Construction of parity-check-concatenated polar codes based on minimum Hamming weight codewords

In this Letter, a new parity-check-concatenated (PCC) polar code construction that considers the number of minimum Hamming weight (MHW) codewords is proposed. The parity bits to reduce the number of MHW codewords as much as possible is successively constructed. The proposed construction can reduce the number of MHW codewords more than other codes. The results show that the proposed codes can outperform the other codes at a high signal-to-noise region.