Efficient decoding approach for NB‐LDPC codes with short blocklength
Xiao Yang, Ming Jiang, Zhengyi Li, Chen Wang, Chunming Zhao · IET Communications · 2019
In this study, the authors propose a parallel concatenated decoding (PCD) scheme for short non‐binary low‐density‐parity‐check (NB‐LDPC) codes. It consists of a reduced trellis extended min‐sum (R‐TEMS) algorithm which efficiently reduces the check node updating complexity over high‐order Galois fields and a low complexity ordered statistic decoding aided by partial cyclic redundancy check bits. The R‐TEMS algorithm has a negligible performance loss and noticeable reduction in decoding complexity with respect to the trellis‐based EMS (TEMS) algorithm. Besides, the PCD shows a close error‐correction performance when compared with other concatenated decoding schemes for NB‐LDPC codes. It achieves a coding gain about 0.5 dB with reasonable complexity contrasted with the Q‐ary sum–product algorithm for high‐rate short NB‐LDPC codes over GF(256).