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k-TTP: a new privacy model for large-scale distributed environments

Secure multiparty computation allows parties to jointly compute a function of their private inputs without revealing anything but the output. Theoretical results [2] provide a general construction of such protocols for any function. Protocols obtained in this way are, however, inefficient, and thus, practically speaking, useless when a large number of participants are involved.The contribution of this paper is to define a new privacy model -- k-privacy -- by means of an innovative, yet natural generalization of the accepted trusted third party model. This allows implementing cryptographically secure efficient primitives for real-world large-scale distributed systems.As an example for the usefulness of the proposed model, we employ k-privacy to introduce a technique for obtaining knowledge -- by way of an association-rule mining algorithm -- from large-scale Data Grids, while ensuring that the privacy is cryptographically secure.