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» Tubes in PG(3, q)
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EJC
2006
13 years 4 months ago
Tubes in PG(3, q)
A tube (resp. an oval tube) in PG(3, q) is a pair T = {L, L}, where {L} L is a collection of mutually disjoint lines of PG(3, q) such that for each plane of PG(3, q) containing L...
Peter J. Cameron, Norbert Knarr
ARSCOM
2008
65views more  ARSCOM 2008»
13 years 5 months ago
On the non-existence of a maximal partial spread of size 76 in PG(3, 9)
We prove the non-existence of maximal partial spreads of size 76 in PG(3, 9). Relying on the classification of the minimal blocking sets of size 15 in PG(2, 9) [22], we show that ...
Olof Heden, Stefano Marcugini, Fernanda Pambianco,...
FQ
2003
Springer
13 years 10 months ago
Symplectic Spreads and Permutation Polynomials
Every symplectic spread of PG(3, q), or equivalently every ovoid of Q(4, q), is shown to give a certain family of permutation polynomials of GF(q) and conversely. This leads to an...
Simeon Ball, Michael Zieve
JCT
2006
72views more  JCT 2006»
13 years 4 months ago
Partial flocks of the quadratic cone
: We prove that in PG(3, q), q > 19, a partial flock of a quadratic cone with q - planes, can be extended to a unique flock if < 1 4 q.
Péter Sziklai
ARSCOM
2008
85views more  ARSCOM 2008»
13 years 5 months ago
Minimal blocking sets in PG(2, 9)
We classify the minimal blocking sets of size 15 in PG(2, 9). We show that the only examples are the projective triangle and the sporadic example arising from the secants to the u...
Fernanda Pambianco, Leo Storme