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OPRFs from Isogenies

open access: yesProceedings of the 19th ACM Asia Conference on Computer and Communications Security
Lena Heimberger   +4 more
openaire   +2 more sources
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Descent via isogeny on elliptic curves with large rational torsion subgroups [PDF]

open access: yesJournal of Symbolic Computation, 2008
We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic curves. We describe, in this context, variations of standard inequalities which aid the computation of members of the Tate-Shafarevich group.
Flynn, Eugene   +7 more
exaly   +2 more sources

Efficient Isogeny Proofs Using Generic Techniques [PDF]

open access: yesLecture Notes in Computer Science, 2023
Generating supersingular elliptic curves of unknown endomorphism ring has been a problem vexing isogeny-based cryptographers for several years. A recent development has proposed a trusted setup protocol to generate such a curve, where each participant ...
Kelong Cong, Yi-Fu Lai, Shai Levin
exaly   +2 more sources

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