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» Local list decoding with a constant number of queries
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APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
13 years 11 months ago
A Lower Bound on List Size for List Decoding
A q-ary error-correcting code C ⊆ {1, 2, . . . , q}n is said to be list decodable to radius ρ with list size L if every Hamming ball of radius ρ contains at most L codewords o...
Venkatesan Guruswami, Salil P. Vadhan
CORR
2010
Springer
230views Education» more  CORR 2010»
13 years 2 months ago
Query-Efficient Locally Decodable Codes of Subexponential Length
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,...
APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 7 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
STOC
2007
ACM
179views Algorithms» more  STOC 2007»
14 years 5 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»
13 years 5 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