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Title:
Generating more Kawazoe-Takahashi Genus 2 Pairing-friendly Hyperelliptic Curves.
Authors: Ezekiel J Kachisa
Abstract:Constructing pairing-friendly hyperelliptic curves with small \rho-values is one of challenges for practicability of pairing-friendly hyperelliptic curves. In this paper, we describe a method that extends the Kawazoe-Takahashi method of generating families of genus 2 ordinary pairing-friendly hyperelliptic curves by parameterizing the parameters as polynomials. With this approach we construct genus 2 ordinary pairing-friendly hyperelliptic curves with 2 <\rho \le 3.
ePrint: https://eprint.iacr.org/2010/344
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