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ECCC
2011
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13 years 11 hour ago
Three Query Locally Decodable Codes with Higher Correctness Require Exponential Length
Locally decodable codes are error correcting codes with the extra property that, in order to retrieve the correct value of just one position of the input with high probability, it...
Anna Gál, Andrew Mills
ECCC
2010
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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
ICALP
2007
Springer
13 years 11 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
STACS
2009
Springer
13 years 11 months ago
Locally Decodable Quantum Codes
We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that ...
Jop Briet, Ronald de Wolf