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» Concatenated codes can achieve list-decoding capacity
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APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
13 years 10 months ago
Better Binary List-Decodable Codes Via Multilevel Concatenation
We give a polynomial time construction of binary codes with the best currently known trade-off between rate and error-correction radius. Specifically, we obtain linear codes ove...
Venkatesan Guruswami, Atri Rudra
CORR
2010
Springer
148views Education» more  CORR 2010»
13 years 2 months ago
List decoding for nested lattices and applications to relay channels
— We demonstrate a decoding scheme for nested lattice codes which is able to decode a list of a particular size which contains the transmitted codeword with high probability. Thi...
Yiwei Song, Natasha Devroye
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 4 months ago
Explicit capacity-achieving list-decodable codes
For every 0 < R < 1 and > 0, we present an explicit construction of error-correcting codes of rate R that can be list decoded in polynomial time up to a fraction (1 - R ...
Venkatesan Guruswami, Atri Rudra
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 4 months ago
Better extractors for better codes?
We present an explicit construction of codes that can be list decoded from a fraction (1 - ) of errors in sub-exponential time and which have rate / logO(1) (1/). This comes close...
Venkatesan Guruswami
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 4 months ago
Can Punctured Rate-1/2 Turbo Codes Achieve a Lower Error Floor than their Rate-1/3 Parent Codes?
— In this paper we concentrate on rate-1/3 systematic parallel concatenated convolutional codes and their rate-1/2 punctured child codes. Assuming maximum-likelihood decoding ove...
Ioannis Chatzigeorgiou, Miguel R. D. Rodrigues, Ia...