An improvement of scalar multiplication on elliptic curve defined over extension field Fq2

Khandaker Md Al-Amin; Yasuyuki Nogami

doi:10.1109/ICCE-TW.2016.7520894

An improvement of scalar multiplication on elliptic curve defined over extension field Fq²

Khandaker Md Al-Amin, Yasuyuki Nogami

School of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In elliptic curve cryptography (ECC), a scalar multiplication for rational point is the most time consuming operation. This paper proposes an efficient calculation for a scalar multiplication by applying Frobenious Mapping. Particularly, this paper deals with Barreto-Naehrig curve defined over extension field Fq², where q = p⁶ and p is a large prime.

Original language	English
Title of host publication	2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509020737
DOIs	https://doi.org/10.1109/ICCE-TW.2016.7520894
Publication status	Published - Jul 25 2016
Event	3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016 - Nantou County, Taiwan, Province of China Duration: May 27 2016 → May 30 2016

Publication series

Name	2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016

Other

Other	3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016
Country/Territory	Taiwan, Province of China
City	Nantou County
Period	5/27/16 → 5/30/16

ASJC Scopus subject areas

Computer Science Applications
Electrical and Electronic Engineering
Media Technology
Computer Networks and Communications
Signal Processing

Access to Document

10.1109/ICCE-TW.2016.7520894

Cite this

Al-Amin, K. M., & Nogami, Y. (2016). An improvement of scalar multiplication on elliptic curve defined over extension field Fq². In 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016 Article 7520894 (2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCE-TW.2016.7520894

An improvement of scalar multiplication on elliptic curve defined over extension field Fq². / Al-Amin, Khandaker Md; Nogami, Yasuyuki.
2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7520894 (2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Al-Amin, KM & Nogami, Y 2016, An improvement of scalar multiplication on elliptic curve defined over extension field Fq². in 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016., 7520894, 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016, Institute of Electrical and Electronics Engineers Inc., 3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016, Nantou County, Taiwan, Province of China, 5/27/16. https://doi.org/10.1109/ICCE-TW.2016.7520894

Al-Amin KM, Nogami Y. An improvement of scalar multiplication on elliptic curve defined over extension field Fq². In 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016. Institute of Electrical and Electronics Engineers Inc. 2016. 7520894. (2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016). doi: 10.1109/ICCE-TW.2016.7520894

@inproceedings{64fa07314163460eb52dcc79ead1853f,

title = "An improvement of scalar multiplication on elliptic curve defined over extension field Fq2",

abstract = "In elliptic curve cryptography (ECC), a scalar multiplication for rational point is the most time consuming operation. This paper proposes an efficient calculation for a scalar multiplication by applying Frobenious Mapping. Particularly, this paper deals with Barreto-Naehrig curve defined over extension field Fq2, where q = p6 and p is a large prime.",

author = "Al-Amin, {Khandaker Md} and Yasuyuki Nogami",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016 ; Conference date: 27-05-2016 Through 30-05-2016",

year = "2016",

month = jul,

day = "25",

doi = "10.1109/ICCE-TW.2016.7520894",

language = "English",

series = "2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016",

}

TY - GEN

T1 - An improvement of scalar multiplication on elliptic curve defined over extension field Fq2

AU - Al-Amin, Khandaker Md

AU - Nogami, Yasuyuki

PY - 2016/7/25

Y1 - 2016/7/25

N2 - In elliptic curve cryptography (ECC), a scalar multiplication for rational point is the most time consuming operation. This paper proposes an efficient calculation for a scalar multiplication by applying Frobenious Mapping. Particularly, this paper deals with Barreto-Naehrig curve defined over extension field Fq2, where q = p6 and p is a large prime.

AB - In elliptic curve cryptography (ECC), a scalar multiplication for rational point is the most time consuming operation. This paper proposes an efficient calculation for a scalar multiplication by applying Frobenious Mapping. Particularly, this paper deals with Barreto-Naehrig curve defined over extension field Fq2, where q = p6 and p is a large prime.

UR - http://www.scopus.com/inward/record.url?scp=84983514110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84983514110&partnerID=8YFLogxK

U2 - 10.1109/ICCE-TW.2016.7520894

DO - 10.1109/ICCE-TW.2016.7520894

M3 - Conference contribution

AN - SCOPUS:84983514110

T3 - 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016

BT - 2016 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 3rd IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2016

Y2 - 27 May 2016 through 30 May 2016

ER -