2013 | OriginalPaper | Buchkapitel
Private Stream Search at Almost the Same Communication Cost as a Regular Search
verfasst von : Matthieu Finiasz, Kannan Ramchandran
Erschienen in: Selected Areas in Cryptography
Verlag: Springer Berlin Heidelberg
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Private Stream Search allows keyword-based search queries to be performed on streaming data (or on a database) without revealing any information about the keywords being searched. Using homomorphic encryption, Ostrovsky and Skeith proposed a solution to this problem in 2005. However, their solution requires the server to send an answer of size
O
(
mS
log
m
) bits when
m
documents of
S
bits match the query, while a regular (non-private) query only requires
mS
bits. Following this work, some improved schemes have been proposed with the aim of keeping the reply from the server
linear
in
mS
. In this work we propose two new
communication optimal
constructions: both allow communication linear in
mS
, but they also offer an expansion factor (compared to a non-private query) asymptotically equal to 1 when
m
and
S
increase. More precisely, our first scheme requires
m
(
S
+
O
(log
t
)) bits (where
t
is the size of the database) and our second scheme
m
(
S
+
C
) where
C
is a constant depending only on the chosen computational security level.