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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
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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
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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...
Implementing 4-Dimensional GLV Method on GLS Elliptic Curves with j-Invariant 0
public-key cryptography / Elliptic curves point multiplication GLV method GLS curves
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2012/3/27
The Gallant-Lambert-Vanstone (GLV) method is a very efficient technique for accelerating point multiplication on elliptic curves with efficiently computable endomorphisms. Galbraith, Lin and Scott (J....
Implementing 4-Dimensional GLV Method on GLS Elliptic Curves with j-Invariant 0
Elliptic curves point multiplication GLV method GLS curves
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2011/7/25
The Gallant-Lambert-Vanstone (GLV) method is a very efficient technique for accelerating point multiplication on elliptic curves with efficiently computable endomorphisms.