In the setting of searchable symmetric encryption (SSE), a data owner D outsources a database (or document/file collection) to a remote server E in encrypted form such that D can later search the collection at E while hiding information about the database and queries from E. Leakage to E is to be confined to well-defined forms of data-access and query patterns while preventing disclosure of explicit data and query plaintext values. Recently, Cash et al. presented a protocol, OXT, which can run arbitrary boolean queries in the SSE setting and which is remarkably efficient even for very large databases.
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Jarecki et al. (2013) studied this question.