Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing LDPC Codes from Partition and Latin-Style Splicing   A novel method guaranteeing nondecreasing girth is presented for constructing
longer low-density parity-check (LDPC) codes from shorter ones. The
parity-check matrix of a shorter base code is decomposed into N (N>=2)
non-overlapping components with the same size. Then, these components are
combined together to form the parity-check matrix of a longer code, according
to a given N*N Latin square. To illustrate this method, longer quasi-cyclic
(QC) LDPC codes are obtained with girth at least eight and satisfactory
performance, via shorter QC-LDPC codes with girth eight but poor performance.
The proposed method naturally includes several well-known methods as special
cases, but is much more general compared with these existing approaches.

36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph