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Title:
Elliptic curve Paillier schemes
Authors: Steven D Galbraith
Abstract: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.
ePrint: https://eprint.iacr.org/2001/050
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