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» Subspace Polynomials and List Decoding of Reed-Solomon Codes
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APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
14 years 1 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
IACR
2011
141views more  IACR 2011»
12 years 7 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger
JSAC
2010
180views more  JSAC 2010»
13 years 2 months ago
List Decoding Techniques for Intersymbol Interference Channels Using Ordered Statistics
In this paper, we present a generalization of the ordered statistics decoding (OSD) techniques for the class of intersymbol interference (ISI) channels, and show decoding results f...
Fabian Lim, Aleksandar Kavcic, Marc P. C. Fossorie...
STOC
2001
ACM
163views Algorithms» more  STOC 2001»
14 years 7 months ago
Extractor codes
We study error-correcting codes for highly noisy channels. For example, every received signal in the channel may originate from some half of the symbols in the alphabet. Our main c...
Amnon Ta-Shma, David Zuckerman
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 7 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