A system and a method for determining a result of applying a function to signals is disclosed. The function is a polynomial function including monomials, in which the first signal in a first power forming a first part of the monomial and the second signal in a second power forming a second part of the monomial, wherein the first part of the monomial encrypted with a key is a first encrypted signal, and the second part of the monomial encrypted with the key is a second encrypted signal, comprising the steps of transmitting a first input signal encrypted with a second public key to the second processor, wherein the first input signal includes the first encrypted signal, transmitting a second input signal encrypted with a first public key to the first processor, wherein the second input signal includes a product of the first encrypted signal and the second encrypted signal.