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Paper 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.
Metadata
- Available format(s)
-
PDF
- Category
- Cryptographic protocols
- Publication info
- Preprint. MINOR revision.
- Keywords
- Supersingular isogeny graphsisogeny-based cryptography
- Contact author(s)
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Leonardo Colo @ univ-amu fr
David Kohel @ univ-amu fr - History
- 2020-08-18: received
- Short URL
- https://ia.cr/2020/985
- License
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CC BY
