Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremality for Gallager's Reliability Function $E_0$   We describe certain extremalities for Gallager's $E_0$ function evaluated
under the uniform input distribution for binary input discrete memoryless
channels. The results characterize the extremality of the $E_0(\rho)$ curves of
the binary erasure channel and the binary symmetric channel among all the
$E_0(\rho)$ curves that can be generated by the class of binary discrete
memoryless channels whose $E_0(\rho)$ curves pass through a given point
$(\rho_0, e_0)$, for some $\rho_0 > -1$.

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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: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga