A Construction of a Twisted Ate Pairing on a Family of Kawazoe-Takahashi Curves at 192-bit Security Level and Its Cost Estimate

Masahiro Ishii, Atsuo Inomata, Kazutoshi Fujikawa

2016

Abstract

Recently, there were major breakthroughs in computing DL in finite fields of small characteristics, as a result the symmetric pairings which is defined by using such finite fields became unsuitable for cryptography. This research aims to reveal a more efficient construction of pairings on hyperelliptic curves of genus 2, in the beginning, we focus on the ordinary genus 2 curves and the optimal pairing algorithms at high (192-bit) security level on such curves. In this paper, we show the method to construct optimal pairings over the family of pairing-friendly curves of genus 2 by Kawazoe and Takahashi and offered a twisted version of Ate pairing. We then provide the cost estimates to compare with the result of the pairings on elliptic curve at same security level.

Paper Citation

in Harvard Style

Ishii M., Inomata A. and Fujikawa K. (2016). A Construction of a Twisted Ate Pairing on a Family of Kawazoe-Takahashi Curves at 192-bit Security Level and Its Cost Estimate . In Proceedings of the 2nd International Conference on Information Systems Security and Privacy - Volume 1: ICISSP, ISBN 978-989-758-167-0, pages 432-439. DOI: 10.5220/0005742304320439

in Bibtex Style

@conference{icissp16,
author={Masahiro Ishii and Atsuo Inomata and Kazutoshi Fujikawa},
title={A Construction of a Twisted Ate Pairing on a Family of Kawazoe-Takahashi Curves at 192-bit Security Level and Its Cost Estimate},
booktitle={Proceedings of the 2nd International Conference on Information Systems Security and Privacy - Volume 1: ICISSP,},
year={2016},
pages={432-439},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005742304320439},
isbn={978-989-758-167-0},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 2nd International Conference on Information Systems Security and Privacy - Volume 1: ICISSP,
TI - A Construction of a Twisted Ate Pairing on a Family of Kawazoe-Takahashi Curves at 192-bit Security Level and Its Cost Estimate
SN - 978-989-758-167-0
AU - Ishii M.
AU - Inomata A.
AU - Fujikawa K.
PY - 2016
SP - 432
EP - 439
DO - 10.5220/0005742304320439