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Polynomial generating pairing and its criterion for optimal pairing

초록/요약

We define a polynomial generating pairing (PGP) and propose a method to construct a family of pairing friendly curves from PGP. We show that a bilinear map over the family is directly determined by the coefficients of the PGP and the map is non-degenerate under a minor condition which is satisfied with cryptographic parameters. Finally, we provide a criterion for PGP to obtain an optimal pairing. © 2014, Springer-Verlag Berlin Heidelberg.

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