Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Continuity of the Secrecy Capacity of Compound and Arbitrarily
  Varying Wiretap Channels   The wiretap channel models secure communication between two users in the
presence of an eavesdropper who must be kept ignorant of transmitted messages.
The performance of such a system is usually characterized by its secrecy
capacity which determines the maximum transmission rate of secure
communication. In this paper, the issue of whether or not the secrecy capacity
is a continuous function of the system parameters is examined. In particular,
this is done for channel uncertainty modeled via compound channels and
arbitrarily varying channels, in which the legitimate users know only that the
true channel realization is from a pre-specified uncertainty set. In the former
model, this realization remains constant for the entire duration of
transmission, while in the latter the realization varies from channel use to
channel use in an unknown and arbitrary manner. These models not only capture
the case of channel uncertainty, but are also suitable for modeling scenarios
in which a malicious adversary jams or otherwise influence the legitimate
transmission. The secrecy capacity of the compound wiretap channel is shown to
be robust in the sense that it is a continuous function of the uncertainty set.
Thus, small variations in the uncertainty set lead to small variations in
secrecy capacity. On the other hand, the deterministic secrecy capacity of the
\emph{arbitrarily varying wiretap channel} is shown to be discontinuous in the
uncertainty set meaning that small variations can lead to dramatic losses in
capacity.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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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: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: econ