Publications

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

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

Abstract:
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.

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

Full paper: pdf