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AFRICACRYPT
2008
Springer

Twisted Edwards Curves

8 years 8 months ago
Twisted Edwards Curves
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.
Daniel J. Bernstein, Peter Birkner, Marc Joye, Tan
Added 01 Jun 2010
Updated 01 Jun 2010
Type Conference
Year 2008
Where AFRICACRYPT
Authors Daniel J. Bernstein, Peter Birkner, Marc Joye, Tanja Lange, Christiane Peters
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