The disclosed architecture employs techniques that make secure multi-party computation (MPC) practical and scalable. In support of utilizing cloud computing, for example, for evaluating functionality, a third party server can be employed which does not have any input to the computation and does not receive any output from the computation, yet has a vast amount of computational resources. Accordingly, the secure MPC architecture can outsource as much as possible of the computation and communications burden of the parties without the server(s) learning any information about the party inputs.