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We apply Smith's construction to generate four-dimensional GLV curves with fast arithmetic in the group law as well as in the base field. As Costello and Longa did in [5] for a 128-bit security level,...
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...
The Gallant-Lambert-Vanstone (GLV) algorithm uses efficiently computable endomorphisms to accelerate the computation of scalar multiplication of points on an abelian variety. Freeman and Satoh propose...
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...
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....
The Gallant-Lambert-Vanstone (GLV) method is a very efficient technique for accelerating point multiplication on elliptic curves with efficiently computable endomorphisms.

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