منابع مشابه
NEW INDUCTIVE CONSTRUCTIONS OF COMPLETE CAPS IN PG ( N , q ) , q EVEN
Some new families of small complete caps in PG(N, q), q even, are described. By using inductive arguments, the problem of the construction of small complete caps in projective spaces of arbitrary dimensions is reduced to the same problem in the plane. The caps constructed in this paper provide an improvement on the currently known upper bounds on the size of the smallest complete cap in PG(N, q...
متن کاملOn the size of maximal caps in Q(5‚q)
Let q be an odd prime power. A cap of the hyperbolic quadric Qþð5; qÞ is a set of points of Qþð5; qÞ that does not contain three collinear points. It is called maximal, if it is not contained in a larger cap. It is easy to see that a cap has size at most q þ q þ qþ 1 with equality if and only if it meets every plane of Qþð5; qÞ in a conic. Caps of this size do exist. The largest known maximal c...
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on some bayesian statistical models in actuarial science with emphasis on claim count
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15 صفحه اولQuasi-Hermitian varieties in PG(r, q^2), q even
In this paper a new example of quasi–Hermitian variety V in PG(r, q) is provided, where q is an odd power of 2. In higherdimensional spaces, V can be viewed as a generalization of the Buekenhout-Tits unital in the desarguesian projective plane; see [9].
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2018
ISSN: 0012-365X
DOI: 10.1016/j.disc.2017.10.008