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» Local list decoding with a constant number of queries
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ECCC
2010
73views more  ECCC 2010»
13 years 5 months ago
Matching Vector Codes
An (r, , )-locally decodable code encodes a k-bit message x to an N-bit codeword C(x), such that for every i [k], the i-th message bit can be recovered with probability 1 - , by ...
Zeev Dvir, Parikshit Gopalan, Sergey Yekhanin
ICALP
2007
Springer
13 years 12 months ago
Private Locally Decodable Codes
We consider the problem of constructing efficient locally decodable codes in the presence of a computationally bounded adversary. Assuming the existence of one-way functions, we c...
Rafail Ostrovsky, Omkant Pandey, Amit Sahai
ECCC
2010
140views more  ECCC 2010»
13 years 19 days ago
Query-Efficient Locally Decodable Codes
A k-query locally decodable code (LDC) C : n N encodes each message x into a codeword C(x) such that each symbol of x can be probabilistically recovered by querying only k coordina...
Yeow Meng Chee, Tao Feng, San Ling, Huaxiong Wang,...
ECCC
2010
131views more  ECCC 2010»
13 years 5 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
FOCS
2008
IEEE
14 years 7 days ago
Two Query PCP with Sub-Constant Error
We show that the NP-Complete language 3SAT has a PCP verifier that makes two queries to a proof of almost-linear size and achieves sub-constant probability of error o(1). The ver...
Dana Moshkovitz, Ran Raz