Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Programming Decoding of Binary Linear Codes for Symbol-Pair Read
  Channels   In this paper, we develop a new decoding algorithm of a binary linear codes
for symbol-pair read channels. Symbol-pair read channel has recently been
introduced by Cassuto and Blaum to model channels with high write resolution
but low read resolution. The proposed decoding algorithm is based on a linear
programming (LP). It is proved that the proposed LP decoder has the
maximum-likelihood (ML) certificate property, i.e., the output of the decoder
is guaranteed to be the ML codeword when it is integral. We also introduce the
fractional pair distance $d_{fp}$ of a code which is a lower bound on the pair
distance. It is proved that the proposed LP decoder will correct up to $\lceil
d_{fp}/2\rceil-1$ pair errors.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas