[Resource Topic] 2016/109: Fast Multiparty Multiplications from shared bits

Welcome to the resource topic for 2016/109

Title:
Fast Multiparty Multiplications from shared bits

Authors: Ivan Damgård, Tomas Toft, Rasmus Winther Zakarias

Abstract:

We study the question of securely multiplying N-bit integers that are stored in binary representation, in the context of protocols for dishonest majority with preprocessing. We achieve communication complexity O(N) using only secure operations over small fields F_2 and F_p with log(p) \approx log(N). For semi-honest security we achieve communication O(N)2^{O(log∗(N))} using only secure operations over F_2. This improves over the straightforward solution of simulating a Boolean multiplication circuit, both asymptotically and in practice.

ePrint: https://eprint.iacr.org/2016/109

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