|
|||||
|
|
Polynomial generating pairing and its criterion for optimal pairing |
|
| Authors: | Eunjeong Lee Hyang-Sook Lee Cheol-Min Park |
| Affiliation: | 1. Institute of Mathematical Sciences, Ewha Womans University, Seoul?, 120-750, South Korea 2. Department of Mathematics, Ewha Womans University, Seoul?, 120-750, South Korea 3. National Institute for Mathematical Sciences (NIMS), Daejeon?, 305-811, South Korea |
| Abstract: | 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. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |