Paper 2018/459

Supersingular Isogeny Oblivious Transfer

Paulo Barreto and Glaucio Oliveira and Waldyr Benits and Anderson Nascimento

Abstract

In this paper we present an Oblivious Transfer (OT) protocol that combines an OT scheme together with the Supersingular Isogeny Diffie-Hellman (SIDH) primitive. Our proposal is a candidate for post-quantum secure OT and demonstrates that SIDH naturally supports OT functionality. We consider the protocol in the simplest configuration and analyze the protocol to verify its security.

Note: The theorem and security assumptions have been improved with respect to editing. In addition, a performance estimation comparison with other similar protocols has been included.