Welcome to the resource topic for 2008/013
Title:
Twisted Edwards Curves
Authors: Daniel J. Bernstein, Peter Birkner, Marc Joye, Tanja Lange, 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.
ePrint: https://eprint.iacr.org/2008/013
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