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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...
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
GLV GLS Genus 2
2013/4/18
This paper explores the potential for using genus~2 curves over quadratic extension fields in cryptography, motivated by the fact that they allow for an 8-dimensional scalar decomposition when using a...