Construction of partially-doped generalized LDPC codes over regular LDPC codes

In this paper, we propose a new code design technique for GLDPC codes which we call partial doping. The proposed partial doping technique enables higher degrees of freedom in constructing protograph-based GLDPC codes. We optimize the partially-doped generalized LDPC codes over the binary erasure channels and the finite length analysis shows that it outperforms the regular LDPC codes for both code rates 1/2 and 1/4.