Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coding for Parallel Channels: Gallager Bounds and Applications to
  Repeat-Accumulate Codes   This paper is focused on the performance analysis of binary linear block
codes (or ensembles) whose transmission takes place over independent and
memoryless parallel channels. New upper bounds on the maximum-likelihood (ML)
decoding error probability are derived. The framework of the second version of
the Duman and Salehi (DS2) bounds is generalized to the case of parallel
channels, along with the derivation of optimized tilting measures. The
connection between the generalized DS2 and the 1961 Gallager bounds, known
previously for a single channel, is revisited for the case of parallel
channels. The new bounds are used to obtain improved inner bounds on the
attainable channel regions under ML decoding. These improved bounds are applied
to ensembles of turbo-like codes, focusing on repeat-accumulate codes and their
recent variations.

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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg