Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoding Nonbinary LDPC Codes via Proximal-ADMM Approach (include
  convergence proofs)   In this paper, we focus on decoding nonbinary low-density parity-check (LDPC)
codes in Galois fields of characteristic two via the proximal alternating
direction method of multipliers (proximal-ADMM). By exploiting
Flanagan/Constant-Weighting embedding techniques and the decomposition
technique based on three-variables parity-check equations, two efficient
proximal-ADMM decoders for nonbinary LDPC codes are proposed. We show that both
of them are theoretically guaranteed convergent to some stationary point of the
decoding model and either of their computational complexities in each
proximal-ADMM iteration scales linearly with LDPC code's length and the size of
the considered Galois field. Moreover, the decoder based on the Constant-Weight
embedding technique satisfies the favorable property of codeword symmetry.
Simulation results demonstrate their effectiveness in comparison with
state-of-the-art LDPC decoders.

36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex