A related contribution is a discussion of distortion maps which are not isomorphisms. We give explicit distortion maps for elliptic curves with complex multiplication of discriminants $D=-7$ and $D=-8$.
Category / Keywords: public-key cryptography / pairings, elliptic curves, decision-Diffie-Hellman problem Date: received 2 Mar 2004, last revised 31 Aug 2004 Contact author: Steven Galbraith at rhul ac uk Available format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation Note: This paper has now appeared in LMS J. Comput. Math. 7 (2004) 201--218
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