Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Tilings of Asymmetric Limited-Magnitude Balls   We study whether an asymmetric limited-magnitude ball may tile
$\mathbb{Z}^n$. This ball generalizes previously studied shapes: crosses,
semi-crosses, and quasi-crosses. Such tilings act as perfect error-correcting
codes in a channel which changes a transmitted integer vector in a bounded
number of entries by limited-magnitude errors.
  A construction of lattice tilings based on perfect codes in the Hamming
metric is given. Several non-existence results are proved, both for general
tilings, and lattice tilings. A complete classification of lattice tilings for
two certain cases is proved.

6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex