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    "A study on Constructing Elliptic Curves with
    arbitrary Embedding Degrees"

    Cryptosystems and signature systems using Weil-Pairing and Tate-Pairing was proposed. These systems require construction of the elliptic curves with a suitable embedding degree. Barreto el. and Morain el. proposed a method, in which a ratio of the size of definition field of elliptic curve to subgroup of elliptic curve order was approximately 2. In this paper, we compare two methods.

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