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Paper 2010/344
Generating more Kawazoe-Takahashi Genus 2 Pairing-friendly Hyperelliptic Curves.
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 $2 <\rho \le 3$.
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Metadata
- Available format(s)
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- pairing-friendly curveshyperelliptic curvespairings
- Contact author(s)
- ezekiel @ live ie
- History
- 2010-10-03: last of 3 revisions
- 2010-06-18: received
- See all versions
- Short URL
- https://ia.cr/2010/344
- License
-
CC BY