Publication Type

Conference Proceeding Article

Version

publishedVersion

Publication Date

12-2019

Abstract

This paper aims to address the open problem, namely, to find new techniques to design and prove security of supersingular isogeny-based authenticated key exchange (AKE) protocols against the widest possible adversarial attacks, raised by Galbraith in 2018. Concretely, we present two AKEs based on a double-key PKE in the supersingular isogeny setting secure in the sense of CK+, one of the strongest security models for AKE. Our contributions are summarised as follows. Firstly, we propose a strong OW-CPA secure PKE, 2PKEsidh, based on SI-DDH assumption. By applying modified Fujisaki-Okamoto transformation, we obtain a [OW-CCA, OW-CPA] secure KEM, 2KEMsidh. Secondly, we propose a two-pass AKE, SIAKE2, based on SI-DDH assumption, using 2KEMsidh as a building block. Thirdly, we present a modified version of 2KEMsidh that is secure against leakage under the 1-Oracle SI-DH assumption. Using the modified 2KEMsidh as a building block, we then propose a three-pass AKE, SIAKE3, based on 1-Oracle SI-DH assumption. Finally, we prove that both SIAKE2 and SIAKE3 are CK+ secure in the random oracle model and supports arbitrary registration. We also provide an implementation to illustrate the efficiency of our schemes. Our schemes compare favourably against existing isogeny-based AKEs. To the best of our knowledge, they are the first of its kind to offer security against arbitrary registration, wPFS, KCI, and MEX simultaneously. Regarding efficiency, our schemes outperform existing schemes in terms of bandwidth as well as CPU cycle count.

Discipline

Information Security

Research Areas

Cybersecurity

Areas of Excellence

Digital transformation

Publication

Proceedings of the 25th International Conference on the Theory and Application of Cryptology and Information Security Kobe, Japan, 2019 December 8-12,

First Page

278

Last Page

308

ISBN

9783030345785

Identifier

10.1007/978-3-030-34578-5_11

Publisher

Springer

City or Country

Cham

Copyright Owner and License

Authors

Additional URL

https://doi.org/10.1007/978-3-030-34578-5_11

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