Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wireless Network-Coded Three-Way Relaying Using Latin Cubes   The design of modulation schemes for the physical layer network-coded
three-way wireless relaying scenario is considered. The protocol employs two
phases: Multiple Access (MA) phase and Broadcast (BC) phase with each phase
utilizing one channel use. For the two-way relaying scenario, it was observed
by Koike-Akino et al. \cite{KPT}, that adaptively changing the network coding
map used at the relay according to the channel conditions greatly reduces the
impact of multiple access interference which occurs at the relay during the MA
phase and all these network coding maps should satisfy a requirement called
\textit{exclusive law}. This paper does the equivalent for the three-way
relaying scenario. We show that when the three users transmit points from the
same 4-PSK constellation, every such network coding map that satisfies the
exclusive law can be represented by a Latin Cube of Second Order. The network
code map used by the relay for the BC phase is explicitly obtained and is aimed
at reducing the effect of interference at the MA stage.

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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics