Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction D$^\prime$ Lattices from Quasi-Cyclic Low-Density
  Parity-Check Codes   Recently, Branco da Silva and Silva described an efficient encoding and
decoding algorithm for Construction D$^\prime$ lattices. Using their algorithm,
we propose a Construction D$^\prime$ lattice based on binary quasi-cyclic
low-density parity-check (QC-LPDC) codes and single parity-check product codes.
The underlying codes designed by the balanced-distances rule contribute in a
balanced manner to the squared minimum distance of the constructed lattice,
which results in a high lattice coding gain. The proposed lattice based on IEEE
802.16e QC-LDPC codes is shown to provide competitive error-rate performance on
the power-unconstrained additive white Gaussian noise channel.

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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an