A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography

Xin Li, Yuta Kodera, Yoshinori Uetake, Takuya Kusaka, Yasuyuki Nogami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents an efficient arithmetic in extension field based on Cyclic Vector Multiplication Algorithm that reduces calculation costs over cubic extension for elliptic curve pairing cryptography. In addition, we evaluate the calculation costs compared to Karatsuba-based method.

Original languageEnglish
Title of host publication2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)9781538663011
DOIs
Publication statusPublished - Aug 27 2018
Event5th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018 - Taichung, Taiwan, Province of China
Duration: May 19 2018May 21 2018

Other

Other5th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018
CountryTaiwan, Province of China
CityTaichung
Period5/19/185/21/18

Fingerprint

cryptography
Cryptography
costs
curves
multiplication
Costs

ASJC Scopus subject areas

  • Biomedical Engineering
  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

Li, X., Kodera, Y., Uetake, Y., Kusaka, T., & Nogami, Y. (2018). A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography. In 2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018 [8448573] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCE-China.2018.8448573

A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography. / Li, Xin; Kodera, Yuta; Uetake, Yoshinori; Kusaka, Takuya; Nogami, Yasuyuki.

2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018. Institute of Electrical and Electronics Engineers Inc., 2018. 8448573.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Li, X, Kodera, Y, Uetake, Y, Kusaka, T & Nogami, Y 2018, A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography. in 2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018., 8448573, Institute of Electrical and Electronics Engineers Inc., 5th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018, Taichung, Taiwan, Province of China, 5/19/18. https://doi.org/10.1109/ICCE-China.2018.8448573
Li X, Kodera Y, Uetake Y, Kusaka T, Nogami Y. A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography. In 2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018. Institute of Electrical and Electronics Engineers Inc. 2018. 8448573 https://doi.org/10.1109/ICCE-China.2018.8448573
Li, Xin ; Kodera, Yuta ; Uetake, Yoshinori ; Kusaka, Takuya ; Nogami, Yasuyuki. / A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography. 2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018. Institute of Electrical and Electronics Engineers Inc., 2018.
@inproceedings{11bc9535d2ad4475be90800eee7e7fb3,
title = "A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography",
abstract = "This paper presents an efficient arithmetic in extension field based on Cyclic Vector Multiplication Algorithm that reduces calculation costs over cubic extension for elliptic curve pairing cryptography. In addition, we evaluate the calculation costs compared to Karatsuba-based method.",
author = "Xin Li and Yuta Kodera and Yoshinori Uetake and Takuya Kusaka and Yasuyuki Nogami",
year = "2018",
month = "8",
day = "27",
doi = "10.1109/ICCE-China.2018.8448573",
language = "English",
isbn = "9781538663011",
booktitle = "2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - GEN

T1 - A Consideration of an Efficient Arithmetic over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography

AU - Li, Xin

AU - Kodera, Yuta

AU - Uetake, Yoshinori

AU - Kusaka, Takuya

AU - Nogami, Yasuyuki

PY - 2018/8/27

Y1 - 2018/8/27

N2 - This paper presents an efficient arithmetic in extension field based on Cyclic Vector Multiplication Algorithm that reduces calculation costs over cubic extension for elliptic curve pairing cryptography. In addition, we evaluate the calculation costs compared to Karatsuba-based method.

AB - This paper presents an efficient arithmetic in extension field based on Cyclic Vector Multiplication Algorithm that reduces calculation costs over cubic extension for elliptic curve pairing cryptography. In addition, we evaluate the calculation costs compared to Karatsuba-based method.

UR - http://www.scopus.com/inward/record.url?scp=85053930003&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053930003&partnerID=8YFLogxK

U2 - 10.1109/ICCE-China.2018.8448573

DO - 10.1109/ICCE-China.2018.8448573

M3 - Conference contribution

AN - SCOPUS:85053930003

SN - 9781538663011

BT - 2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018

PB - Institute of Electrical and Electronics Engineers Inc.

ER -