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Despite exciting progress on cryptography, secure and efficient queryprocessing over outsourced data remains an open challenge. We develop acommunication-efficient and information-theoretically secure system, entitledObscure for aggregation queries with conjunctive or disjunctive predicates,using secret-sharing. Obscure is strongly secure (i.e., secure regardless ofthe computational-capabilities of an adversary) and prevents the network, aswell as, the (adversarial) servers to learn the user's queries, results, or thedatabase. In addition, Obscure provides additional security features, such ashiding access-patterns (i.e., hiding the identity of the tuple satisfying aquery) and hiding query-patterns (i.e., hiding which two queries areidentical). Also, Obscure does not require any communication between any twoservers that store the secret-shared data before/during/after the queryexecution. Moreover, our techniques deal with the secret-shared data that isoutsourced by a single or multiple database owners, as well as, allows a user,which may not be the database owner, to execute the query over secret-shareddata. We further develop (non-mandatory) privacy-preserving result verificationalgorithms that detect malicious behaviors, and experimentally validate theefficiency of Obscure on large datasets, the size of which prior approaches ofsecret-sharing or multi-party computation systems have not scaled to.

Obscure: Information-Theoretically Secure, Oblivious, and Verifiable Aggregation Queries on Secret-Shared Outsourced Data -- Full Version