  Monogamy and polygamy relations characterize the quantum correlation
distributions among multipartite quantum systems. We investigate the monogamy
and polygamy relations satisfied by measures of general quantum correlation. By
using the Hamming weight, we derive new monogamy and polygamy inequalities
satisfied by the $\beta$-th power and the $\alpha$-th power of general quantum
correlations, respectively. We show that these monogamy and polygamy relations
are tighter than the existing ones, such as [Int. J. Theor. Phys. 60, 1455-1470
(2021)]. Taking concurrence and the Tsallis-$q$ entanglement of assistance as
examples, we show the advantages of our results.
