Title
The Complete SC-Invariant Affine Automorphisms of Polar Codes.
Abstract
Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders in parallel and hence has lower latency compared to that of successive cancellation list (SCL) decoding. However, some automorphisms are SC-invariant, thus are redundant in AE decoding. In this paper, we find a necessary and sufficient condition related to the block lower-triangular structure of transformation matrices to identify SC-invariant automorphisms. Furthermore, we provide an algorithm to determine the complete SC-invariant affine automorphisms under a specific polar code construction.
Year
DOI
Venue
2022
10.1109/ISIT50566.2022.9834828
International Symposium on Information Theory (ISIT)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
7
Name
Order
Citations
PageRank
Zicheng Ye100.34
Yuan Li201.01
Huazi Zhang300.34
Rong Li415.76
Jun Wang511042.73
Guiying Yan6111.63
Zhiming Ma700.68