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On the existence of distortion maps on ordinary elliptic curves
Authors: Denis CharlesAbstract:
Distortion maps allow one to solve the Decision Diffie-Hellman problem on subgroups of points on an elliptic curve. In the case of ordinary elliptic curves over finite fields, it is known that in most cases there are no distortion maps for the Frobenius eigenspaces. In this article we characterize the existence of distortion maps in the remaining cases.
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