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引用次数: 0
摘要
本文提出了一个坐标系，其中点(x, y)表示为(x, y, Z, W)，满足x = x /Z和y = y /W。在本文提出的坐标系中，椭圆曲线密码系统的主要运算——标量乘法在扭曲爱德华兹曲线±x2 + y2 = 1 + dx2y2上的代价与混合坐标系中现有的最低代价相同，标量乘法的实现变得更加容易。
Coordinate system for elliptic curve cryptosystem on twisted Edwards curve
This paper proposes a coordinate system in which a point (x, y) is represented as (X, Y, Z, W), where x = X/Z and y = Y/W are satisfied. In the proposed coordinate system, the cost of scalar multiplication, which is the dominant operation of elliptic curve cryptosystems, on the twisted Edwards curve ±x2 + y2 = 1 + dx2y2 is the same as the existing lowest cost in a mixed coordinate system, and implementation of scalar multiplication becomes easier.
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