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Due to the increasing demand for cloud services and the threat of privacyinvasion, the user is suggested to encrypt the data before it is outsourced tothe remote server. The safe storage and efficient retrieval of d-dimensionaldata on an untrusted server has therefore crucial importance. The paperproposes a new encryption model which offers spatial order-preservation ford-dimensional data (SOPE model). The paper studies the operations for theconstruction of the encrypted database and suggests algorithms that exploitunique properties that this new model offers for the efficient execution of awhole range of well-known queries over the encrypted d-dimensional data. Thenew model utilizes well-known database indices, such as the B+-tree and theR-tree, as backbone structures in their traditional form, as it suggests nomodifications to them for loading the data and for the efficient execution ofthe supporting query algorithms. An extensive experimental study that is alsopresented in the paper indicates the effectiveness and practicability of theproposed encryption model for real-life d-dimensional data applications.

SOPE: A Spatial Order Preserving Encryption Model for Multi-dimensional Data