Journal of mathematical cryptology | |
Towards Isogeny-Based Password-Authenticated Key Establishment | |
article | |
Oleg Taraskin1  Vladimir Soukharev2  David Jao3  Jason T. LeGrow3  | |
[1] Waves Platform;InfoSec Global;University of Waterloo, 200 University Avenue West | |
关键词: isogenies; password authenticated key establishment; key establishment; post-quantum cryptography; isogeny-based cryptography; authentication; | |
DOI : 10.1515/jmc-2020-0071 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: De Gruyter | |
【 摘 要 】
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.
【 授权许可】
CC BY|CC BY-NC-ND
【 预 览 】
Files | Size | Format | View |
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RO202107200005151ZK.pdf | 500KB | download |