Welcome to the resource topic for 2020/985
Title:
Orienting supersingular isogeny graphs
Authors: Leonardo Colò, David Kohel
Abstract:We introduce a category of O-oriented supersingular elliptic curves and derive properties of the associated oriented and nonoriented \ell-isogeny supersingular isogeny graphs. As an application we introduce an oriented supersingular isogeny Diffie-Hellman protocol (OSIDH), analogous to the supersingular isogeny Diffie-Hellman (SIDH) protocol and generalizing the commutative supersingular isogeny Diffie-Hellman (CSIDH) protocol.
ePrint: https://eprint.iacr.org/2020/985
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