ISSN:
1420-8997
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Let R and V be two skew subspaces with dimensions r and v of P=PG(d,q). If q is a square, then there is a Baer subspace V* of V, i.e. a subspace of dimension v and order √q. We call the set C(R,V*)= $$\mathop \cup \limits_p $$ , where the union is taken over all PεV*, aBaer cone oftype (r,v). A (t.s)- blocking set is a set B of points of p such that any (d-t)-dimensional subspace is incident with at least one point of B, and no sdimensional subspace is contained in B. We show that for every (t,s)-blocking set B in PG(d,q) we have ¦B≥ qt +...+1 + √q(qt−1+...+qs−1) with equality if and only if B is a Baer cone of type (s−2,2(t−s+1)).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01221941
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