## Innovations in Incidence Geometry

### A $t \pmod{p}$ result on weighted multiple $(n-k)$-blocking sets in $\mathsf{PG}(n,q)$

#### Abstract

In this article, we prove a $t ( mod p )$ result for minimal weighted $t$-fold $( n − k )$-blocking sets in $PG ( n , q )$, $q = p h$, $p$ 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.

#### Article information

Source
Innov. Incidence Geom., Volume 6-7, Number 1 (2007), 169-188.

Dates
Accepted: 26 February 2008
First available in Project Euclid: 28 February 2019

https://projecteuclid.org/euclid.iig/1551323177

Digital Object Identifier
doi:10.2140/iig.2008.6.169

Mathematical Reviews number (MathSciNet)
MR2515265

Zentralblatt MATH identifier
1171.51006

#### Citation

Ferret, Sandy; Storme, Leo; Sziklai, Péter; Weiner, Zsuzsa. A $t \pmod{p}$ result on weighted multiple $(n-k)$-blocking sets in $\mathsf{PG}(n,q)$. Innov. Incidence Geom. 6-7 (2007), no. 1, 169--188. doi:10.2140/iig.2008.6.169. https://projecteuclid.org/euclid.iig/1551323177

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