Elliptic Curve Paillier Schemes |
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| Authors: | Steven D Galbraith |
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| Affiliation: | (1) Computer Science Department, University of Bristol, Merchant Venturers Building, Woodland Road, Bristol BS8 1UB, England steven@cs.bris.ac.uk, UK |
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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.
Received January 2001 and revised June 2001 Online publication 23 November 2001 |
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| Keywords: | , Public key cryptography, Cryptanalysis, Elliptic curves, Factoring, |
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