IEICE TRANSACTIONS on Fundamentals
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Improvement of Final Exponentiation for Pairings on BLS Curves with Embedding Degree 15
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Summary :
To be suitable in practice, pairings are typically carried out by two steps, which consist of the Miller loop and final exponentiation. To improve the final exponentiation step of a pairing on the BLS family of pairing-friendly elliptic curves with embedding degree 15, the authors provide a new representation of the exponent. The proposal can achieve a more reduction of the calculation cost of the final exponentiation than the previous method by Fouotsa et al.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.1 pp.315-318
- Publication Date
- 2021/01/01
- Publicized
- 2020/07/17
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020EAL2046
- Type of Manuscript
- LETTER
- Category
- Cryptography and Information Security
Authors
Yuki NANJO
Okayama University
Masaaki SHIRASE
Future University Hakodate
Takuya KUSAKA
Okayama University
Yasuyuki NOGAMI
Okayama University
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Yuki NANJO, Masaaki SHIRASE, Takuya KUSAKA, Yasuyuki NOGAMI, "Improvement of Final Exponentiation for Pairings on BLS Curves with Embedding Degree 15" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 1, pp. 315-318, January 2021, doi: 10.1587/transfun.2020EAL2046.
Abstract: To be suitable in practice, pairings are typically carried out by two steps, which consist of the Miller loop and final exponentiation. To improve the final exponentiation step of a pairing on the BLS family of pairing-friendly elliptic curves with embedding degree 15, the authors provide a new representation of the exponent. The proposal can achieve a more reduction of the calculation cost of the final exponentiation than the previous method by Fouotsa et al.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAL2046/_p
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@ARTICLE{e104-a_1_315,
author={Yuki NANJO, Masaaki SHIRASE, Takuya KUSAKA, Yasuyuki NOGAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Improvement of Final Exponentiation for Pairings on BLS Curves with Embedding Degree 15},
year={2021},
volume={E104-A},
number={1},
pages={315-318},
abstract={To be suitable in practice, pairings are typically carried out by two steps, which consist of the Miller loop and final exponentiation. To improve the final exponentiation step of a pairing on the BLS family of pairing-friendly elliptic curves with embedding degree 15, the authors provide a new representation of the exponent. The proposal can achieve a more reduction of the calculation cost of the final exponentiation than the previous method by Fouotsa et al.},
keywords={},
doi={10.1587/transfun.2020EAL2046},
ISSN={1745-1337},
month={January},}
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TY - JOUR
TI - Improvement of Final Exponentiation for Pairings on BLS Curves with Embedding Degree 15
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 315
EP - 318
AU - Yuki NANJO
AU - Masaaki SHIRASE
AU - Takuya KUSAKA
AU - Yasuyuki NOGAMI
PY - 2021
DO - 10.1587/transfun.2020EAL2046
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2021
AB - To be suitable in practice, pairings are typically carried out by two steps, which consist of the Miller loop and final exponentiation. To improve the final exponentiation step of a pairing on the BLS family of pairing-friendly elliptic curves with embedding degree 15, the authors provide a new representation of the exponent. The proposal can achieve a more reduction of the calculation cost of the final exponentiation than the previous method by Fouotsa et al.
ER -
English
