Sep 13, 2005 · We will show that, in case of a maximal partial spread of size 76 in PG(3,9), two non-isomorphic candidate sets for the set of holes satisfying ...
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 ...
The weight argument of Blokhuis and Metsch [3] then shows that these sets cannot be the set of holes of a maximal partial spread of size 76. In [17], the non- ...
Jun 8, 2009 · 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 ...
This paper outlines a construction method which has been used for minimal blocking sets in PG(2, q) and maximal partial line spreads in PG (n, q), ...
On the non-existence of a maximal partial spread of size 76 in PG(3, 9) · Minimal Blocking Sets in PG(2, 8) and Maximal Partial Spreads in PG(3, 8) · On Maximal ...
Storme, On the non-existence of a maximal partial spread of size 76 in PG(3,9) Ars Combinatoria, 89 (2008), 369-382, ISSN: 0381-7032 [39] F. Pambianco, S ...
Ebert and Hirschfeld studied the smallest maximal partial spreads of H ( 3 , q 2 ) [10]. They prove that every maximal partial spread has size at least ...
Anexample of a maximal partial spread of size 45 in PG(3,7)is given. This example shows that a conjecture of Bruen and Thasfrom 1976 is false.
A partial t-spread of PG(n, q) is a set of mutually disjoint t-spaces in PG(n, q). It is called maximal if no t-space can be added to obtain a larger partial t- ...
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