Title :
Construction of high-rate QC-LDPC codes
Author :
Xu Chen ; Lau, Francis C. M.
Author_Institution :
Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Hong Kong, China
Abstract :
In this paper, we construct high-rate quasi-cyclic low-density parity-check (QC-LDPC) codes with girth-10 based on shortened array codes. First, we derive analytic results on the maximum number of columns for shortened array codes of different girths. A code construction method inspired by the analysis is proposed for column-weight-three codes and is compared with the conventional greedy construction algorithm. We show that the proposed method is more effective than the conventional greedy algorithm in the sense that the minimum length of the codes constructed using our proposed method to achieve different code rates is comparative or much shorter than those constructed using the greedy construction.
Keywords :
cyclic codes; greedy algorithms; parity check codes; code construction method; column-weight-three codes; greedy construction algorithm; high-rate QC-LDPC code; high-rate quasicyclic low-density parity-check codes; shortened array codes; Adaptive optics; Arrays; Equations; Greedy algorithms; Next generation networking; Parity check codes; Upper bound;
Conference_Titel :
Advanced Technologies for Communications (ATC), 2011 International Conference on
Conference_Location :
Da Nang
Print_ISBN :
978-1-4577-1206-7
DOI :
10.1109/ATC.2011.6027427