Elliptic Curve Paillier Schemes
Elliptic Curve Paillier Schemes
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DOI：
10.1007/s00145-001-0015-6
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发表时间：
2001
影响因子：
3
通讯作者：
S. Galbraith
中科院分区：
文献类型：
--
作者：
S. Galbraith
本文将Paillier的概率加密方案从模平方整数推广到环上的椭圆曲线。Paillier本人描述了两个基于环上的反常椭圆曲线的公钥加密方案。有人认为，这些计划是不安全的。一个更自然的推广Paillier计划椭圆曲线。
This paper is concerned with generalisations of Paillier's probabilistic encryption scheme from the integers modulo a square to elliptic curves over rings. Paillier himself described two public key encryption schemes based on anomalous elliptic curves over rings. It is argued that these schemes are not secure. A more natural generalisation of Paillier's scheme to elliptic curves is given.