Cryptology ePrint Archive: Report 2018/459

Supersingular Isogeny Oblivious Transfer

Paulo Barreto and Glaucio Oliveira and Waldyr Benits

Abstract: We present an oblivious transfer (OT) protocol that combines the OT scheme of Chou and Orlandi together with the supersingular isogeny Diffie-Hellman (SIDH) primitive of De Feo, Jao, and Plūt. 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.

Category / Keywords: supersingular elliptic curves, isogenies, supersingular isogeny Diffie-Hellman, oblivious transfer.

Date: received 16 May 2018, last revised 16 May 2018

Contact author: glaucioaorj at gmail com

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Note: Submitted

Version: 20180521:165006 (All versions of this report)

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