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» Concatenated codes can achieve list-decoding capacity
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APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
15 years 3 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»
14 years 8 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
101
Voted
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
15 years 10 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»
15 years 10 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»
14 years 9 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...