A Novel Hamming Check Concatenated Polarization-Adjusted Convolutional (PAC) Codes
Aolin Liu, Bowen Feng, Chulong Liang, Jin Xu, Qinyu Zhang · 2023
A novel concatenation of Hamming check and polarization-adjusted convolutional (PAC) codes is proposed to improve the reliability of PAC codes with medium block length. The construction of the Hamming-PAC codes is provided, and a Hamming-check-aided (HA) list decoding is described accordingly. A simple method based on list decoding is proposed to analyze the minimum Hamming weight distribution (MHWD) of PAC codes. The MHWD of PAC codes can be greatly improved by concatenating Hamming check. Simulation results show that Hamming-PAC codes can outperform CRC-Polar codes and CRC-PAC codes, which verifies the obtained MHWD results of these codes.