  We provide a generalization for the polygamy constraint of multiparty
entanglement in arbitrary dimensional quantum systems. By using the
$\beta$th-power of entanglement of assistance for $0\leq \beta \leq1$ and the
Hamming weight of the binary vector related with the distribution of
subsystems, we establish a class of weighted polygamy inequalities of
multiparty entanglement in arbitrary dimensional quantum systems. We further
show that our class of weighted polygamy inequalities can even be improved to
be tighter inequalities with some conditions on the assisted entanglement of
bipartite subsystems.
