Building Curves with Arbitrary Small MOV Degree over Finite Prime Fields

@article{Dupont2002BuildingCW,
  title={Building Curves with Arbitrary Small MOV Degree over Finite Prime Fields},
  author={R{\'e}gis Dupont and Andreas Enge and François Morain},
  journal={Journal of Cryptology},
  year={2002},
  volume={18},
  pages={79-89}
}
We present a fast algorithm for building ordinary elliptic curves over finite prime fields having arbitrary small MOV degree. The elliptic curves are obtained using complex multiplication by any desired discriminant. 

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