Twisted Edwards Curves

نویسندگان

  • Daniel J. Bernstein
  • Peter Birkner
  • Marc Joye
  • Tanja Lange
  • Christiane Peters
چکیده

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.

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عنوان ژورنال:
  • IACR Cryptology ePrint Archive

دوره 2008  شماره 

صفحات  -

تاریخ انتشار 2008