Title
Pre- and post-quantum Diffie-Hellman from groups, actions, and isogenies.
Abstract
key exchange is at the foundations of public-key cryptography, but conventional group-based is vulnerable to Shoru0027s quantum algorithm. A range of Diffie-Hellman protocols have been proposed to mitigate this threat, including the Couveignes, Rostovtsev-Stolbunov, SIDH, and CSIDH schemes, all based on the combinatorial and number-theoretic structures formed by isogenies of elliptic curves. Pre-and post-quantum schemes resemble each other at the highest level, but the further down we dive, the more differences emerge-differences that are critical when we use as a basic component in more complicated constructions. In this survey we compare and contrast pre-and post-quantum algorithms, highlighting some important subtleties.
Year
DOI
Venue
2018
10.1007/978-3-030-05153-2_1
IACR Cryptology ePrint Archive
DocType
Volume
ISSN
Journal
2018
Arithmetic of Finite Fields - WAIFI 2018, Jun 2018, Bergen, Norway. pp.36, \&\#x27E8;10.1007/978-3-030-05153-2\_1\&\#x27E9
Citations 
PageRank 
References 
0
0.34
66
Authors
1
Name
Order
Citations
PageRank
Benjamin Smith1305.54