Cooperative decoder design for non-binary LDPC code with coefficients selection

In this paper we design novel decoders for non-binary low density parity check (LDPC) codes. For a non-binary LDPC code C over the field F_q of size q for some q > 0, we propose two novel cooperative decoders, each composed of a binary component decoder and a q-ary component decoder in a concatenated manner, to obtain excellent decoding performance. Specifically to reduce the complexity of the cooperative decoders, we design a hybrid q-ary component decoder. Then, we propose an algorithm to construct the parity check matrix to eliminate the bit-level cycles. Simulations show that the decoding performance of the proposed algorithm approaches the capacity limit within 0.2dB at BER= 10^-4.