PD-GLDPC Codes With Degree-1 Variable Nodes and Multi-Types of Component Codes

In this letter, we propose a new design method for protograph-based partially doped generalized low-density parity-check (PD-GLDPC) codes over the binary erasure channel (BEC). By extending the block-error threshold condition proposed by A. K. Pradhan et al. for conventional GLDPC codes, we optimize medium to high-rate PD-GLDPC codes with degree-1 variable nodes and multi-types of component codes (MCC). It is shown that the optimized PD-GLDPC codes outperform the conventional LDPC and GLDPC codes at the frame error rate 10−4 over the BEC while having comparable decoding complexity.