Faster Final Exponentiation on the KSS18 Curve

Shi Ping CAI; Zhi HU; Chang An ZHAO

doi:10.1587/transfun.2021EAL2086

Faster Final Exponentiation on the KSS18 Curve

Shi Ping CAI, Zhi HU, Chang An ZHAO

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Summary :

The final exponentiation affects the efficiency of pairing computations especially on pairing-friendly curves with high embedding degree. We propose an efficient method for computing the hard part of the final exponentiation on the KSS18 curve at the 192-bit security level. Implementations indicate that the computation of the final exponentiation is 8.74% faster than the previously fastest result.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.8 pp.1162-1164

Publication Date: 2022/08/01

Publicized: 2022/02/22

Online ISSN: 1745-1337

DOI: 10.1587/transfun.2021EAL2086

Type of Manuscript: LETTER

Category: Cryptography and Information Security

Authors

Shi Ping CAI
  Sun Yat-sen University
Zhi HU
  Central South University
Chang An ZHAO
  Sun Yat-sen University,the Guangdong Key Laboratory of Information Security

Keyword

final exponentiation, pairings, KSS curves, high security levels

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Shi Ping CAI, Zhi HU, Chang An ZHAO, "Faster Final Exponentiation on the KSS18 Curve" in IEICE TRANSACTIONS on Fundamentals, vol. E105-A, no. 8, pp. 1162-1164, August 2022, doi: 10.1587/transfun.2021EAL2086.
Abstract: The final exponentiation affects the efficiency of pairing computations especially on pairing-friendly curves with high embedding degree. We propose an efficient method for computing the hard part of the final exponentiation on the KSS18 curve at the 192-bit security level. Implementations indicate that the computation of the final exponentiation is 8.74% faster than the previously fastest result.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAL2086/_p

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@ARTICLE{e105-a_8_1162,
author={Shi Ping CAI, Zhi HU, Chang An ZHAO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Faster Final Exponentiation on the KSS18 Curve},
year={2022},
volume={E105-A},
number={8},
pages={1162-1164},
abstract={The final exponentiation affects the efficiency of pairing computations especially on pairing-friendly curves with high embedding degree. We propose an efficient method for computing the hard part of the final exponentiation on the KSS18 curve at the 192-bit security level. Implementations indicate that the computation of the final exponentiation is 8.74% faster than the previously fastest result.},
keywords={},
doi={10.1587/transfun.2021EAL2086},
ISSN={1745-1337},
month={August},}

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TY - JOUR
TI - Faster Final Exponentiation on the KSS18 Curve
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1162
EP - 1164
AU - Shi Ping CAI
AU - Zhi HU
AU - Chang An ZHAO
PY - 2022
DO - 10.1587/transfun.2021EAL2086
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2022
AB - The final exponentiation affects the efficiency of pairing computations especially on pairing-friendly curves with high embedding degree. We propose an efficient method for computing the hard part of the final exponentiation on the KSS18 curve at the 192-bit security level. Implementations indicate that the computation of the final exponentiation is 8.74% faster than the previously fastest result.
ER -