Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Precoding for the Compute-and-Forward Protocol   The compute-and-forward (CoF) is a relaying protocol, which uses algebraic
structured codes to harness the interference and remove the noise in wireless
networks. We propose the use of phase precoders at the transmitters of a
network, where relays apply CoF strategy. We define the {\em phase precoded
computation rate} and show that it is greater than the original computation
rate of CoF protocol. We further give a new low-complexity method for finding
network equations. We finally show that the proposed precoding scheme increases
the degrees-of-freedom (DoF) of CoF protocol. This overcomes the limitations on
the DoF of the CoF protocol, recently presented by Niesen and Whiting. Using
tools from Diophantine approximation and algebraic geometry, we prove the
existence of a phase precoder that approaches the maximum DoF when the number
of transmitters tends to infinity.

17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn