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Joint Channel Coding and Channel Intrinsic Randomness

Research Project

Project/Area Number 17K06417
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Communication/Network engineering
Research InstitutionTokyo Institute of Technology

Principal Investigator

Uyematsu Tomohiko  東京工業大学, 工学院, 教授 (60168656)

Co-Investigator(Kenkyū-buntansha) 松田 哲直  東京工業大学, 工学院, 助教 (00638984)
Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords乱数生成問題 / 達成可能領域 / 乱数生成レート / 情報伝送レート / 一般通信路 / 一般多重アクセス通信路 / 一般盗聴通信路 / 多重アクセス通信路 / 乱数生成 / 同時符号化 / 通信路符号化 / 無記憶通信路 / 盗聴通信路 / 誤り指数 / 通信路符号化と乱数生成の連携 / 放送型通信路 / 情報理論 / アルゴリズム / 情報セキュリティ / 通信路
Outline of Final Research Achievements

In this research, we aimed at clarifying the limits of the random number generation rate and the random number sharing rate by tackling the problems that had not been formulated yet, and obtained the following results.
1) For a multi-input / multi-output general channel, we clarify the maximum random number generation rate that can be extracted from the output sequence of the channel, the maximum random number generation rate when the error ε is allowed, and the secondary rate.
2) For the general channel, the general wiretapping channel, and the general multiple access channel, we consider the problem that the receiver obtains the information transmitted by the sender with an arbitrarily small error rate, at the same time the receiver generates random numbers independent of the information transmitted by the sender and the sequence received by the eavesdropper. We clarify the limit area (achievable area) of the information transmission rate and the random number generation rate.

Academic Significance and Societal Importance of the Research Achievements

情報源を利用した真の乱数生成問題は、intrinsic randomness 問題として知られ、通信路を用いた真の乱数生成問題は、channel intrinsic randomness 問題と呼ばれる。しかしながら、放送型通信路の出力列から各受信者が互いに独立な真の乱数を生成する問題、あるいは多重アクセス通信路の出力列を用いて真の乱数を生成する問題に対する乱数生成レートの限界などは未知であった。本研究では、これらのまだ定式化されていない問題を取り上げ、乱数の生成レートや共有レートを求めた点に学術的な意義がある。また、乱数生成や乱数共有は安全安心な通信の基盤でもあり、社会的意義も大きい。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (6 results)

All 2019 2018 2017

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (4 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] Joint Channel Coding and Intrinsic Randomness2018

    • Author(s)
      UYEMATSU Tomohiko, MATSUTA Tetsunao
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E101.A Issue: 12 Pages: 2091-2098

    • DOI

      10.1587/transfun.E101.A.2091

    • NAID

      130007539059

    • ISSN
      0916-8508, 1745-1337
    • Year and Date
      2018-12-01
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Second-Order Intrinsic Randomness for Correlated Non-Mixed and Mixed Sources2017

    • Author(s)
      Tomohiko Uyematsu and Tetsunao Matsuta
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E100.A Issue: 12 Pages: 2615-2628

    • DOI

      10.1587/transfun.E100.A.2615

    • NAID

      130006236487

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] Joint Multiple-Access and Channel Intrinsic Randomess2019

    • Author(s)
      Tomohiko Uyematsu and Tetsunao Matsuta
    • Organizer
      電子情報通信学会第11回シャノン理論ワークショップ
    • Related Report
      2019 Annual Research Report
  • [Presentation] Error Exponents of Joint Channel Coding and Intrinsic Randomness for Memoryless Channels2018

    • Author(s)
      Tomohiko Uyematsu
    • Organizer
      International Symposium on Information Theory and its Applications 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Joint Secure Communication and Independent Random Number Generation against Eavesdropper2018

    • Author(s)
      Natsuki Hirotani
    • Organizer
      International Symposium on Information Theory and its Applications 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Joint Channel Coding and Channel Intrinsic Randomness2017

    • Author(s)
      Tomohiko Uyematsu and Tetsunao Matsuta
    • Organizer
      第40回情報理論とその応用シンポジウム(SITA2017)
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2021-02-19  

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