5 papers · 1 filter
A Path-Survival Analytical Framework for SCL Decoding of Polar Codes
Xianbin Wang, Zhichao Liu, Yuan Li +4
A theoretical analysis of CRC-aided successive cancellation list (CA-SCL) decoding for polar codes remains an open problem, despite its widespread practical adoption. While low-den…
On the Weight Spectrum of Rate-Compatible Polar Codes
Zicheng Ye, Yuan Li, Zhichao Liu +4
The weight spectrum plays a crucial role in the performance of error-correcting codes. Despite substantial theoretical exploration of polar codes with mother code length, a framewo…
Partial Orders in Rate-Matched Polar Codes
Zhichao Liu, Liuquan Yao, Yuan Li +4
In this paper, we establish the partial order (POs) for both the binary erasure channel (BEC) and the binary memoryless symmetric channel (BMSC) under any block rate-matched polar…
A Method to Reduce the Complexity of Computing the Complete Weight Distribution of Polar Codes
Zhichao Liu, Zhiming Ma, Guiying Yan
The code spectrum of polar codes is crucial to the performance of polar codes. Based on the lower-triangular affine group (LTA) of decreasing monomial codes and the one-variable de…
New Partial Orders of Polar Codes for BMSC
Liuquan Yao, Zhichao Liu, Yuan Li +4
In this paper, we define partial orders (POs) of polar codes based on the Bhattacharyya parameter and the bit-error probability, respectively. These POs are applicable to arbitrary…