Generalized LDPC code with single-parity-check product constraints at super check nodes

Due to the more complex constraints, generalized low-density parity-check (GLDPC) codes can achieve better error performance but require much higher decoding complexities compared with the standard LDPC codes. In this paper, single-parity-check product-codes (SPC-PCs) are considered as the constituent codes in the super check nodes of a GLDPC code. Moreover, turbo iterations are used in decoding the SPC-PCs. The error performance and the decoder complexity of the proposed GLDPC code are compared with other LDPC code and GLDPC code.