On the existence of distortion maps on ordinary elliptic curves

Details On the existence of distortion maps on ordinary elliptic curves On the existence of distortion maps on ordinary elliptic curves

2006-03-31

arxiv.org/abs/math/0603724v2

Mathematics

Number Theory

3 Pages (Updated version corrects an error in the previous version)

Scientific paper

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

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