Towards Isogeny-Based Password-Authenticated Key Establishment.

Autor: Taraskin, Oleg, Soukharev, Vladimir, Jao, David, LeGrow, Jason T.
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Zdroj: Journal of Mathematical Cryptology; 2021, Vol. 15 Issue 1, p18-30, 13p
Abstrakt: Password authenticated key establishment (PAKE) is a cryptographic primitive that allows two parties who share a low-entropy secret (a password) to securely establish cryptographic keys in the absence of public key infrastructure. We propose the first quantum-resistant password-authenticated key exchange scheme based on supersingular elliptic curve isogenies. The scheme is built upon supersingular isogeny Diffie-Hellman [15], and uses the password to generate permutations which obscure the auxiliary points. We include elements of a security proof, and discuss roadblocks to obtaining a proof in the BPR model [1]. We also include some performance results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index