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Pairing computation on curves with efficiently computable endomorphism and small embedding degree
elliptic curves pairings isogenies
2010/7/14
Scott uses an efficiently computable isomorphism in order to optimize pairing computation on a particular class of curves with embedding degree 2. He pointed out that pairing implementation becomes th...
Ordinary abelian varieties having small embedding degree
Ordinary abelian varieties small embedding degree MNT
2009/4/3
Miyaji, Nakabayashi and Takano (MNT) gave families of
group orders of ordinary elliptic curves with embedding degree suitable
for pairing applications. In this paper we generalise their results by g...
Families of genus 2 curves with small embedding degree
embedding degree genus 2 hyperelliptic curves binary curves pairing-based cryptography
2008/9/22
Hyperelliptic curves of small genus have the advantage of providing a
group of comparable size as that of elliptic curves, while working over a field of smaller
size. Pairing-friendly hyperelliptic ...