Elliptic divisibility sequences and the elliptic curve discrete logarithm problem

نویسندگان

  • Rachel Shipsey
  • Christine Swart
چکیده

We use properties of the division polynomials of an elliptic curve E over a finite field Fq together with a pure result about elliptic divisibility sequences from the 1940s to construct a very simple alternative to the Menezes-Okamoto-Vanstone algorithm for solving the elliptic curve discrete logarithm problem in the case where #E(Fq) = q − 1.

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عنوان ژورنال:
  • IACR Cryptology ePrint Archive

دوره 2008  شماره 

صفحات  -

تاریخ انتشار 2008