[Resource Topic] 2009/533: Finding composite order ordinary elliptic curves using the Cocks-Pinch method

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

Authors: D. Boneh, K. Rubin, 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.

ePrint: https://eprint.iacr.org/2009/533

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