Tailoring polar code construction for decoding algorithms beyond successive cancellation has remained a topic of significant interest in the field. However, despite the inherent nested structure of polar codes, the use of sequence models in polar code construction is understudied. In this work, we propose using a sequence modeling framework to iteratively construct a polar code for any given length and rate under various channel conditions. Simulations show that polar codes designed via sequential modeling using transformers outperform both 5G-NR sequence and Density Evolution based approaches for both AWGN and Rayleigh fading channels.

翻译：针对超越逐次抵消的译码算法进行极化码定制化构造，一直是该领域的重要研究课题。然而，尽管极化码具有内在的嵌套结构，序列模型在极化码构造中的应用仍鲜有研究。本文提出采用序列建模框架，针对任意给定码长和码率，在不同信道条件下迭代构造极化码。仿真结果表明，无论在AWGN信道还是瑞利衰落信道下，基于Transformer序列建模设计的极化码性能均优于5G-NR序列法和密度演进法。