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arXiv · 1511.03829

Secure Numerical and Logical Multi Party Operations

Johannes Schneider·Bin Lu
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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.

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Johannes Schneider, Bin Lu. 2017-07-19. Secure Numerical and Logical Multi Party Operations. https://arxiv.org/abs/1511.03829

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