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Design and analysis of multivariate public key cryptosystems using non-commutative structure

Research Project

Project/Area Number 24740078
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionInstitute of Systems, Information Technologies and Nanotechnologies

Principal Investigator

YASUDA Takanori  公益財団法人九州先端科学技術研究所, その他部局等, 研究員 (00464602)

Co-Investigator(Renkei-kenkyūsha) TAKAGI Tsuyoshi  九州大学, マスフォアインダストリ研究所, 教授 (60404802)
SAKURAI Kouichi  九州大学, システム情報科学研究院, 教授 (60264066)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords公開鍵暗号 / ポスト量子暗号 / 多変数多項式公開鍵暗号
Outline of Final Research Achievements

Multivariate public key cryptosystems (MPKC) can resist attacks using quantum computer, and have efficient encryption and decryption. On the other hand, there is a problem that MPKC have huge key size. Therefore, I apply non-commutative rings to MPKC, which originally are designed using commutative rings and fields, and propose a method to reduce key size of MPKC. In comparison with the original scheme in MPKC, my scheme can reduce key size by about 80%. Moreover, I analyze its security and present how to select suitable parameters.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (24 results)

All 2015 2014 2013 2012 Other

All Journal Article (10 results) (of which Peer Reviewed: 8 results,  Open Access: 4 results,  Acknowledgement Compliant: 2 results) Presentation (11 results) (of which Invited: 1 results) Remarks (3 results)

  • [Journal Article] Efficient variant of Rainbow using sparse secret keys2014

    • Author(s)
      Takanori Yasuda, Tsuyoshi Takagi, and Kouichi Sakurai
    • Journal Title

      Journal of Wireless Mobile Networks, Ubiquitous Computing, and Dependable Applications

      Volume: 5 (3) Pages: 3-13

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Fast Evaluation of Multivariate Quadratic Polynomials over GF(2^32) using Grahpics Processing Units2014

    • Author(s)
      Satoshi Tanaka, Takanori Yasuda, and Kouichi Sakurai
    • Journal Title

      Journal of Internet Services and Information Security

      Volume: 4 (3) Pages: 1-20

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Efficient Variant of Rainbow without Triangular Matrix Representation2014

    • Author(s)
      Takanori Yasuda, Tsuyoshi Takagi, Kouichi Sakurai
    • Journal Title

      Springer Lecture Notes in Computer Sciences

      Volume: 8407 Pages: 532-541

    • DOI

      10.1007/978-3-642-55032-4_55

    • NAID

      110009625808

    • ISBN
      9783642550317, 9783642550324
    • Related Report
      2014 Annual Research Report 2013 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Parallelization of QUAD stream cipher using linear recurring sequences on graphics processing units2014

    • Author(s)
      Satoshi Tanaka, Chen-Mou Cheng, Takanori Yasuda, and Kouichi Sakurai
    • Journal Title

      The Second IEEE International Symposium on Computing and Networking

      Volume: 1 Pages: 543-548

    • DOI

      10.1109/candar.2014.85

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Security of Multivariate Signature Scheme Using Non-commutative Rings2014

    • Author(s)
      Takanori Yasuda, Tsuyoshi Takagi, Kouichi Sakurai
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E97.A Issue: 1 Pages: 245-252

    • DOI

      10.1587/transfun.E97.A.245

    • NAID

      130003385350

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multivariate Signature Scheme Using Quadratic Forms2013

    • Author(s)
      Takanori Yasuda, Tsuyoshi Takagi, Kouichi Sakurai
    • Journal Title

      Springer Lecture Notes in Computer Sciences

      Volume: 7932 Pages: 243-258

    • DOI

      10.1007/978-3-642-38616-9_17

    • ISBN
      9783642386152, 9783642386169
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A variant of rainbow with shorter secret key and faster signature generation2013

    • Author(s)
      Takanori Yasuda, Jintai Ding, Tsuyoshi Takagi, Kouichi Sakurai
    • Journal Title

      Proceedings of the first ACM workshop on Asia public-key cryptography

      Volume: ACM Digital Library Pages: 57-62

    • DOI

      10.1145/2484389.2484401

    • Related Report
      2013 Research-status Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Upper bound of the length of information embeded in RSA public key efficiently2013

    • Author(s)
      Motoki Kitahara, Takanori Yasuda, Takashi Nishide, and Kouichi Sakurai
    • Journal Title

      Proceedings of the first ACM workshop on Asia public-key cryptography

      Volume: ACM Digital Library Pages: 33-38

    • DOI

      10.1145/2484389.2484396

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 三角行列表示を用いない効率的なRainbow型電子署名方式2012

    • Author(s)
      安田貴徳,高木剛,櫻井幸一
    • Journal Title

      信学技報

      Volume: 112巻126号 Pages: 143-150

    • NAID

      110009625808

    • Related Report
      2012 Research-status Report
  • [Journal Article] 非可換環を用いた多変数多項式署名方式に対するランク攻撃に関する考察2012

    • Author(s)
      安田貴徳,高木剛,櫻井幸一
    • Journal Title

      コンピュータセキュリティシンポジウム2012論文集

      Volume: 2012(3) Pages: 477-484

    • NAID

      170000072724

    • Related Report
      2012 Research-status Report
  • [Presentation] MQチャレンジ ~多変数多項式暗号の安全性評価~2015

    • Author(s)
      Takanori Yasuda, Xavier Dahan, Yun-Ju Huang, Tsuyoshi Takagi, and Kouichi Sakurai
    • Organizer
      応用数理学会2015年研究部会連合発表会
    • Place of Presentation
      中央大学
    • Year and Date
      2015-03-06
    • Related Report
      2014 Annual Research Report
  • [Presentation] PQCrypto 2014参加報告2015

    • Author(s)
      安田貴徳
    • Organizer
      第32回情報とセキュリティシンポジウム
    • Place of Presentation
      北九州市
    • Year and Date
      2015-01-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] MQ Challenge: Hardness Evaluation of Solving Multivariate Quadratic Problems2015

    • Author(s)
      Takanori Yasuda, Xavier Dahan, Yun-Ju Huang, Tsuyoshi Takagi, and Kouichi Sakurai
    • Organizer
      第32回情報とセキュリティシンポジウム
    • Place of Presentation
      北九州市
    • Year and Date
      2015-01-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] Multivariate Quadratic Challenge2014

    • Author(s)
      Takanori Yasuda, Xavier Dahan, Yun-Ju Huang, Tsuyoshi Takagi, and Kouichi Sakurai
    • Organizer
      ETSI 2nd Quantum Safe Workshop
    • Place of Presentation
      Ottawa, Canada
    • Year and Date
      2014-10-06
    • Related Report
      2014 Annual Research Report
  • [Presentation] 疎な秘密鍵を用いた多変数多項式署名方式2014

    • Author(s)
      安田貴徳, 高木剛, 櫻井幸一
    • Organizer
      日本応用数理学会2014年度年会JANT オーガナイズド・セッション「数論アルゴリズムとその応用」
    • Place of Presentation
      政策研究大学院大学
    • Year and Date
      2014-09-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] 固定された係数を持つペアリングフレンドリ曲線2014

    • Author(s)
      安田貴徳
    • Organizer
      2014年暗号と情報セキュリティシンポジウム
    • Place of Presentation
      鹿児島市城山観光ホテル
    • Related Report
      2013 Research-status Report
  • [Presentation] 多変数多項式暗号の動向2013

    • Author(s)
      安田貴徳
    • Organizer
      2013年ソサイエティ大会
    • Place of Presentation
      福岡工業大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 楕円曲線の効率的モデルのAte系ペアリングへの応用2013

    • Author(s)
      安田貴徳
    • Organizer
      ISEC研究会
    • Place of Presentation
      札幌コンベンションセンター
    • Related Report
      2013 Research-status Report
  • [Presentation] 2次形式の分類定理を用いた多変数多項式デジタル署名2013

    • Author(s)
      安田貴徳
    • Organizer
      SCIS2013
    • Place of Presentation
      京都市ウエスティン都ホテル
    • Related Report
      2012 Research-status Report
  • [Presentation] 三角行列表示を用いないRainbow型電子署名方式2012

    • Author(s)
      安田貴徳
    • Organizer
      ISEC2012
    • Place of Presentation
      北海道工業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 非可換環を用いた多変数多項式署名方式に対するランク攻撃に対する考察2012

    • Author(s)
      安田貴徳
    • Organizer
      CSS2012
    • Place of Presentation
      松江市くにびきメッセ
    • Related Report
      2012 Research-status Report
  • [Remarks] ISIT webページ内 安田貴徳のページ

    • URL

      http://www.isit.or.jp/lab2/member/takanoriyasuda_japanese/

    • Related Report
      2014 Annual Research Report
  • [Remarks] ISIT webページ内 安田貴徳のページ(業績等の記載あり)

    • URL

      http://www.isit.or.jp/lab2/member/takanoriyasuda_japanese/

    • Related Report
      2013 Research-status Report
  • [Remarks] 参考:ISIT webページ内 安田貴徳のページ(業績等の記載あり)

    • URL

      http://www.isit.or.jp/lab2/member/%e5%ae%89%e7%94%b0%e8%b2%b4%e5%be%b3%ef%bc%88takanori-yasuda%ef%bc%89/

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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