Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low-Density Parity-Check Codes Which Can Correct Three Errors Under
  Iterative Decoding   In this paper, we give necessary and sufficient conditions for low-density
parity-check (LDPC) codes with column-weight three to correct three errors when
decoded using hard-decision message-passing decoding. Additionally, we give
necessary and sufficient conditions for column-weight-four codes to correct
three errors in four iterations of hard-decision message-passing decoding. We
then give a construction technique which results in codes satisfying these
conditions. We also provide numerical assessment of code performance via
simulation results.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat