[Resource Topic] 2018/307: Isolated Curves and the MOV Attack

Resource Public-key cryptography
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Welcome to the resource topic for 2018/307

Title:
Isolated Curves and the MOV Attack

Authors: Travis Scholl

Abstract:

We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman-Horn conjecture, we prove that elliptic curves produced this way almost always have a large embedding degree, and thus are resistant to the MOV attack on the ECDLP.

ePrint: https://eprint.iacr.org/2018/307

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