Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathbb{Z}_{q}(\mathbb{Z}_{q}+u\mathbb{Z}_{q})$-Linear Skew
  Constacyclic Codes   In this paper, we study skew constacyclic codes over the ring
$\mathbb{Z}_{q}R$ where $R=\mathbb{Z}_{q}+u\mathbb{Z}_{q}$, $q=p^{s}$ for a
prime $p$ and $u^{2}=0$. We give the definition of these codes as subsets of
the ring $\mathbb{Z}_{q}^{\alpha}R^{\beta}$. Some structural properties of the
skew polynomial ring $ R[x,\theta]$ are discussed, where $ \theta$ is an
automorphism of $R$. We describe the generator polynomials of skew constacyclic
codes over $ R $ and $\mathbb{Z}_{q}R$. Using Gray images of skew constacyclic
codes over $\mathbb{Z}_{q}R$ we obtained some new linear codes over
$\mathbb{Z}_4$. Further, we have generalized these codes to double skew
constacyclic codes over $\mathbb{Z}_{q}R$.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg