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Extension of Efficient Ate Pairing and its Fastest Implementation

Research Project

Project/Area Number 20760241
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Communication/Network engineering
Research InstitutionOkayama University

Principal Investigator

NOGAMI Yasuyuki  Okayama University, 大学院・自然科学研究科, 准教授 (60314655)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords応用数学 / 情報通信工学 / セキュア・ネットワーク / 代数学 / 楕円曲線暗号 / ペアリング暗号応用 / ペアリング曲線 / Ateペアリング / 高速実装 / ペアリング / 非超特異ペアリングフレンドリ曲線 / 拡大体 / 匿名認証
Research Abstract

In the modern information oriented society, the demand of security technologies has become much more complicated and advanced. Especially, anonymous authentication with pairing operation has received much attention. In order to make its performance practical, an efficient pairing so called Xate pairing has been proposed. The main purpose of this research is to increase the number of Xate pairing curves and then develops an efficient implementation of those Xate pairings.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (11 results)

All 2010 2009 2008 Other

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (7 results) Remarks (3 results)

  • [Journal Article] Ultimately Customized Multiplication Algorithm in the Extension Field for Xate and R-ate Pairing with Freeman Curve2010

    • Author(s)
      Kenta Nekado, Yasuyuki Nogami, Yoshitaka Norikawa
    • Journal Title

      Proc.Of Tencon 2010

      Volume: (CD-ROM)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Type<k,4>GNBを用いた2次逐次拡大体F_{{p^2}^2}の構成とその効率的な乗算の実装2010

    • Author(s)
      湯浅達也, 根角健太, 野上保之,森川良孝
    • Organizer
      第33回情報理論とその応用シンポジウム(SITA2010)
    • Year and Date
      2010-12-02
    • Related Report
      2010 Final Research Report
  • [Presentation] Ultimately Customized Multiplication Algorithm in the Extension Field for Xate and R-ate Pairing with Freeman Curve2010

    • Author(s)
      根角健太, 野上保之, 森川良孝
    • Organizer
      IEEE TENCON2010(T4-3.3)
    • Place of Presentation
      CD-ROM
    • Year and Date
      2010-11-23
    • Related Report
      2010 Final Research Report
  • [Presentation] Thread Computing for Miller's Algorithm of Pairing Especially with Composite Order Pairing-Friendly Curves2010

    • Author(s)
      竹内翔一, 酒見由美, 加藤英洋, 野上保之, 森川良孝
    • Organizer
      2010年暗号と情報セキュリティシンポジウム(SCIS2010)
    • Year and Date
      2010-01-20
    • Related Report
      2010 Final Research Report
  • [Presentation] Thread Computing for Miller's Algorithm of Pairing Especially with Composite Order Pairing-Friendly Curves2010

    • Author(s)
      竹内翔一、酒見由美、加藤英洋、野上保之、森川良孝
    • Organizer
      暗号と情報セキュリティシンポジウム(SCIS 2010)
    • Place of Presentation
      高松
    • Year and Date
      2010-01-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] Freeman曲線を用いたXateおよびR-ateペアリングのための定義体における乗算アルゴリズム2009

    • Author(s)
      根角健太, 湯浅達也, 野上保之, 森川良孝
    • Organizer
      コンピュータセキュリティシンポジウム 2009
    • Year and Date
      2009-10-26
    • Related Report
      2010 Final Research Report
  • [Presentation] Freeman曲線を用いたXateおよびR-ateペアリングのための定義体における乗算アルゴリズム2009

    • Author(s)
      根角健太、湯浅達也、野上保之、森川良孝
    • Organizer
      コンピュータセキュリティシンポジウム2009(CSS2009)
    • Place of Presentation
      富山
    • Year and Date
      2009-10-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] 整数変数Xを用いて改良したクロスツイストAteペアリング2008

    • Author(s)
      酒見由美, 加藤英洋, 野上保之, 森川良孝
    • Organizer
      コンピュータセキュリティシンポジウム2008
    • Place of Presentation
      沖縄
    • Year and Date
      2008-10-08
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ(研究成果の紹介)

    • URL

      http://www.trans.cne.okayama-u.ac.jp/~nogami

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.trans.cne.okavama-u.ac.jp/~nogami/jp_new_index.html

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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