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» Local list decoding with a constant number of queries
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ECCC
2010
153views more  ECCC 2010»
12 years 11 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
ECCC
2010
147views more  ECCC 2010»
12 years 11 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
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
14 years 5 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
STOC
2009
ACM
224views Algorithms» more  STOC 2009»
14 years 5 months ago
3-query locally decodable codes of subexponential length
Locally Decodable Codes (LDC) allow one to decode any particular symbol of the input message by making a constant number of queries to a codeword, even if a constant fraction of t...
Klim Efremenko
STOC
2012
ACM
201views Algorithms» more  STOC 2012»
11 years 7 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