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Authors: Masahiro Ishii ; Atsuo Inomata and Kazutoshi Fujikawa

Affiliation: Nara Institute of Science and Technology, Japan

Keyword(s): Twisted Ate Pairings, Optimal Pairings, Hyperelliptic Curves, Final Exponentiation.

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.

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Paper citation in several formats:
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 - ICISSP; ISBN 978-989-758-167-0; ISSN 2184-4356, SciTePress, pages 432-439. DOI: 10.5220/0005742304320439

@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 - ICISSP},
year={2016},
pages={432-439},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005742304320439},
isbn={978-989-758-167-0},
issn={2184-4356},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Information Systems Security and Privacy - 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
IS - 2184-4356
AU - Ishii, M.
AU - Inomata, A.
AU - Fujikawa, K.
PY - 2016
SP - 432
EP - 439
DO - 10.5220/0005742304320439
PB - SciTePress

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