Secure numerical and logical multi party operations

We derive algorithms for efficient secure numerical and logical operations in the semi-honest model ensuring statistical or perfect security for secure multi-party computation (MPC). To derive our algorithms for trigonometric functions, we use basic mathematical laws in combination with properties of the additive encryption scheme, ie. linear secret sharing, in a novel way for the JOS scheme [23]. For division and logarithm, we use a new approach to compute a Taylor series at a fixed point for all numbers. Our empirical evaluation yields speed-ups for local computation of more than a factor of 100 for some operations compared to the state-of-the-art.