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» From irreducible representations to locally decodable codes
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CRYPTO
2008
Springer
132views Cryptology» more  CRYPTO 2008»
13 years 7 months ago
Public-Key Locally-Decodable Codes
In this paper we introduce the notion of a Public-Key Encryption Scheme that is also a Locally-Decodable Error-Correcting Code (PKLDC). In particular, we allow any polynomialtime ...
Brett Hemenway, Rafail Ostrovsky
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 7 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
ICALP
2005
Springer
13 years 11 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
ECCC
2010
153views more  ECCC 2010»
13 years 6 days ago
Local list decoding with a constant number of queries
Efremenko showed locally-decodable codes of sub-exponential length that can handle close to 1 6 fraction of errors. In this paper we show that the same codes can be locally unique...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
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