High-Performance Multi-party Computation for Binary Circuits Based on Oblivious Transfer
Sai Sheshank Burra, Enrique Larraia, Jesper Buus Nielsen, Peter Sebastian Nordholt, Claudio Orlandi, Emmanuela Orsini, Peter A. Scholl, Nigel Paul Smart · Journal of Cryptology · 2021
We present a unified view of the two-party and multi-party computation protocols based on oblivious transfer first outlined in Nielsen et al. (CRYPTO 2012) and Larraia et al. (CRYPTO 2014). We present a number of modifications and improvements to these earlier presentations, as well as full proofs of the entire protocol. Improvements include a unified pre-processing and online MAC methodology, mechanisms to pass between different MAC variants and fixing a minor bug in the protocol of Larraia et al. in relation to a selective failure attack. It also fixes a minor bug in Nielsen et al. resulting from using Jensen’s inequality in the wrong direction in an analysis.