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Elliptic curve Paillier schemes
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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. |
BibTeX
@misc{eprint-2001-11462, title={Elliptic curve Paillier schemes}, booktitle={IACR Eprint archive}, keywords={public-key cryptography / Public key cryptography, cryptanalysis, elliptic}, url={http://eprint.iacr.org/2001/050}, note={To appear in J. Crypt steven@cs.bris.ac.uk 11493 received 20 Jun 2001}, author={Steven D. Galbraith}, year=2001 }