Generating more Kawazoe-Takahashi Genus 2 Pairing-friendly Hyperelliptic Curves.

Ezekiel J Kachisa

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 $2 <\rho \le 3$.

Note: Ps file not available

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Unknown where it was published
Keywords: pairing-friendly curves hyperelliptic curves pairings
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

BibTeX

@misc{cryptoeprint:2010/344,
      author = {Ezekiel J Kachisa},
      title = {Generating more Kawazoe-Takahashi Genus 2 Pairing-friendly Hyperelliptic Curves.},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/344},
      year = {2010},
      url = {https://eprint.iacr.org/2010/344}
}