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» 3-query locally decodable codes of subexponential length
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ECCC
2010
153views more  ECCC 2010»
13 years 1 months ago
Local list decoding with a constant number of queries
Efremenko showed locally-decodable codes of sub-exponential length that can handle close to 1 6 fraction of errors. In this paper we show that the same codes can be locally unique...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
STOC
2012
ACM
201views Algorithms» more  STOC 2012»
11 years 8 months ago
From irreducible representations to locally decodable codes
Locally Decodable Code (LDC) is a code that encodes a message in a way that one can decode any particular symbol of the message by reading only a constant number of locations, eve...
Klim Efremenko
ECCC
2010
147views more  ECCC 2010»
13 years 1 months ago
A Note on Amplifying the Error-Tolerance of Locally Decodable Codes
Trevisan [Tre03] suggested a transformation that allows amplifying the error rate a code can handle. We observe that this transformation, that was suggested in the non-local setti...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 8 months ago
The Complexity of Local List Decoding
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...
Dan Gutfreund, Guy N. Rothblum
ECCC
2010
131views more  ECCC 2010»
13 years 6 months ago
High-rate codes with sublinear-time decoding
Locally decodable codes are error-correcting codes that admit efficient decoding algorithms; any bit of the original message can be recovered by looking at only a small number of ...
Swastik Kopparty, Shubhangi Saraf, Sergey Yekhanin