10 search results - page 1 / 2 » Explicit capacity-achieving list-decodable codes |
TIT
2008
13 years 4 months ago
2008
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
STACS
2005
Springer
13 years 10 months ago
2005
Springer
We revisit the construction of high noise, almost optimal rate list decodable code of Guruswami [1]. Guruswami showed that if one can explicitly construct optimal extractors then o...
APPROX
2008
Springer
13 years 6 months ago
2008
Springer
We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that co...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
STOC
2004
ACM
14 years 4 months ago
2004
ACM
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...