A self-pairing map and its applications to cryptography

被引：12
|
作者：
Lee, HS [1 ]
机构：
[1] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 151卷 / 03期
关键词：
bilinear pairing map; free modules; elliptic curves; crytography;
D O I：
10.1016/S0096-3003(03)00369-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a bilinear pairing map on finitely generated free R-modules with rank two where R is a commutative ring with 1, and apply this pairing to elliptic curves over fields. We also verify the pairing on elliptic Curves can be applicable to the current cryptographic schemes. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：671 / 678
页数：8
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