**Impossibility Results for
Static Input Secure Computation **

Sanjam Garg (UCLA)

Abishek Kumarasubramanian (UCLA)

Rafail Ostrovsky (UCLA)

Ivan
Visconti (

Consider a setting of two mutually distrustful parties
Alice and Bob who want to securely evaluate some function on pre-specified
inputs. The well studied notion of two-party secure computation allows them
to do so in the stand-alone setting. Consider a deterministic function (e.g.,
1-out-of-2 bit OT) that Alice and Bob can not evaluate trivially and which
allows only Bob to receive the output. We show that Alice and Bob can not
securely compute any such function in the concurrent setting even when their
inputs are pre-specified. Our impossibility result also extends to all
deterministic functions in which both Alice and Bob get the same output. Our results
have implications in the bounded-concurrent setting as well.