A New Method for Speeding Up Arithmetic on Elliptic Curves over Binary Fields.
Kwang Ho Kim, So In Kim · 2007
Abstract: Now, It is believed that the best costs of a point doubling and addition on elliptic curves over binary fields are 4 M + 5S (namely, four finite field multiplications and five field squarings) and 8 M + 5S, respectively. In this paper we reduce the costs to less than 3 M + 3S