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» From irreducible representations to locally decodable codes
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CRYPTO
2008
Springer
132views Cryptology» more  CRYPTO 2008»
14 years 11 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»
14 years 11 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
15 years 3 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»
14 years 4 months 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»
14 years 9 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