Supersingular Isogeny Oblivious Transfer (SIOT)

TL;DR

This paper introduces a post-quantum secure oblivious transfer protocol that leverages supersingular isogeny Diffie-Hellman, demonstrating SIDH's natural suitability for OT functionalities.

Contribution

It combines existing OT schemes with SIDH to create a candidate for post-quantum secure OT, analyzing its security in the simplest configuration.

Findings

Proposes a SIDH-based OT protocol.

Verifies security in the simplest OT configuration.

Supports post-quantum cryptography goals.

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 Pl\^ut. 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 $\binom{2}{1}$-OT and analyze the protocol to verify its security.