Password-Based Authenticated Key Exchange from Standard Isogeny Assumptions

Shintaro Terada,Kazuki Yoneyama

doi:10.1007/978-3-030-31919-9_3

Password-Based Authenticated Key Exchange from Standard Isogeny Assumptions

Shintaro Terada, Kazuki Yoneyama

https://doi.org/10.1007/978-3-030-31919-9_3

Copy DOI

Publication Date: Jan 1, 2019

Citations: 6

Affiliation: Ibaraki University, Hitachi (Japan)

#Supersingular Isogeny Diffie-Hellman #Password-based Authenticated Key Exchange + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

The isogeny-based cryptosystems are considered as one of post-quantum cryptosystems. Taraskin et al. proposed a password-based authenticated key exchange (PAKE) scheme from isogeny by extending Jao et al.’s supersingular isogeny Diffie-Hellman (SIDH) protocol. In their scheme, a new group action is introduced in addition to SIDH due to non-commutativity of SIDH in order to embed the password to the DH public key. Also, in the security proof, new non-standard assumptions regarding the new group action are necessary. It is not clear if these assumptions are really hard.

Full Text