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arXiv · 2011.14980

Oblivious Transfer is in MiniQCrypt

Alex B. Grilo·Huijia Lin·Fang Song·Vinod Vaikuntanathan
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Abstract

MiniQCrypt is a world where quantum-secure one-way functions exist, and quantum communication is possible. We construct an oblivious transfer (OT) protocol in MiniQCrypt that achieves simulation-security in the plain model against malicious quantum polynomial-time adversaries, building on the foundational work of Bennett, Brassard, Cr\'epeau and Skubiszewska (CRYPTO 1991). Combining the OT protocol with prior works, we obtain secure two-party and multi-party computation protocols also in MiniQCrypt. This is in contrast to the classical world, where it is widely believed that one-way functions alone do not give us OT. In the common random string model, we achieve a constant-round universally composable (UC) OT protocol.

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Alex B. Grilo, Huijia Lin, Fang Song, Vinod Vaikuntanathan. 2020-11-30. Oblivious Transfer is in MiniQCrypt. https://arxiv.org/abs/2011.14980

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