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Journal Articles Journal of Mathematical Cryptology Year : 2020

Orienting supersingular isogeny graphs

Abstract

We introduce a category of O-oriented supersingular elliptic curves and derive properties of the associated oriented and nonoriented-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.
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Dates and versions

hal-03089563 , version 1 (28-12-2020)

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Leonardo Colò, David Kohel. Orienting supersingular isogeny graphs. Journal of Mathematical Cryptology, 2020, 14 (1), pp.414-437. ⟨10.1515/jmc-2019-0034⟩. ⟨hal-03089563⟩
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