A Weil Pairing on a Family of Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms
Summary :
In this paper, we provided a new variant of Weil pairing on a family of genus 2 curves with the efficiently computable automorphism. Our pairing can be considered as a generalization of the omega pairing given by Zhao et al. We also report the algebraic cost estimation of our pairing. We then show that our pairing is more efficient than the variant of Tate pairing with the automorphism given by Fan et al. Furthermore, we show that our pairing is slightly better than the twisted Ate pairing on Kawazoe-Takahashi curve at the 192-bit security level.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.1 pp.62-72
- Publication Date
- 2017/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.62
- Type of Manuscript
- Special Section PAPER (Special Section on Cryptography and Information Security)
- Category
Authors
Masahiro ISHII
Tokyo Institute of Technology
Atsuo INOMATA
Tokyo Denki University
Kazutoshi FUJIKAWA
Information Initiative Center, Nara Institute of Science and Technology
Keyword
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Masahiro ISHII, Atsuo INOMATA, Kazutoshi FUJIKAWA, "A Weil Pairing on a Family of Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 1, pp. 62-72, January 2017, doi: 10.1587/transfun.E100.A.62.
Abstract: In this paper, we provided a new variant of Weil pairing on a family of genus 2 curves with the efficiently computable automorphism. Our pairing can be considered as a generalization of the omega pairing given by Zhao et al. We also report the algebraic cost estimation of our pairing. We then show that our pairing is more efficient than the variant of Tate pairing with the automorphism given by Fan et al. Furthermore, we show that our pairing is slightly better than the twisted Ate pairing on Kawazoe-Takahashi curve at the 192-bit security level.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.62/_p
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@ARTICLE{e100-a_1_62,
author={Masahiro ISHII, Atsuo INOMATA, Kazutoshi FUJIKAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Weil Pairing on a Family of Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms},
year={2017},
volume={E100-A},
number={1},
pages={62-72},
abstract={In this paper, we provided a new variant of Weil pairing on a family of genus 2 curves with the efficiently computable automorphism. Our pairing can be considered as a generalization of the omega pairing given by Zhao et al. We also report the algebraic cost estimation of our pairing. We then show that our pairing is more efficient than the variant of Tate pairing with the automorphism given by Fan et al. Furthermore, we show that our pairing is slightly better than the twisted Ate pairing on Kawazoe-Takahashi curve at the 192-bit security level.},
keywords={},
doi={10.1587/transfun.E100.A.62},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - A Weil Pairing on a Family of Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 62
EP - 72
AU - Masahiro ISHII
AU - Atsuo INOMATA
AU - Kazutoshi FUJIKAWA
PY - 2017
DO - 10.1587/transfun.E100.A.62
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2017
AB - In this paper, we provided a new variant of Weil pairing on a family of genus 2 curves with the efficiently computable automorphism. Our pairing can be considered as a generalization of the omega pairing given by Zhao et al. We also report the algebraic cost estimation of our pairing. We then show that our pairing is more efficient than the variant of Tate pairing with the automorphism given by Fan et al. Furthermore, we show that our pairing is slightly better than the twisted Ate pairing on Kawazoe-Takahashi curve at the 192-bit security level.
ER -
English
