Supersingular Isogeny Oblivious Transfer (SIOT)

Paulo Barreto; Anderson Nascimento; Glaucio Oliveira; Waldyr Benits

Supersingular Isogeny Oblivious Transfer (SIOT)

Cryptography and Security 2021-01-14 v2

Authors: Paulo Barreto , Anderson Nascimento , Glaucio Oliveira , Waldyr Benits

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.

Cite

@article{arxiv.1805.06589,
  title  = {Supersingular Isogeny Oblivious Transfer (SIOT)},
  author = {Paulo Barreto and Anderson Nascimento and Glaucio Oliveira and Waldyr Benits},
  journal= {arXiv preprint arXiv:1805.06589},
  year   = {2021}
}