TY - JOUR
T1 - Improvement of Final exponentiation for pairings on BLS curves with embedding degree 15
AU - Nanjo, Yuki
AU - Shirase, Masaaki
AU - Kusaka, Takuya
AU - Nogami, Yasuyuki
N1 - Funding Information:
This research was supported by JSPS KAKENHI Grant Numbers 19J2108612 and 19K11966.
Publisher Copyright:
Copyright © 2021 The Institute of Electronics, Information and Communication Engineers
PY - 2021/1/1
Y1 - 2021/1/1
N2 - 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.
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.
KW - BLS curves
KW - Final exponentiation
KW - Pairing-based cryptography
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U2 - 10.1587/transfun.2020EAL2046
DO - 10.1587/transfun.2020EAL2046
M3 - Article
AN - SCOPUS:85099205096
VL - 104
SP - 315
EP - 318
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
SN - 0916-8508
IS - 1
ER -