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Hard isogeny problems over RSA moduli and groups with infeasible inversion
[article]
2019
arXiv
pre-print
We initiate the study of computational problems on elliptic curve isogeny graphs defined over RSA moduli. We conjecture that several variants of the neighbor-search problem over these graphs are hard, and provide a comprehensive list of cryptanalytic attempts on these problems. Moreover, based on the hardness of these problems, we provide a construction of groups with infeasible inversion, where the underlying groups are the ideal class groups of imaginary quadratic orders. Recall that in a
arXiv:1810.00022v2
fatcat:s6ehpuorsnfflfo24kykcvckla