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ECCC
2011
188views ECommerce» more  ECCC 2011»
13 years 6 months 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
CORR
2006
Springer
104views Education» more  CORR 2006»
13 years 12 months ago
Multigroup-Decodable STBCs from Clifford Algebras
A Space-Time Block Code (STBC) in K symbols (variables) is called g-group decodable STBC if its maximumlikelihood decoding metric can be written as a sum of g terms such that each ...
Sanjay Karmakar, B. Sundar Rajan
ECCC
2010
73views more  ECCC 2010»
13 years 12 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
ECCC
2010
131views more  ECCC 2010»
13 years 12 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
14 years 6 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
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
15 years 4 days 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