Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Linear Broadcast Rates of the Two-Sender Unicast Index Coding
  Problem with Fully-Participated Interactions   The two-sender unicast index coding problem consists of finding optimal coded
transmissions from the two senders which collectively know the messages
demanded by all the receivers. Each receiver demands a unique message. One
important class of this problem consists of the message sets at the senders and
the side-information at the receivers satisfying \emph{fully-participated
interactions}. This paper provides optimal linear broadcast rates and
corresponding code constructions for all the possible cases of the two-sender
unicast index coding problem with fully-participated interactions. The optimal
linear broadcast rate and the corresponding code for the two-sender problem are
given in terms of those of the three single-sender unicast problems associated
with the two-sender problem. Optimal linear broadcast rates of two-sender
problems with fully-participated interactions provide lower bounds for the
optimal linear broadcast rates of many related two-sender problems with
\emph{partially-participated interactions}. Proof techniques used to obtain the
results for the two-sender problem are shown to be useful in obtaining the
results for some cases of the multi-sender unicast index coding problem.

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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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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: cond-mat
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org