Multiplicatively Repeated Non-Binary LDPC Codes [PDF]
arXiv, 2010 We propose non-binary LDPC codes concatenated with multiplicative repetition codes. By multiplicatively repeating the (2,3)-regular non-binary LDPC mother code of rate 1/3, we construct rate-compatible codes of lower rates 1/6, 1/9, 1/12,... Surprisingly, such simple low-rate non-binary LDPC codes outperform the best low-rate binary LDPC codes so far ...
arxiv
New LDPC Codes Using Permutation Matrices with Higher Girth than QC-LDPC Codes Constructed by Fossorier [PDF]
arXiv, 2014 In the literatures, it is well-known that Fossorier code has the girth among LDPC codes. In this paper, we introduce a new class of low-density parity-check (LDPC) codes, with higher girth than other previous constructed codes. Especially we proposed a new method to construct LDPC codes using non fixed shift permutation matrices and full based matrices
arxiv
Jointed LDPC codes design for half-duplex relay channels
Tongxin xuebao, 2013 In order to increase the coding gain of decode-and-forward half-duplex relay channel, a jointed LDPC coding structure and its corresponding optimization scheme was proposed. Novel structure made the subcodes of both source and relay nodes as parts of the
Zi-qiang CHEN +3 more
doaj +2 more sources
Quantum LDPC Codes Constructed from Point-Line Subsets of the Finite Projective Plane [PDF]
arXiv, 2012 Due to their fast decoding algorithms, quantum generalizations of low-density parity check, or LDPC, codes have been investigated as a solution to the problem of decoherence in fragile quantum states. However, the additional twisted inner product requirements of quantum stabilizer codes force four-cycles and eliminate the possibility of randomly ...
arxiv
Joint Physical Network Coding and LDPC decoding for Two Way Wireless Relaying [PDF]
arXiv, 2013 In this paper, we investigate the joint design of channel and network coding in bi-directional relaying systems and propose a combined low complexity physical network coding and LDPC decoding scheme. For the same LDPC codes employed at both source nodes, we show that the relay can decodes the network coded codewords from the superimposed signal ...
arxiv
Tanner (3, 23)-Regular QC-LDPC Codes: Cycle Structure and Girth Distribution
IEEE AccessThis paper studies a class of quasi-cyclic LDPC (QC-LDPC) codes, i.e., Tanner (3, 23)-regular QC-LDPC codes of code length $23p$ with $p$ being a prime and $p \equiv 1 (\mathrm {mod} 69)$ .
Qi Wang +5 more
doaj +1 more source
Quantum LDPC Codes Based on Cocyclic Block Matrices. [PDF]
Entropy (Basel), 2023 Li Y, Guo Y.
europepmc +1 more source
Design and Optimization of Linking Matrix for a JSCC System Based on DP-LDPC Codes. [PDF]
Entropy (Basel), 2023 Lv Y, Hong S, Wang L.
europepmc +1 more source
Reduced-complexity decoding of Q-ary LDPC codes for magnetic recording [PDF]
, 2003 Hongxin Song, J.R. Cruz
openalex +1 more source
A construction of the high-rate regular quasi-cyclic LDPC codes
EURASIP Journal on Wireless Communications and Networking, 2019 In this paper, a scheme to construct the high-rate regular quasi-cyclic low-density parity-check (QC-LDPC) codes is developed based on the finite geometry low-density parity-check (LDPC) codes.
Qi Meng +3 more
doaj +1 more source