English

Selectively Precoded Polar Codes

Information Theory 2024-10-30 v3 math.IT

Abstract

In this paper, we propose \textit{selectively precoded polar (SPP) code}, built on top of Arikan's capacity achieving polar codes. We provide the encoding and decoding scheme for SPP code. Simulation results show that for a target frame erasure rate (FER) of 105\mathbf{10^{-5}}, a (128, 64) SPP code is just 0.23 dB away from the information theoretic limit at this blocklength. Further, it is also shown that such codes possess better distance properties compared to other contemporary polar code variants.

Keywords

Cite

@article{arxiv.2011.04930,
  title  = {Selectively Precoded Polar Codes},
  author = {Samir Kumar Mishra and KwangChul Kim},
  journal= {arXiv preprint arXiv:2011.04930},
  year   = {2024}
}

Comments

This work has been submitted to the IEEE for possible publication

R2 v1 2026-06-23T20:02:19.507Z