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Optimal Strategies for CSIDH

open access: yesAdvances in Mathematics of Communications, 2022
<p style='text-indent:20px;'>Since its proposal in Asiacrypt 2018, the commutative isogeny-based key exchange protocol (CSIDH) has spurred considerable attention to improving its performance and re-evaluating its classical and quantum security guarantees.
Francisco José Rodriguez-Henriquez   +1 more
exaly   +6 more sources

A Faster Way to the CSIDH

open access: yesLecture Notes in Computer Science, 2018
Recently Castryck, Lange, Martindale, Panny, and Renes published CSIDH, a new key exchange scheme using supersingular elliptic curve isogenies. Due to its small key sizes and the possibility of a non-interactive and a static-static key exchange, CSIDH seems very interesting for practical applications. However, the performance is rather slow. Therefore,
Steffen Reith
exaly   +13 more sources

DeCSIDH: Delegating Isogeny Computations in the CSIDH Setting

open access: yesLecture Notes in Computer Science, 2021
sponsorship: This work was supported in part by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No. 101020788 -Adv-ERC-ISOCRYPT), the Research Council KU Leuven grant C14/18/067, and by CyberSecurity Research Flanders with reference number VR20192203.
Robi Pedersen
exaly   +5 more sources

CSIDH on the Surface [PDF]

open access: yesLecture Notes in Computer Science, 2020
For primes \(p \equiv 3 \bmod 4\), we show that setting up CSIDH on the surface, i.e., using supersingular elliptic curves with endomorphism ring \(\mathbf {Z}[(1 + \sqrt{-p})/2]\), amounts to just a few sign switches in the underlying arithmetic. If \(p \equiv 7 \bmod 8\) then horizontal 2-isogenies can be used to help compute the class group action ...
Wouter Castryck
exaly   +3 more sources

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