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効率的かつ安全な多変数多項式暗号方式の構築

Research Project

Project/Area Number 15F15350
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section外国
Research Field Information security
Research InstitutionKyushu University

Principal Investigator

高木 剛  九州大学, マス・フォア・インダストリ研究所, 教授 (60404802)

Co-Investigator(Kenkyū-buntansha) PETZOLDT ALBRECHT  九州大学, マス・フォア・インダストリ研究所, 外国人特別研究員
Project Period (FY) 2015-11-09 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2016: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2015: ¥600,000 (Direct Cost: ¥600,000)
Keywords公開鍵暗号 / ポスト量子暗号 / 多変数多項式暗号
Outline of Annual Research Achievements

ポスト量子暗号は、量子計算機の超並列計算モデルにおいても解読が困難となる数学問題を基にして構成される暗号方式である。本研究課題では、多変数多項式の求解問題の困難性を基にした公開鍵暗号を考察している。特に、既に実用化されているRSA暗号や楕円曲線暗号と同様の効率性を有する多変数多項式暗号の構成を目指す。
多変数多項式暗号では公開鍵サイズが比較的大きくなる問題点があるが、暗号化方式SRPの公開鍵に巡回構造を導入することによりサイズを55%縮小する方法を構成し、国際会議ACIS2016で発表した。また、多変数多項式を用いた任意のディジタル署名の署名サイズを10~15%縮小する方式を考察し、公開鍵暗号系の中で署名サイズが最も短くなるディジタル署名の構成を与えた。この論文は国際会議Indocrypt 2016において発表した。最後に、多変数多項式を用いたアグリゲイト署名を構成し、国際会議ISC2016で発表した。他の耐量子性を有するアグリゲイト署名と比較して、提案方式の署名サイズは最も短いものとなる。

Research Progress Status

28年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

28年度が最終年度であるため、記入しない。

Report

(2 results)
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (13 results)

All 2016 2015 Other

All Int'l Joint Research (5 results) Journal Article (5 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 5 results,  Open Access: 5 results,  Acknowledgement Compliant: 3 results) Presentation (2 results) Remarks (1 results)

  • [Int'l Joint Research] Technische Universitaet Darmstadt(Germany)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Technische Universitaet Darmstadt(Germany)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] University of Cincinnati(米国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Academia Sinica(Taiwan)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] South China University of Technology(China)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Reducing the Key Size of the SRP Encryption Scheme2016

    • Author(s)
      Dung Hoang Duong, Albrecht Petzoldt, Tsuyoshi Takagi
    • Journal Title

      21st Australasian Conference on Information Security and Privacy, ACISP 2016:

      Volume: LNCS 9723 Pages: 427-434

    • DOI

      10.1007/978-3-319-40367-0_27

    • ISBN
      9783319403663, 9783319403670
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] MQSAS - A Multivariate Sequential Aggregate Signature Scheme2016

    • Author(s)
      Rachid El Bansarkhani, Mohamed Saied Emam Mohamed, Albrecht Petzoldt
    • Journal Title

      19th International Conference on Information Security, ISC 2016

      Volume: LNCS 9886 Pages: 426-439

    • DOI

      10.1007/978-3-319-45871-7_25

    • ISBN
      9783319458700, 9783319458717
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] The Shortest Signatures Ever2016

    • Author(s)
      Mohamed Saied Emam Mohamed, Albrecht Petzoldt
    • Journal Title

      Progress in Cryptology - International Conference in Cryptology in India, INDOCRYPT 2016

      Volume: LNCS 10095 Pages: 61-77

    • DOI

      10.1007/978-3-319-49890-4_4

    • ISBN
      9783319498898, 9783319498904
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Post-Quantum Cryptography: State of the Art2016

    • Author(s)
      Johannes A. Buchmann, Denis Butin, Florian Göpfert, Albrecht Petzoldt
    • Journal Title

      The New Codebreakers

      Volume: LNCS 9100 Pages: 88-108

    • DOI

      10.1007/978-3-662-49301-4_6

    • ISBN
      9783662493007, 9783662493014
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Design Principles for HFEv- Based Multivariate Signature Schemes2015

    • Author(s)
      Albrecht Petzoldt, Ming-Shing Chen, Bo-Yin Yang, Chengdong Tao, Jintai Ding
    • Journal Title

      Advances in Cryptology -- ASIACRYPT 2015 (PART I)

      Volume: LNCS 9472 Pages: 311-334

    • DOI

      10.1007/978-3-662-48797-6_14

    • ISBN
      9783662487969, 9783662487976
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Multivariate Signature Schemes with Special Properties2016

    • Author(s)
      Albrecht Petzoldt
    • Organizer
      Fukuoka Workshop on Multivariate Cryptography
    • Place of Presentation
      Kyushu University
    • Year and Date
      2016-03-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] Recent Trends in Multivariate Cryptography2016

    • Author(s)
      Albrecht Petzoldt, Tsuyoshi Takagi
    • Organizer
      2016 年暗号と情報セキュリティシンポジウム (SCIS2016)
    • Place of Presentation
      ANAクラウンプラザホテル熊本ニュースカイ
    • Year and Date
      2016-01-19
    • Related Report
      2015 Annual Research Report
  • [Remarks] 九州大学マス・フォア・インダストリ研究所 高木研究室

    • URL

      http://imi.kyushu-u.ac.jp/~takagi/

    • Related Report
      2016 Annual Research Report

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Published: 2015-11-26   Modified: 2024-03-26  

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