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» Bilinear character sums over elliptic curves
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FFA
2008
53views more  FFA 2008»
13 years 5 months ago
Bilinear character sums over elliptic curves
Let k be a finite field with q elements. Let kn be the extension of k with degree n. Let Nn be the kernel of the norm map Nkn/k : k
Igor Shparlinski
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
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
CRYPTO
2004
Springer
126views Cryptology» more  CRYPTO 2004»
13 years 10 months ago
Compressed Pairings
Pairing-based cryptosystems rely on bilinear non-degenerate maps called pairings, such as the Tate and Weil pairings defined over certain elliptic curve groups. In this paper we s...
Michael Scott, Paulo S. L. M. Barreto