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Paper 2008/013
Twisted Edwards Curves
Daniel J. Bernstein and Peter Birkner and Marc Joye and Tanja Lange and Christiane Peters
Abstract
This paper introduces ``twisted Edwards curves,'' a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over finite fields, and in particular every elliptic curve in Montgomery form; shows how to cover even more curves via isogenies; presents fast explicit formulas for twisted Edwards curves in projective and inverted coordinates; and shows that twisted Edwards curves save time for many curves that were already expressible as Edwards curves.
Note: Included material on isogenies.
Metadata
- Available format(s)
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Elliptic curvesEdwards curvestwisted Edwards curvesMontgomery curvesisogenies.
- Contact author(s)
- tanja @ hyperelliptic org
- History
- 2008-03-13: last of 2 revisions
- 2008-01-14: received
- See all versions
- Short URL
- https://ia.cr/2008/013
- License
-
CC BY