Selectively Precoded Polar Codes
Samir Kumar Mishra, KwangChul Kim
TL;DR
Simulation results show that for a target frame erasure rate (FER) of $10^{-5}$, a (128, 64) SPP code is just 0.23 dB away from the information theoretic limit at this blocklength.
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 $\mathbf{10^{-5}}$, 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.