Operations of Points on Elliptic Curve in Projective Coordinates

被引：4

作者：

Futa, Yuichi ^{[1
]}

Okazaki, Hiroyuki ^{[1
]}

Mizushima, Daichi ^{[1
]}

Shidama, Yasunari ^{[1
]}

机构：

[1] Shinshu Univ, Nagano, Japan

来源：

FORMALIZED MATHEMATICS | 2012年 / 20卷 / 01期

关键词：

D O I：

10.2478/v10037-012-0012-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we formalize operations of points on an elliptic curve over GF(p). Elliptic curve cryptography [7], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security. We prove that the two operations of points: compell(ProjCo) and addellProjCo are unary and binary operations of a point over the elliptic curve.

引用

页码：87 / 95

页数：9

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