Two-Round Oblivious Transfer from CDH or LPN

Döttling, Nico and Garg, Sanjam and Hajiabadi, Mohammad and Masny, Daniel and Wichs, Daniel
(2020) Two-Round Oblivious Transfer from CDH or LPN.
In: Eurocrypt 2020.
Conference: EuroCrypt International Conference on the Theory and Application of Cryptographic Techniques
(In Press)

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Abstract

We show a new general approach for constructing maliciously-secure two-round oblivious transfer (OT). Specifically, we provide a generic sequence of transformations to upgrade a very basic notion of two-round OT, which we call elementary OT, to UC-secure OT. We then give simple constructions of elementary OT under the Computational Diffie-Hellman (CDH) assumption or the Learning Parity with Noise (LPN) assumption, yielding the first constructions of malicious (UC-secure) two-round OT under these assumptions. Since two-round OT is complete for two-round 2-party and multi-party computation in the malicious setting, we also achieve the first constructions of the latter under these assumptions.

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