Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Z2-Triple cyclic codes and their duals   A Z2-triple cyclic code of block length (r,s,t) is a binary code of length
r+s+t such that the code is partitioned into three parts of lengthsr,s andt
such that each of the three parts is invariant under the cyclic shifts of the
coordinates. Such a code can be viewed as Z2[x]-submodules of
Z_2[x]/<x^r-1>xZ_2[x]/<x^s-1>xZ_2[x]/<x^t-1>, in polynomial representation. In
this paper, we determine the structure of these codes. We have obtained the
form of the generators for such codes. Further, a minimal generating set for
such a code is obtained. Also, we study the structure of the duals of these
codes via the generators of the codes.

33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys