Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tighter Decoding Reliability Bound for Gallager's Error-Correcting Code   Statistical physics is employed to evaluate the performance of
error-correcting codes in the case of finite message length for an ensemble of
Gallager's error correcting codes. We follow Gallager's approach of
upper-bounding the average decoding error rate, but invoke the replica method
to reproduce the tightest general bound to date, and to improve on the most
accurate zero-error noise level threshold reported in the literature. The
relation between the methods used and those presented in the information theory
literature are explored.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin