Presentation 2010-07-02
On the proportion of the curves constructed by Brezing-Weng in the pairing-friendly curves
Takanori YASUDA, Masaya YASUDA, Takeshi SHIMOYAMA, Jun KOGURE,
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Abstract(in English) The Brezing-Weng curves are a kind of pairing-friendly curves. In this paper, we investigate the proportion of the Brezing-Weng curves with a maximal cyclic subgroup of at most 160 bit prime order in the all pairing-friendly curves with the same condition. The number of the all pairing-friendly curves is given by the experiment and theoretical expectation.
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Keyword(in English) Pairing-based cryptsystems / Pairing-friendly curve / Brezing-Weng curve
Paper # ISEC2010-34,SITE2010-30,ICSS2010-40
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Committee ICSS
Conference Date 2010/6/24(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On the proportion of the curves constructed by Brezing-Weng in the pairing-friendly curves
Sub Title (in English)
Keyword(1) Pairing-based cryptsystems
Keyword(2) Pairing-friendly curve
Keyword(3) Brezing-Weng curve
1st Author's Name Takanori YASUDA
1st Author's Affiliation Faculty of Mathematics, Kyshu University()
2nd Author's Name Masaya YASUDA
2nd Author's Affiliation FUJITSU LABORATORIES LTD.
3rd Author's Name Takeshi SHIMOYAMA
3rd Author's Affiliation FUJITSU LABORATORIES LTD.
4th Author's Name Jun KOGURE
4th Author's Affiliation FUJITSU LABORATORIES LTD.
Date 2010-07-02
Paper # ISEC2010-34,SITE2010-30,ICSS2010-40
Volume (vol) vol.110
Number (no) 115
Page pp.pp.-
#Pages 7
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