Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Repeated Root Constacyclic Codes of Length $mp^s$ over
  $\mathbb{F}_{p^r}+u \mathbb{F}_{p^r}+...+ u^{e-1}\mathbb{F}_{p^r}$   We give the structure of $\lambda$-constacyclic codes of length $p^sm$ over
$R=\mathbb{F}_{p^r}+u \mathbb{F}_{p^r}+...+ u^{e-1}\mathbb{F}_{p^r}$ with
$\lambda \in \F_{p^r}^*$. We also give the structure of $\lambda$-constacyclic
codes of length $p^sm$ with $\lambda=\alpha_1+u\alpha_2+...+u^{e-1}
\alpha_{e-1}$, where $\alpha_1,\alpha_2 \neq 0$ and study the self-duality of
these codes.

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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
28
The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an