Cryptology ePrint Archive: Report 2020/985
Orienting supersingular isogeny graphs
Leonardo Colò and 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.
Category / Keywords: cryptographic protocols / Supersingular isogeny graphs, isogeny-based cryptography
Date: received 15 Aug 2020
Contact author: Leonardo Colo at univ-amu fr, David Kohel@univ-amu fr
Available format(s): PDF | BibTeX Citation
Version: 20200818:083715 (All versions of this report)
Short URL: ia.cr/2020/985
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