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Generating more Kawazoe-Takahashi Genus 2 Pairing-friendly Hyperelliptic Curves
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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 $2 <\rho \le 3$. |
BibTeX
@misc{eprint-2010-23245, title={Generating more Kawazoe-Takahashi Genus 2 Pairing-friendly Hyperelliptic Curves}, booktitle={IACR Eprint archive}, keywords={pairing-friendly curves, hyperelliptic curves, pairings}, url={http://eprint.iacr.org/2010/344}, note={ ezekiel@live.ie 14841 received 15 Jun 2010, last revised 20 Aug 2010}, author={Ezekiel J Kachisa}, year=2010 }