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

doi:10.1109/ICCE-China.2018.8448573

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

School of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	2018 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Print)	9781538663011
DOIs	https://doi.org/10.1109/ICCE-China.2018.8448573
Publication status	Published - Aug 27 2018
Event	5th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018 - Taichung, Taiwan, Province of China Duration: May 19 2018 → May 21 2018

Other

Other	5th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2018
Country/Territory	Taiwan, Province of China
City	Taichung
Period	5/19/18 → 5/21/18

ASJC Scopus subject areas

Biomedical Engineering
Electrical and Electronic Engineering
Instrumentation

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10.1109/ICCE-China.2018.8448573

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 Article 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 et al.
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 proceeding › Conference 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

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author = "Xin Li and Yuta Kodera and Yoshinori Uetake and Takuya Kusaka and Yasuyuki Nogami",

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

Abstract

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