Title
Towards practical key exchange from ordinary isogeny graphs.
Abstract
We revisit the ordinary isogeny-graph based cryptosystems of Couveignes and Rostovtsev–Stolbunov, long dismissed as impractical. We give algorithmic improvements that accelerate key exchange in this framework, and explore the problem of generating suitable system parameters for contemporary pre- and post-quantum security that take advantage of these new algorithms. We also prove the session-key security of this key exchange in the Canetti–Krawczyk model, and the IND-CPA security of the related public-key encryption scheme, under reasonable assumptions on the hardness of computing isogeny walks. Our systems admit efficient key-validation techniques that yield CCA-secure encryption, thus providing an important step towards efficient post-quantum non-interactive key exchange (NIKE).
Year
DOI
Venue
2018
10.1007/978-3-030-03332-3_14
IACR Cryptology ePrint Archive
DocType
Volume
ISSN
Journal
2018
ASIACRYPT 2018, Dec 2018, Brisbane, Australia
Citations 
PageRank 
References 
5
0.44
31
Authors
3
Name
Order
Citations
PageRank
Luca De Feo1627.36
Jean-claude Kieffer252.13
Benjamin Smith3305.54