Coordinate System for Elliptic Curve Cryptosystem on Twisted Edwards Curve

被引:0
|
作者
Shirase, Masaaki [1 ]
机构
[1] Future Univ Hakodate, Hakodate, Hokkaido, Japan
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中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
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 +/- x(2) + y(2) = 1 + dx(2)y(2) is the same as the existing lowest cost in a mixed coordinate system, and implementation of scalar multiplication becomes easier.
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页码:9 / 10
页数:2
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