2005 | OriginalPaper | Buchkapitel
Single-Database Private Information Retrieval with Constant Communication Rate
verfasst von : Craig Gentry, Zulfikar Ramzan
Erschienen in: Automata, Languages and Programming
Verlag: Springer Berlin Heidelberg
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We present a single-database private information retrieval (PIR) scheme with communication complexity
${\mathcal O}(k+d)$
, where
k
≥ log
n
is a security parameter that depends on the database size
n
and
d
is the bit-length of the retrieved database block. This communication complexity is better asymptotically than previous single-database PIR schemes. The scheme also gives improved performance for practical parameter settings whether the user is retrieving a single bit or very large blocks. For large blocks, our scheme achieves a constant “rate” (e.g., 0.2), even when the user-side communication is very low (e.g., two 1024-bit numbers). Our scheme and security analysis is presented using general groups with hidden smooth subgroups; the scheme can be instantiated using composite moduli, in which case the security of our scheme is based on a simple variant of the “Φ-hiding” assumption by Cachin, Micali and Stadler [2].