Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction and Decoding Algorithms for for Polar Codes based on
  $2\times2$ Non-Binary Kernels   Polar codes based on $2\times2$ non-binary kernels are discussed in this
work. The kernel over $\text{GF}(q)$ is selected by maximizing the polarization
effect and using Monte-Carlo simulation. Belief propagation (BP) and successive
cancellation (SC) based decoding algorithms are extended to non-binary codes.
Additionally, a successive cancellation list (SCL) decoding with a pruned tree
is proposed. Simulation results show that the proposed decoder performs very
close to a conventional SCL decoder with significantly lower complexity.

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The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: math-ph
10
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: patt-sol
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph