Tao Zhang

collaborators

2 papers

math.CO2026

A proof of purely singular splitting conjecture

Ka Hin Leung, Tao Zhang

A set $M$ of nonzero integers is said to split a finite abelian group $G$ if there exists a subset $S \subseteq G$ such that $M \cdot S = G ∖ {0}$ . Such a splitting is called…

math.CO2025

On lattice tilings of $Z^{n}$ by limited magnitude error balls $B (n, 2, k_{1}, k_{2})$ with $k_{1} > k_{2}$

Ka Hin Leung, Ran Tao, Daohua Wang +1

Lattice tilings of $Z^{n}$ by limited-magnitude error balls correspond to linear perfect codes under such error models and play a crucial role in flash memory applications.…

A proof of purely singular splitting conjecture

On lattice tilings of Zn by limited magnitude error balls B(n,2,k1​,k2​) with k1​>k2​

On lattice tilings of $Z^{n}$ by limited magnitude error balls $B (n, 2, k_{1}, k_{2})$ with $k_{1} > k_{2}$