Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p

نویسنده

  • Igor A. Semaev
چکیده

We show that to solve the discrete log problem in a subgroup of order p of an elliptic curve over the finite field of characteristic p one needs O(ln p) operations in this field. Let Fq be the finite field of q = p l elements. We define an elliptic curve E over Fq to be an equation of the form

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عنوان ژورنال:
  • Math. Comput.

دوره 67  شماره 

صفحات  -

تاریخ انتشار 1998