Secure Numerical and Logical Multi Party Operations
Cryptography and Security
2017-07-21 v3
Abstract
We derive algorithms for efficient secure numerical and logical operations using a recently introduced scheme for secure multi-party computation~\cite{sch15} in the semi-honest model ensuring statistical or perfect security. To derive our algorithms for trigonometric functions, we use basic mathematical laws in combination with properties of the additive encryption scheme in a novel way. For division and logarithm we use a new approach to compute a Taylor series at a fixed point for all numbers. All our logical operations such as comparisons and large fan-in AND gates are perfectly secure. Our empirical evaluation yields speed-ups of more than a factor of 100 for the evaluated operations compared to the state-of-the-art.
Cite
@article{arxiv.1511.03829,
title = {Secure Numerical and Logical Multi Party Operations},
author = {Johannes Schneider and Bin Lu},
journal= {arXiv preprint arXiv:1511.03829},
year = {2017}
}