Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correcting Codes for Asymmetric Single Magnitude Four Error   An error model with asymmetric single magnitude four error is considered.
This paper is about constructions of codes correcting single error over
$\mathbb{Z}_{2^{a}3^{b}r}$. Firstly, we reduce the construction of a maximal
size $B_{1}[4](2^{a}3^{b}r)$ set for $a\geq4$ and $\gcd(r,6)=1$ to the
construction of a maximal size $B_{1}[4](2^{a-3}3^{b}r)$ set. Further, we will
show that maximal size $B_{1}[4](8\cdot3^{b}r)$ sets can be reduced to maximal
size $B_{1}[4](3^{b}r)$ sets. Finally, we give a lower bounds of maximal size
$B_{1}[4](2r)$ and $B_{1}[4](2\cdot3^{b}r)$ sets.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat