On-Line/Off-Line Leakage Resilient Secure Computation Protocols

We study the question of designing leakage-resilient secure computation protocols. Our model is that of only computation leaks information with a leak-free input encoding phase. In more detail, we assume an offline phase called the input encoding phase in which each party encodes its input in a specified format. This phase is assumed to be free of any leakage and may or may not depend upon the function that needs to be jointly computed by the parties. Then finally, we have a secure computation phase in which the parties exchange messages with each other. In this phase, the adversary gets access to a leakage oracle which allows it to download a function of the computation transcript produced by an honest party to compute the next outgoing message.