## CryptoDB

### Paper: Twisted Edwards Curves

Authors: Daniel J. Bernstein Peter Birkner Marc Joye Tanja Lange Christiane Peters URL: http://eprint.iacr.org/2008/013 Search ePrint Search Google 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.
##### BibTeX
@misc{eprint-2008-17690,
title={Twisted Edwards Curves},
booktitle={IACR Eprint archive},
keywords={Elliptic curves, Edwards curves, twisted Edwards curves, Montgomery curves, isogenies.},
url={http://eprint.iacr.org/2008/013},
note={ tanja@hyperelliptic.org 13951 received 8 Jan 2008, last revised 13 Mar 2008},
author={Daniel J. Bernstein and Peter Birkner and Marc Joye and Tanja Lange and Christiane Peters},
year=2008
}