Welcome to the resource topic for 2007/452
Title:
Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field
Authors: Ezekiel J. Kachisa, Edward F. Schaefer, Michael Scott
Abstract:We describe a new method for constructing Brezing-Weng-like pairing-friendly elliptic curves. The new construction uses the minimal polynomials of elements in a cyclotomic field. Using this new construction we present new ``record breaking’’ families of pairing-friendly curves with embedding degrees of k \in \{16,18,36,40\}, and some interesting new constructions for the cases k \in \{8,32\}
ePrint: https://eprint.iacr.org/2007/452
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