Implementation of an Elliptic Curve Scalar Multiplication Method Using Division Polynomials

Naoki KANAYAMA; Yang LIU; Eiji OKAMOTO; Kazutaka SAITO; Tadanori TERUYA; Shigenori UCHIYAMA

doi:10.1587/transfun.E97.A.300

Special Section on Cryptography and Information Security

Implementation of an Elliptic Curve Scalar Multiplication Method Using Division Polynomials

Naoki KANAYAMA, Yang LIU, Eiji OKAMOTO, Kazutaka SAITO, Tadanori TERUYA, Shigenori UCHIYAMA

著者情報

キーワード: elliptic curve, division polynomial, scalar multiplication, elliptic net

ジャーナル認証あり

2014 年 E97.A 巻 1 号 p. 300-302

DOI https://doi.org/10.1587/transfun.E97.A.300

詳細

抄録

We implemented a scalar multiplication method over elliptic curves using division polynomials. We adapt an algorithm for computing elliptic nets proposed by Stange. According to our experimental results, the scalar multiplication method using division polynomials is faster than the binary method in an affine coordinate system.

責任著者(Corresponding author)

J-STAGEへの登録はこちら（無料）