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A pairing SW implementation for Smart-Cards
2008
Journal of Systems and Software
The aim of this work is to show the feasibility of the primitives of the identity based cryptosystems for applications in Smart-Cards. Several observations are applied to easily choose many supersingular elliptic curves over a prime field F p ; p > 3; p 3 mod 4, in such a way that the size of the torsion subgroup, the curve order and the finite field characteristic are of minimal Hamming weight. We modify the Chudnovsky elliptic curve point representation to settle a dedicated coordinate system
doi:10.1016/j.jss.2007.09.022
fatcat:wv22mlqetfb43jas7cvynwuf7i