Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On cyclic DNA codes over the rings Z_{4}+wZ_{4} and
  Z_{4}+wZ_{4}+vZ_{4}+wvZ_{4}   The structures of cyclic DNA codes of odd length over the finite rings
R=Z_{4}+wZ_{4}, w^{2}=2 and S=Z_{4}+wZ_{4}+vZ_{4}+wvZ_{4},w^{2}=2,v^{2}=v,wv=vw
are studied. The links between the elements of the rings R, S and 16 and 256
codons are established, respectively. Cyclic codes of odd length over the
finite ring R satisfies reverse complement constraint and cyclic codes of odd
length over the finite ring S satisfy reverse constraint and reverse complement
constraint are studied. Binary images of the cyclic DNA codes over the finite
rings R and S are determined. Moreover, a family of DNA skew cyclic codes over
R is constructed, its property of being reverse complement is studied.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
14
The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat