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» Query-Efficient Locally Decodable Codes
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ICALP
2005
Springer
15 years 5 months ago
Improved Lower Bounds for Locally Decodable Codes and Private Information Retrieval
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Stephanie Wehner, Ronald de Wolf
STOC
2009
ACM
224views Algorithms» more  STOC 2009»
16 years 7 days 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
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
15 years 1 months ago
Corruption and Recovery-Efficient Locally Decodable Codes
A (q, , )-locally decodable code (LDC) C : {0, 1}n {0, 1}m is an encoding from n-bit strings to m-bit strings such that each bit xk can be recovered with probability at least 1 2 +...
David P. Woodruff
STOC
2007
ACM
179views Algorithms» more  STOC 2007»
15 years 12 months ago
Towards 3-query locally decodable codes of subexponential length
A q-query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin
ECCC
2006
120views more  ECCC 2006»
14 years 11 months ago
New Locally Decodable Codes and Private Information Retrieval Schemes
A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin