Name
Title | ||
|---|---|---|
Implementation Of An Elliptic Curve Scalar Multiplication Method Using Division Polynomials |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1587/transfun.E97.A.300 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
elliptic curve, division polynomial, scalar multiplication, elliptic net | Elliptic rational functions,Discrete mathematics,Scalar multiplication,Modular elliptic curve,Algebra,Elliptic curve point multiplication,Division polynomials,Hessian form of an elliptic curve,Schoof's algorithm,Mathematics,Tripling-oriented Doche–Icart–Kohel curve | Journal |
Volume | Issue | ISSN |
E97A | 1 | 0916-8508 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Naoki Kanayama | 1 | 139 | 19.29 |
| Yang Liu | 2 | 0 | 0.68 |
| Eiji Okamoto | 3 | 5 | 1.75 |
| Kazutaka Saito | 4 | 0 | 0.34 |
| Tadanori Teruya | 5 | 101 | 10.48 |
| Shigenori Uchiyama | 6 | 371 | 40.90 |