New Fast Algorithms for Arithmetic on Elliptic Curves over Fields of Characteristic Three.
Kwang Ho Kim, So In Kim, Ju Song Choe · IACR Cryptology ePrint Archive · 2007
In this paper we propose new formulae and algorithms for arithmetic on ordinary elliptic curve with a point of order 3 over finite field of characteristic three, by which the cost of a point multiplication on the curves decreases about 10~20% .