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Isogeny Volcanoes and the SEA Algorithm
2002Recently, Kohel gave algorithms to compute the conductor of the endomorphism ring of an ordinary elliptic curve, given the cardinality of the curve. Using his work, we give a complete description of the structure of curves related via rational l-degree isogenies, a structure we call a volcano.
Mireille Fouquet, François Morain
openaire +1 more source
How Not to Create an Isogeny-Based PAKE
Lecture Notes in Computer Science, 2020Brian Koziel +2 more
exaly
SiGamal: A Supersingular Isogeny-Based PKE and Its Application to a PRF
Lecture Notes in Computer Science, 2020Hiroshi Onuki +2 more
exaly
SIKE’d Up: Fast Hardware Architectures for Supersingular Isogeny Key Encapsulation
IEEE Transactions on Circuits and Systems I: Regular Papers, 2020Brian Koziel +2 more
exaly
Isogeny Interpolation and the Computation of Isogenies from Higher Dimensional Representations
David Jao, Jeanne Laflammeopenaire +3 more sources
A High-Performance and Scalable Hardware Architecture for Isogeny-Based Cryptography
IEEE Transactions on Computers, 2018Brian Koziel +2 more
exaly