Secure multiparty computation (MPC) is a well-studied problem in modern cryptography. In this talk, I will survey a collection of results that study qualitative and quantitative complexity of (multi-party) functions, with respect to how "easy" or "hard" they are for MPC.
In particular, we formulate a quantitative notion of "cryptographic complexity" of a (multi-party) function, as the number of "crypto gates" needed to securely evaluate the function (amortized over several evaluations). Due to recent results, we can show that up to constants, this quantity does not depend on the specific choice of crypto gate, as long as it is "complete."
I shall discuss some connections of cryptographic complexity with other notions of complexity of functions, like circuit complexity and communication complexity.
Manoj Prabhakaran is an Associate Professor in the Department of Computer Science at the University of Illinois, Urbana-Champaign. Manoj received a Ph.D. in Computer Science from Princeton University in 2005, and a B.Tech in Computer Science and Engineering from the Indian Institute of Technology, Mumbai, in 2000.