The Strength of Weak Randomization: Efficiently Searchable Encryption with Minimal Leakage

Efficiently searchable and easily deployable encryption schemes enable an untrusted, legacy service such as a relational database engine to perform searches over encrypted data. The ease with which such schemes can be deployed on top of existing services makes them especially appealing in operational environments where encryption is needed but it is not feasible to replace large infrastructure components like databases or document management systems. Unfortunately all previously known approaches for efficiently searchable encryption are vulnerable to inference attacks where an adversary can use knowledge of the distribution of the data to recover the plaintext with high probability. In this paper, we present the first efficiently searchable, easily deployable database encryption scheme that is provably secure against inference attacks even when used with real, low-entropy data. Ours is also the only efficiently searchable construction that provides any provable security for protecting multiple related attributes (columns) in the same database. Using this ESE construction as a building block, we give an efficient construction for performing range queries over encrypted data. We implemented our constructions in Haskell and used them to query encrypted databases of up to 10 million records. In experiments with a local Postgres database and with a Google Cloud Platform database, the response time for our encrypted queries is not excessively slower than for plaintext queries. With the use of parallel query processing, our encrypted queries can achieve similar and in some cases superior performance to queries on the plaintext.