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Cocks-Pinch curves of embedding degrees five to eight and optimal ate pairing computation
NFS optimal ate pairing computation
2019/4/28
Recent algorithmic improvements of discrete logarithm computation in special extension fields threaten the security of pairing-friendly curves used in practice. A possible answer to this delicate situ...
The Cocks Identity Based Encryption (IBE) scheme, proposed in 2001 by Clifford Cocks, has been the standard for Quadratic Residue-based IBE. It had been long believed that this IBE did not have enough...
FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD
Cocks-Pinch method ordinary elliptic curves order setting
2009/11/18
We apply the Cocks-Pinch method to obtain pairing-friendly com-
posite order groups with prescribed embedding degree associated to ordinary
elliptic curves, and we show that new security issues aris...