Efficient Multiparty Protocols via Log-Depth Threshold Formulae [chapter]

Gil Cohen, Ivan Bjerre Damgård, Yuval Ishai, Jonas Kölker, Peter Bro Miltersen, Ran Raz, Ron D. Rothblum
2013 Lecture Notes in Computer Science  
We put forward a new approach for the design of efficient multiparty protocols: 1. Design a protocol π for a small number of parties (say, 3 or 4) which achieves security against a single corrupted party. Such protocols are typically easy to construct, as they may employ techniques that do not scale well with the number of corrupted parties. 2. Recursively compose π with itself to obtain an efficient n-party protocol which achieves security against a constant fraction of corrupted parties. The
more » ... econd step of our approach combines the "player emulation" technique of Hirt and Maurer (J. Cryptology, 2000) with constructions of logarithmic-depth formulae which compute threshold functions using only constant fan-in threshold gates. Using this approach, we simplify and improve on previous results in cryptography and distributed computing. In particular: * Weizmann Institute.
doi:10.1007/978-3-642-40084-1_11 fatcat:a7lwyvx6d5a2xbujlmoe6b7npe