Finding composite order ordinary elliptic curves using the Cocks-Pinch method

Authors: D. Boneh, K. Rubin, and A. Silverberg

We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescribed embedding degree associated to ordinary elliptic curves, and we show that new security issues arise in the composite order setting.

Journal of Number Theory, Vol. 131 (5), 2011, pp. 832-841.   [BIBTEX]

Full paper: pdf