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Constructing encryption functions secure against quantum computing

Research Project

Project/Area Number 21500002
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionTohoku University

Principal Investigator

SHIZUYA Hiroki  東北大学, 教育情報基盤センター, 教授 (50196383)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2010: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords暗号化関数 / 量子計算機 / 素因数分解問題 / 離散対数問題 / NPMV完全 / NP完全 / 暗号か関数
Research Abstract

Quantum computers are potentially powerful enough to break any existing cryptographic schemes that are used to keep information and information systems safe and secure. Therefore we attempt to establish a theoretical background to construct a countermeasure against quantum computing. Our main idea is to strengthen the difficulty of a cryptographic primitive by combining it with other harder problem , so that the strengthened primit ive can be placed beyond the reach of quantum computer s . We call this technique" lifting" . In this research project, we have shown the lower bound of cryptographic primitives to be lifted, their complexity-theoretic properties, and the relationships among the problems used for lifting.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (20 results)

All 2012 2011 2010 2009 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (14 results) Remarks (1 results)

  • [Journal Article] 情報セキュリティ教育の輪郭線2012

    • Author(s)
      静谷啓樹
    • Journal Title

      情報リテラシー研究論叢

      Volume: 1 Pages: 72-83

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Pseudo-Freeness and the CDH Assumption2009

    • Author(s)
      Shingo Hasegawa, Shuji Isobe, Hiroki Shizuya
    • Journal Title

      International Journal of Information Security

      Volume: 8 Pages: 347-355

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Complexity of Computing Discrete Logarithms over Algebraic Tori2009

    • Author(s)
      Shuji Isobe, Eisuke Koizumi, Yuji Nishigaki, Hiroki Shizuya
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 5888 Pages: 433-442

    • NAID

      130003394859

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Pseudo-Freeness and the CDH Assumption2009

    • Author(s)
      Shingo Hasegawa, Shuji Isobe, Hiroki Shizuya, Katsuhiro Tashiro
    • Journal Title

      International Journal of Information Security 8

      Pages: 347-355

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the complexity of computing discrete logarithms over algebraic tori2009

    • Author(s)
      Shuji Isobe, Eisuke Koizumi, Yuji Nishigaki, Hiroki Shizuya
    • Journal Title

      Lecture Notes in Computer Science 5888

      Pages: 433-442

    • NAID

      130003394859

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] 環準同型性を持つ公開鍵暗号の一構成2012

    • Author(s)
      高橋大樹
    • Organizer
      電子情報通信学会2012年暗号と情報セキュリティシポジウム
    • Place of Presentation
      金沢エクセルホテル東急
    • Year and Date
      2012-02-01
    • Related Report
      2011 Final Research Report
  • [Presentation] 環準同型性を持つ公開鍵暗号の一構成2012

    • Author(s)
      高橋大樹, 千田栄幸, 静谷啓樹
    • Organizer
      2012年暗号と情報セキュリティシポジウム(SCIS2012 3D2-4)
    • Place of Presentation
      石川県金沢市(金沢エクセルホテル東急)
    • Year and Date
      2012-02-01
    • Related Report
      2011 Annual Research Report
  • [Presentation] SLPに基づく強RSA仮定とDDH仮定の分離2011

    • Author(s)
      福光正幸
    • Organizer
      電子情報通信学会情報セキュリティ研究会
    • Place of Presentation
      大阪電気通信大学
    • Year and Date
      2011-11-15
    • Related Report
      2011 Final Research Report
  • [Presentation] 情報の漏れを許容する知識の対話証明2011

    • Author(s)
      岩崎淳也
    • Organizer
      電子情報通信学会情報セキュリティ研究会
    • Place of Presentation
      大阪電気通信大学
    • Year and Date
      2011-11-15
    • Related Report
      2011 Final Research Report
  • [Presentation] SLPに基づく強RSA仮定とDDH仮定の分離2011

    • Author(s)
      福光正幸, 長谷川真吾, 磯辺秀司, 小泉英介, 静谷啓樹
    • Organizer
      電子情報通信学会情報セキュリティ研究会(電子情報通信学会技術研究報告ISEC2011-55)
    • Place of Presentation
      大阪府寝屋川市(大阪電気通信大学)
    • Year and Date
      2011-11-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 情報の漏れを許容する知識の対話証明2011

    • Author(s)
      岩崎淳也, 長谷川真吾, 磯辺秀司, 小泉英介, 静谷啓樹
    • Organizer
      電子情報通信学会情報セキュリティ研究会(電子情報通信学会技術研究報告ISEC2011-56)
    • Place of Presentation
      大阪府寝屋川市(大阪電気通信大学)
    • Year and Date
      2011-11-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 多価関数における自己帰着とmany-one型帰着について2011

    • Author(s)
      許智元
    • Organizer
      電子情報通信学会情報セキュリティ研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2011-03-04
    • Related Report
      2011 Final Research Report
  • [Presentation] 多価関数における自己帰着とmany-one型帰着について2011

    • Author(s)
      許智元, 磯辺秀司, 小泉英介, 静谷啓樹
    • Organizer
      電子情報通信学会情報セキュリティ研究会
    • Place of Presentation
      吹田市(大阪大学)
    • Year and Date
      2011-03-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] SLPを用いた帰着に基づく暗号学的仮定の分離2011

    • Author(s)
      福光正幸
    • Organizer
      電子情報通信学会2011年暗号と情報セキュリティシンポジウム
    • Place of Presentation
      北九州市リーガロイヤルホテル小倉
    • Year and Date
      2011-01-25
    • Related Report
      2011 Final Research Report
  • [Presentation] On the Relationship between Recognizing Languages and Com-puting Functions2011

    • Author(s)
      Shingo Hasegawa
    • Organizer
      電子情報通信学会2011年暗号と情報セキュリティシンポジウム
    • Place of Presentation
      北九州市リーガロイヤルホテル小倉
    • Year and Date
      2011-01-25
    • Related Report
      2011 Final Research Report
  • [Presentation] SLPを用いた帰着に基づく暗号学的仮定の分離2011

    • Author(s)
      福光正幸, 長谷川真吾, 磯辺秀司, 小泉英介, 静谷啓樹
    • Organizer
      電子情報通信学会2011年暗号と情報セキュリティシンポジウム(SCIS2011)
    • Place of Presentation
      北九州市(リーガロイヤルホテル小倉)
    • Year and Date
      2011-01-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the Relationship between Recognizing Languages and Computing Functions2011

    • Author(s)
      Shingo Hasegawa, Shuji Isobe, Hiroki Shizuya
    • Organizer
      電子情報通信学会2011年暗号と情報セキュリティシンポジウム(SCIS2011)
    • Place of Presentation
      北九州市(リーガロイヤルホテル小倉)
    • Year and Date
      2011-01-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 言語認識の複雑さと関数計算の複雑さの関係2010

    • Author(s)
      長谷川真吾
    • Organizer
      電子情報通信学会情報セキュリティ研究会
    • Place of Presentation
      弘前大学
    • Year and Date
      2010-07-02
    • Related Report
      2011 Final Research Report
  • [Presentation] 言語認識の複雑さと関数計算の複雑さの関係2010

    • Author(s)
      長谷川真吾, 磯辺秀司, 静谷啓樹
    • Organizer
      電子情報通信学会情報セキュリティ研究会
    • Place of Presentation
      弘前市(弘前大学)
    • Year and Date
      2010-07-02
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.isl.is.tohoku.ac.jp/~shizuya/

    • Related Report
      2011 Final Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

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