منابع مشابه
On (q2+q+2, q+2)-arcs in the Projective Plane PG(2, q)
A (k; n)-arc in PG(2; q) is usually deened to be a set K of k points in the plane such that some line meets K in n points but such that no line meets K in more than n points. There is an extensive literature on the topic of (k; n)-arcs. Here we keep the same deenition but allow K to be a multiset, that is, permit K to contain multiple points. The case k = q 2 + q + 2 is of interest because it i...
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متن کاملHyperovals of H(3, q2) when q is even
For even q, a group G isomorphic to PSL(2, q) stabilizes a Baer conic inside a symplectic subquadrangle W(3, q) of H(3, q2). In this paper the action of G on points and lines of H(3, q2) is investigated. A construction is given of an infinite family of hyperovals of size 2(q3−q) of H(3, q2), with each hyperoval having the property that its automorphism group contains G. Finally it is shown that...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2004
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.03.002