English

Pre-configured Error Pattern Ordered Statistics Decoding for CRC-Polar Codes

Information Theory 2023-09-26 v2 math.IT

Abstract

In this paper, we propose a pre-configured error pattern ordered statistics decoding (PEPOSD) algorithm and discuss its application to short cyclic redundancy check (CRC)-polar codes. Unlike the traditional OSD that changes the most reliable independent symbols, we regard the decoding process as testing the error patterns, like guessing random additive noise decoding (GRAND). Also, the pre-configurator referred from ordered reliability bits (ORB) GRAND can better control the range and testing order of EPs. Offline-online structure can accelerate the decoding process. Additionally, we also introduce two orders to optimize the search order for testing EPs. Compared with CRC-aided OSD and list decoding, PEPOSD can achieve a better trade-off between accuracy and complexity.

Keywords

Cite

@article{arxiv.2309.11836,
  title  = {Pre-configured Error Pattern Ordered Statistics Decoding for CRC-Polar Codes},
  author = {Xuanyu Li and Kai Niu and Yuxin Han and Jincheng Dai and Zhiyuan Tan and Zhiheng Guo},
  journal= {arXiv preprint arXiv:2309.11836},
  year   = {2023}
}