Abstract
A new algorithm is proposed for the construction of Brezing- Weng-like elliptic curves such that polynomials defining the CM discrim- inant are linear. Using this construction, new families of curves with variable discriminants and embedding degrees of k∈{8, 16, 20, 24}, which were not covered by Freeman, Scott, and Teske [9], are presented. Our result is useful for constructing elliptic curves with larger and more exible discriminants.
| Original language | English |
|---|---|
| Pages (from-to) | 75-88 |
| Number of pages | 14 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2012 |
Keywords
- CM discriminant
- Elliptic curves
- Pairing-friendly curves
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