Montgomery algorithm on elliptic curves over finite fields of character three

WANG Hong1; LI Bao1; YU Wei2

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Montgomery algorithm on elliptic curves over finite fields of character three

更新时间：2024-10-14

- Montgomery algorithm on elliptic curves over finite fields of character three
- Issue 10, Pages: 25-29(2008)
- 作者机构：
  
  1. 中国科学院研究生院信息安全国家重点实验室
  2. 中国科学技术大学电子工程与信息科学系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918.1
- Published：2008
- 稿件说明：
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WANG Hong1, LI Bao1, YU Wei2. Montgomery algorithm on elliptic curves over finite fields of character three[J]. 2008, (10): 25-29.
DOI：

WANG Hong1, LI Bao1, YU Wei2. Montgomery algorithm on elliptic curves over finite fields of character three[J]. 2008, (10): 25-29. DOI：

摘要

研究了Montgomery算法在特征3有限域上椭圆曲线的应用。根据Montgomery算法的结构

省去y坐标的计算

提出新的点加和倍点计算公式

加快点乘计算速度。经过理论分析和实验验证

提出的点加和倍点计算公式可节省约15%的运算时间。

Abstract

Application of Montgomery algorithm on elliptic curves defined over finite fields of character three was re-searched.Due to the structure of Montgomery algorithm

y-coordinate was ignored

a new formula to compute point ad-dition and point doubling was proposed to accelerate the scalar point multiplication.According to theoretical analysis and experimental verification

new formula saves about 15 percent running time.

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