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On Pre-transformed Polar Codes
December 13, 2019 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Bin Li, Huazi Zhang, Jiaqi Gu
arXiv ID
1912.06359
Category
cs.IT: Information Theory
Citations
51
Venue
arXiv.org
Last Checked
5 months ago
Abstract
In this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and convolution code (CC) matrix) does not reduce the code minimum distance and an properly designed pre-transformation can reduce the number of codewords with the minimum distance. This explains that the pre-transformed polar codes can perform better than the Polar/RM codes.
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