Abstract:
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 ...Show MoreMetadata
Abstract:
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) .
Published in: IEEE Transactions on Information Theory ( Volume: 69, Issue: 11, November 2023)