More Discriminants with the Brezing-Weng Method

Mathematics – Number Theory

Scientific paper

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Scientific paper

The Brezing-Weng method is a general framework to generate families of
pairing-friendly elliptic curves. Here, we introduce an improvement which can
be used to generate more curves with larger discriminants. Apart from the
number of curves this yields, it provides an easy way to avoid endomorphism
rings with small class number.

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