Welcome to the resource topic for 2007/025
Title:
Private Locally Decodable Codes
Authors: Rafail Ostrovsky, Omkant Pandey, Amit Sahai
Abstract: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 construct {\em efficient} locally decodable codes with positive information rate and \emph{low} (almost optimal) query complexity which can correctly decode any given bit of the message from constant channel error rate \rho. This compares favorably to our state of knowledge locally-decodable codes without cryptographic assumptions. For all our constructions, the probability for any polynomial-time adversary, that the decoding algorithm incorrectly decodes any bit of the message is negligible in the security parameter.
ePrint: https://eprint.iacr.org/2007/025
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