Vol. 6+7, No. 1, 2008
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A $t \pmod{p}$ result on weighted multiple $(n-k)$-blocking sets in $\mathsf{PG}(n,q)$

Sandy Ferret, Leo Storme, Péter Sziklai and Zsuzsa Weiner
Vol. 6+7 (2008), No. 1, 169–188
DOI: 10.2140/iig.2008.6.169
Abstract

In this article, we prove a t(modp) result for minimal weighted t-fold (n−k)-blocking sets in PG(n,q), q = ph, p prime, h ≥ 1, n ≥ 2. Such a theorem plays a crucial role in characterizing minimal weighted t-fold (n−k)-blocking sets. Our result is based on generalizations of earlier theorems on blocking sets in PG(2,q) to weighted blocking sets of higher dimensions.

Keywords
weighted multiple blocking sets, t mod p result
Mathematical Subject Classification 2000
Primary: 05B25, 51E20, 51E21
Milestones
Received: 11 January 2008
Accepted: 26 February 2008
Authors
Sandy Ferret
Leo Storme
State University of Ghent (RUG)
Belgium
Péter Sziklai
Zsuzsa Weiner