  The monogamy property of entanglement is an intriguing feature of
multipartite quantum entanglement. Most entanglement measures satisfying the
monogamy inequality are turned out to be convex. Whether nonconvex entanglement
measures obeys the monogamy inequalities remains less known at present. As a
well known measure of entanglement, the logarithmic negativity is not convex.
We elucidate the constraints of multi-qubit entanglement based on the
logarithmic convex-roof extended negativity (LCREN) and the logarithmic
convex-roof extended negativity of assistance (LCRENoA). Using the Hamming
weight derived from the binary vector associated with the distribution of
subsystems, we establish monogamy inequalities for multi-qubit entanglement in
terms of the $\alpha$th-power ($\alpha\geq 4\ln2$) of LCREN, and polygamy
inequalities utilizing the $\alpha$th-power ($0 \leq \alpha \leq 2$) of
LCRENoA. We demonstrate that these inequalities give rise to tighter
constraints than the existing ones. Furthermore, our monogamy inequalities are
shown to remain valid for the high dimensional states that violate the CKW
monogamy inequality. Detailed examples are presented to illustrate the
effectiveness of our results in characterizing the multipartite entanglement
distributions.
