Elliptic curve Paillier schemes

Steven D Galbraith

Paper 2001/050 Original: eprint.iacr.org/2001/050 ↗

Elliptic curve Paillier schemes

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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2001-06-20: last updated; 2001-06-20: published
Short URL: https://ia.cr/2001/050
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2001/050,
      author = {Steven D Galbraith},
      title = {Elliptic curve Paillier schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2001/050},
      year = {2001},
      url = {https://eprint.iacr.org/2001/050}
}