On Lattice Tilings of ℤn by Limited Magnitude Error Balls B(n, 2, 1, 1)

Limited magnitude error model has applications in flash memory. In this model, a perfect code is equivalent to a tiling of
$\mathbb {Z}^{n}$
by limited magnitude error balls. In this paper, we give a complete classification of lattice tilings of
$\mathbb {Z}^{n}$
by limited magnitude error balls
$\mathcal {B}(n,2,1,1)$
.