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Recursive Decoding and Its Performance for Low-Rate Reed-Muller Codes
March 14, 2017 Β· Declared Dead Β· π IEEE Transactions on Information Theory
"No code URL or promise found in abstract"
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Authors
Ilya Dumer
arXiv ID
1703.05306
Category
cs.IT: Information Theory
Citations
104
Venue
IEEE Transactions on Information Theory
Last Checked
4 months ago
Abstract
Recursive decoding techniques are considered for Reed-Muller (RM) codes of growing length $n$ and fixed order $r.$ An algorithm is designed that has complexity of order $n\log n$ and corrects most error patterns of weight up to $n(1/2-\varepsilon)$ given that $\varepsilon$ exceeds $n^{-1/2^{r}}.$ This improves the asymptotic bounds known for decoding RM codes with nonexponential complexity.
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