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논문

Polynomial generating pairing and its criterion for optimal pairing

  • 저자Cheol-Min Park, Eunjeong Lee, Hyang-Sook Lee.
  • 학술지Applicable Algebra in Engineering, Communication and Computing 25(4), 227-247
  • 등재유형
  • 게재일자(2014)
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.
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.

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