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Pairing-Friendly Twisted Hessian Curves
twisted Hessian curves pairing-friendly curves ate pairing
2018/11/2
This paper presents efficient formulas to compute Miller doubling and Miller addition utilizing degree-3 twists on curves with j-invariant 0 written in Hessian form. We give the formulas for both odd...
This paper presents new speed records for arithmetic on a large family of elliptic curves with cofactor 3: specifically, 8.77M per bit for 256-bit variable-base single-scalar multiplication when curve...
Faster arithmetic on elliptic curves using Fp2. Application to GLV-GLS and NIST elliptic curves over Fp isomorphic to twisted Hessian curves over fields extension
Field extension twisted Hessian curves GLV-GLS
2015/12/21
In this article we present how we can use fast Fp2 multiplication to
speed-up arithmetic on elliptic curves. We use parallel computations
for multiplication in Fp2 which is not much slower than mult...
