Presentation 2014-11-27
Efficient Computation of Weil Pairing over Supersingular Elliptic Curve and Its Evaluation
Kazuma TANAKA, Tadanori TERUYA, Naoki KANAYAMA, Takashi NISHIDE, Eiji OKAMOTO,
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Abstract(in English) In SCIS 2014, the authors considered efficiency of computing symmetric parings on supersingular elliptic curves over finite fields of large characteristic and proposed an improved Weil pairing on elliptic curves of a certain type. In this paper, we estimate the number of arithmetics and we show the proposed Weil pairing can be computed faster than Tate pairing in some cases. Then we give an example of boundary point in which the proposed Weil pairing is faster.
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Keyword(in English) elliptic curves / miller's algorithm / Weil pairing / Tate pairing
Paper # ICSS2014-56
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Committee ICSS
Conference Date 2014/11/20(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 Computation of Weil Pairing over Supersingular Elliptic Curve and Its Evaluation
Sub Title (in English)
Keyword(1) elliptic curves
Keyword(2) miller's algorithm
Keyword(3) Weil pairing
Keyword(4) Tate pairing
1st Author's Name Kazuma TANAKA
1st Author's Affiliation Graduate School of Systems and Information Engineering, University of Tsukuba()
2nd Author's Name Tadanori TERUYA
2nd Author's Affiliation Research Institute for Secure Systems, National Institute of Advanced Industrial Science and Technology
3rd Author's Name Naoki KANAYAMA
3rd Author's Affiliation Faculty of Engineering, Information and Systems, University of Tsukuba
4th Author's Name Takashi NISHIDE
4th Author's Affiliation Faculty of Engineering, Information and Systems, University of Tsukuba
5th Author's Name Eiji OKAMOTO
5th Author's Affiliation Faculty of Engineering, Information and Systems, University of Tsukuba
Date 2014-11-27
Paper # ICSS2014-56
Volume (vol) vol.114
Number (no) 340
Page pp.pp.-
#Pages 6
Date of Issue