5797 |
| DOI: | 10.1006/ffta.2000.0294 |
| Popis: | We show how to lift the even intersection equivalence relation from the hyperovals of PG(2, 4) to an equivalence relation amongst sets of hyperconics in π=PG(2, F). Here, F is any finite or infinite field of characteristic two that contains a subfield of order 4, but does not contain a subfield of order 8. Moreover, we are able to determine the number of points that two hyperconics in π will have in common provided some projective subplane of order 4 intersects both of them in hexads. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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