Polar codes with Reed-Solomon (RS) kernel have great potential in next-generation communication systems due to their high polarization rate. In this paper, we study the polarization characteristics of RS polar codes and propose two types of partial orders (POs) for the synthesized channels, which are supported by validity proofs. By combining these partial orders, a Partial Distance-based Polarization Weight (PDPW) construction method is presented. The proposed method achieves comparable performance to Monte-Carlo simulations while requiring lower complexity. Additionally, a Minimum Polarization Weight Puncturing (MPWP) scheme for rate-matching is proposed to enhance its practical applicability in communication systems. Simulation results demonstrate that the RS polar codes based on the proposed PDPW construction outperform the 3rd Generation Partnership Project (3GPP) NR polar codes in terms of standard code performance and rate-matching performance.

翻译：基于Reed-Solomon（RS）核的极化码因其高极化速率，在下一代通信系统中具有巨大潜力。本文研究了RS极化码的极化特性，并针对合成信道提出了两类由有效性证明支撑的偏序关系。通过结合这些偏序，提出了一种基于部分距离的极化权重（PDPW）构造方法。该方法在实现与蒙特卡洛仿真相当性能的同时，要求更低复杂度。此外，为增强其在通信系统中的实际适用性，提出了一种用于速率匹配的最小极化权重打孔（MPWP）方案。仿真结果表明，基于所提PDPW构造的RS极化码在标准码性能和速率匹配性能上均优于第三代合作伙伴计划（3GPP）NR极化码。