IEICET
2008
13 years 4 months ago
2008
For AES 128 security level there are several natural choices for pairing-friendly elliptic curves. In particular, as we will explain, one might choose curves with k = 9 or curves w...
ICISC
2007
13 years 6 months ago
2007
Pairing based cryptography is a new public key cryptographic scheme. An elliptic curve suitable for pairing based cryptography is called a “pairing-friendly” elliptic curve. Af...
PKC
2010
Springer
13 years 8 months ago
2010
Springer
Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restric...
PAIRING
2007
Springer
13 years 10 months ago
2007
Springer
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
PAIRING
2009
Springer
13 years 11 months ago
2009
Springer
This paper presents efficient formulas for computing cryptographic pairings on the curve y2 = cx3 + 1 over fields of large characteristic. We provide examples of pairing-friendly...