Cryptology ePrint Archive: Report 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.

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

Original Publication (with major differences): XIX Brazilian Symposium on Information and Computacional Security

Date: received 16 May 2018, last revised 13 Oct 2019

Contact author: glaucioaorj at gmail com

Available format(s): PDF | BibTeX Citation

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.

Version: 20191013:225210 (All versions of this report)

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