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» Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
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ACISP
2005
Springer
15 years 1 months ago
Redundant Trinomials for Finite Fields of Characteristic 2
Abstract. In this article we introduce redundant trinomials to represent elements of finite fields of characteristic 2. This paper develops applications to cryptography, especial...
Christophe Doche
EUROCRYPT
2011
Springer
14 years 3 months ago
Faster Explicit Formulas for Computing Pairings over Ordinary Curves
Abstract. We describe efficient formulas for computing pairings on ordinary elliptic curves over prime fields. First, we generalize lazy reduction techniques, previously considere...
Diego F. Aranha, Koray Karabina, Patrick Longa, Ca...