Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Asymptotic Weight and Stopping Set Distribution of Regular LDPC
  Ensembles   We estimate the variance of weight and stopping set distribution of regular
LDPC ensembles. Using this estimate and the second moment method we obtain
bounds on the probability that a randomly chosen code from regular LDPC
ensemble has its weight distribution and stopping set distribution close to
respective ensemble averages. We are able to show that a large fraction of
total number of codes have their weight and stopping set distribution close to
the average.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: econ