Supersingular Isogeny Oblivious Transfer (SIOT)

Abstract

We present an oblivious transfer (OT) protocol that combines the OT scheme of Chou and Orlandi together with thesupersingular isogeny Diffie-Hellman (SIDH) primitive of De Feo, Jao, and Plût. Our construction is a candidate for post-quantum secure OT and demonstrates that SIDH naturally supports OT functionality. We consider the protocol in the simplest configuration of $\left(\genfrac{}{}{0ex}{}{2}{1}\right)$-OT and analyze the protocol to verify its security.

26 pages, 4 figures, Submitted