2 papers
math.CO2026
On the Lattice Tilings by Lee Balls: Q-Polynomials, Group-Ring Equations, and a Decision Algorithm
Ang Xiao, Yue Zhou
More than 50 years ago, Golomb and Welch conjectured that no tilings of by Lee balls of radius exist for and . This conjecture remains open…
cs.IT2025
On the equivalence of NMDS codes
Jianbing Lu, Yue Zhou
An linear code is said to be maximum distance separable (MDS) or almost maximum distance separable (AMDS) if or , respectively. If a code and its dual co…