Abstract

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

Keywords

Mathematical Subject Classification 2000

Milestones

Authors