Welcome to the resource topic for 2006/026
Title:
Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10
Authors: David Freeman
Abstract:We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree. We demonstrate this method by constructing curves with embedding degree k = 10, which solves an open problem posed by Boneh, Lynn, and Shacham. We show that our framework incorporates existing constructions for k = 3, 4, 6, and 12, and we give evidence that the method is unlikely to produce infinite families of curves with embedding degree k > 12.
ePrint: https://eprint.iacr.org/2006/026
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