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Paper 2008/218
Efficient arithmetic on elliptic curves using a mixed Edwards-Montgomery representation
Wouter Castryck and Steven Galbraith and Reza Rezaeian Farashahi
Abstract
From the viewpoint of x-coordinate-only arithmetic on elliptic curves, switching between the Edwards model and the Montgomery model is quasi cost-free. We use this observation to speed up Montgomery's algorithm, reducing the complexity of a doubling step from 2M + 2S to 1M + 3S for suitably chosen curve parameters.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Contact author(s)
- wouter castryck @ gmail com
- History
- 2008-06-03: last of 2 revisions
- 2008-05-23: received
- See all versions
- Short URL
- https://ia.cr/2008/218
- License
-
CC BY
