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DCC
2011
IEEE
12 years 12 months ago
Computing bilinear pairings on elliptic curves with automorphisms
In this paper, we present a novel method for constructing a super-optimal pairing with great efficiency, which we call the omega pairing. The computation of the omega pairing requi...
Changan Zhao, Dongqing Xie, Fangguo Zhang, Jingwei...
IACR
2011
146views more  IACR 2011»
12 years 4 months ago
Identity-based Digital Signature Scheme Without Bilinear Pairings
: Many identity-based digital signature schemes using bilinear pairings have been proposed. But the relative computation cost of the pairing is approximately twenty times higher th...
Debiao He, Jianhua Chen, Jin Hu
FOCS
2007
IEEE
13 years 8 months ago
Space-Efficient Identity Based Encryption Without Pairings
Identity Based Encryption (IBE) systems are often constructed using bilinear maps (a.k.a. pairings) on elliptic curves. One exception is an elegant system due to Cocks which build...
Dan Boneh, Craig Gentry, Michael Hamburg
EUROCRYPT
2011
Springer
12 years 8 months ago
Faster Explicit Formulas for Computing Pairings over Ordinary Curves
Abstract. We describe efficient formulas for computing pairings on ordinary elliptic curves over prime fields. First, we generalize lazy reduction techniques, previously considere...
Diego F. Aranha, Koray Karabina, Patrick Longa, Ca...
MDAI
2005
Springer
13 years 10 months ago
Cryptosystems Based on Elliptic Curve Pairing
The purpose of this paper is to introduce pairing over elliptic curve and apply it to ID based key agreement schemes and privacy preserving key agreement schemes. The key words her...
Eiji Okamoto, Takeshi Okamoto