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EJC
2007
14 years 13 days ago
On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4, q)
We present results on the size of the smallest maximal partial ovoids and on the size of the smallest maximal partial spreads of the generalized quadrangles W(q) and Q(4, q). Key ...
M. Cimráková, Stefaan De Winter, Vee...
EJC
2008
14 years 16 days ago
Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
We present improved lower bounds on the sizes of small maximal partial ovoids and small maximal partial spreads in the classical symplectic and orthogonal polar spaces, and improv...
Jan De Beule, Andreas Klein, Klaus Metsch, Leo Sto...
ARSCOM
2008
85views more  ARSCOM 2008»
14 years 18 days 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
ARSCOM
2008
65views more  ARSCOM 2008»
14 years 18 days 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,...
DCC
2003
IEEE
15 years 1 days ago
Some New Maximal Sets of Mutually Orthogonal Latin Squares
Two ways of constructing maximal sets of mutually orthogonal Latin squares are presented. The first construction uses maximal partial spreads in PG(3, 4)\ PG(3, 2) with r lines, wh...
Patrick Govaerts, Dieter Jungnickel, Leo Storme, J...
DCC
2008
IEEE
15 years 2 days ago
Partial ovoids and partial spreads in hermitian polar spaces
We present improved lower bounds on the sizes of small maximal partial ovoids in the classical hermitian polar spaces, and improved upper bounds on the sizes of large maximal part...
Jan De Beule, Andreas Klein, Klaus Metsch, Leo Sto...