Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of cyclic DNA codes over the Ring $\Z_4[u]/\langle u^2-1
  \rangle $ Based on the deletion distance   In this paper, we develop the theory for constructing DNA cyclic codes of odd
length over $R=\Z_4[u]/\langle u^2-1 \rangle$ based on the deletion distance.
Firstly, we relate DNA pairs with a special 16 elements of ring $R$. Cyclic
codes of odd length over $R$ satisfy the reverse constraint and the
reverse-complement constraint are discussed in this paper. We also study the
$GC$-content of these codes and their deletion distance. The paper concludes
with some examples of cyclic DNA codes with $GC$-content and their respective
deletion distance.

9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th