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FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD
ORDER ORDINARY ELLIPTIC CURVES COCKS-PINCH METHOD
2015/8/5
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 i...
Exploiting Isogeny Cordillera Structure to Obtain Cryptographically Good Elliptic Curves
Cryptography Elliptic Curves Isogeny Volcanoes
2014/3/11
The security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP). Such a problem turns out to be computationally unfeasible whe...