Presentation 2012-07-20
Efficient elliptic curve scalar multiplication using an elliptic net algorithm
Naoki KANAYAMA, Yang LIU, Eiji OKAMOTO, Kazutaka SAITO, Tadanori TERUYA, Shigenori UCHIYAMA,
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Abstract(in English) In the present paper, we propose an efficient elliptic curve scalar multiplication method using elliptic net algorithm. Elliptic net algorithm is proposed by Stange, and used to compute cryptographic pairings on elliptic curves. We estimate running time of the proposed method and compare with other scalar multiplication methods. According to our experimental results, the proposed method is faster than binary method and NAF method in affine coordinate system.
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Keyword(in English) elliptic curve / division polynomial / scalar multiplication / elliptic net
Paper # ISEC2012-37,SITE2012-33,ICSS2012-39,EMM2012-29
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Committee ICSS
Conference Date 2012/7/12(1days)
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Registration To Information and Communication System Security (ICSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Efficient elliptic curve scalar multiplication using an elliptic net algorithm
Sub Title (in English)
Keyword(1) elliptic curve
Keyword(2) division polynomial
Keyword(3) scalar multiplication
Keyword(4) elliptic net
1st Author's Name Naoki KANAYAMA
1st Author's Affiliation Graduate School of Systems and Information Engineering, University of Tsukuba()
2nd Author's Name Yang LIU
2nd Author's Affiliation Graduate School of Systems and Information Engineering, University of Tsukuba
3rd Author's Name Eiji OKAMOTO
3rd Author's Affiliation Graduate School of Systems and Information Engineering, University of Tsukuba
4th Author's Name Kazutaka SAITO
4th Author's Affiliation Graduate School of Systems and Information Engineering, University of Tsukuba
5th Author's Name Tadanori TERUYA
5th Author's Affiliation Graduate School of Systems and Information Engineering, University of Tsukuba
6th Author's Name Shigenori UCHIYAMA
6th Author's Affiliation Graduate School of Science and Engineering, Tokyo Metropolitan University
Date 2012-07-20
Paper # ISEC2012-37,SITE2012-33,ICSS2012-39,EMM2012-29
Volume (vol) vol.112
Number (no) 128
Page pp.pp.-
#Pages 6
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