Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cross-Error Correcting Integer Codes over $\mathbb{Z}_{2^m}$   In this work we investigate codes in $\mathbb{Z}_{2^m}^n$ that can correct
errors that occur in just one coordinate of the codeword, with a magnitude of
up to a given parameter $t$. We will show upper bounds on these cross codes,
derive constructions for linear codes and respective decoding algorithm. The
constructions (and decoding algorithms) are given for length $n = 2$ and $n =
3$, but for general $m$ and $t$.

19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin