Updated on 2026/07/24

写真a

 
yasunaga kenji
 
Organization
School of Computing Associate Professor
Title
Associate Professor
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Research Interests

  • Coding Theory

  • Cryptography

Research Areas

  • Informatics / Theory of informatics

Education

  • Osaka University   Graduate School of Information Science and Technology   Department of Multimedia Engineering

    2005.4 - 2008.3

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  • Osaka University   Graduate School of Information Science and Technology   Department of Multimedia Engineering

    2003.4 - 2005.3

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  • Osaka University   School of Engineering Science   Department of Information and Computer Sciences

    1999.4 - 2003.3

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Research History

  • Institute of Science Tokyo   School of Computing   Associate Professor

    2024.10

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  • Tokyo Institute of Technology   School of Computing   Associate Professor

    2021.10 - 2024.9

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  • Osaka University   Graduate School of Information Science and Technology   Associate Professor

    2018.8 - 2021.9

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  • Kanazawa University   Faculty of Electrical and Computer Engineering   Assistant Professor

    2013.1 - 2018.7

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  • Institute of Systems, Information Technologies and nanotechnologies (ISIT)   Information Security Laboratory   Researcher

    2011.10 - 2012.12

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  • Tokyo Institute of Technology   Dept. of Mathematical and Computing Sciences   Assistant Professor

    2008.10 - 2011.9

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  • Kwansei Gakuin University   Graduate School of Science and Technology, Research Center for Human Media   Post-doctoral fellow

    2008.4 - 2008.9

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Professional Memberships

  • International Association for Cryptologic Research (IACR)

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  • THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS

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Committee Memberships

  • 電子情報通信学会   情報理論研究専門委員会,幹事  

    2025.6 - 2027.6   

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  • IEEE East Asian School of Information Theory 2024   General Co-Chair  

    2024.1 - 2024.12   

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  •   International Symposium on Information Theory and Its Applications (ISITA2024), Program Committee.  

    2024   

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  •   10th ACM ASIA Public-Key Cryptography Workshop (APKC 2023), Program Committee.  

    2023   

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  • 電子情報通信学会   Special Section on ADiscrete Mathematics and Its Applications 編集委員会 編集幹事  

    2022.7 - 2023.9   

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  •   第45 回情報理論とその応用シンポジウム(SITA2022), プログラム委員  

    2022   

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  •   9th ACM ASIA Public-Key Cryptography Workshop (APKC 2022), Program Committee  

    2022   

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  • 電子情報通信学会   Special Section on ADiscrete Mathematics and Its Applications 編集委員会 編集幹事  

    2021.8 - 2022.9   

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  • 電子情報通信学会   ソサイエティ論文誌編集委員会 査読委員  

    2021.6   

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  • 情報処理学会   コンピュータセキュリティ研究運営委員会 専門委員  

    2021.4   

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  •   電子情報通信学会 Special Section on Information Theory and Its Applications 英文論文 小特集編集委員  

    2020.12 - 2022.3   

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  •   電子情報通信学会 Special Section on Discrete Mathematics and Its Applications 小特集編集委員会 編集委員  

    2020.8 - 2021.9   

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  •   電子情報通信学会 情報理論研究専門委員会 専門委員  

    2020.6 - 2025.6   

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  • 電子情報通信学会   出版委員会 委員  

    2020.6 - 2022.6   

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  •   The International Symposium on Information Theory and Its Applications (ISITA2020), Program Committee Secretary.  

    2020   

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  •   誤り訂正符号のワークショップ 2020, 実行委員  

    2020   

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  •   電子情報通信学会 Special Section on Information Theory and Its Applications 英文論文 小特集編集委員(編集幹事)  

    2019.11 - 2020.12   

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  •   電子情報通信学会 Special Section on Discrete Mathematics and Its Applications 英文論文 小特集編集委員  

    2019.8 - 2020.10   

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  •   誤り訂正符号のワークショップ 2019, 実行委員  

    2019   

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  •   電子情報通信学会 Special Section on Information Theory and Its Applications 英文論文 小特集編集委員(編集幹事)  

    2018.12 - 2019.12   

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  •   電子情報通信学会 Special Section on Cryptography and Information Security 英文論文 小特集編集委員  

    2018.11 - 2020.1   

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  • 電子情報通信学会   コンピュテーション研究専門委員会 専門委員  

    2018.6 - 2024.6   

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  •   第 41 回情報理論とその応用シンポジウム (SITA2018),プログラム委員会幹事  

    2018   

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  •   誤り訂正符号のワークショップ 2018,実行委員  

    2018   

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  •   第 41 回情報理論とその応用シンポジウム (SITA2018),実行委員  

    2018   

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  •   電子情報通信学会 Special Section on Discrete Mathematics and Its Applications 英文論文 小特集編集委員(編集幹事)  

    2017.8 - 2018.9   

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  •   電子情報通信学会 和文論文誌A編集委員会 編集委員  

    2017.6 - 2021.6   

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  • 電子情報通信学会   情報セキュリティ研究専門委員会 専門委員  

    2017.6 - 2020.6   

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  •   情報処理学会 コンピュータセキュリティ研究運営委員会 運営委員  

    2017.4 - 2021.3   

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  •   The 15th International Conference on Applied Cryptography and Network Security (ACNS2017), Organizing Committee  

    2017   

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  •   誤り訂正符号のワークショップ 2017,実行委員長  

    2017   

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  •   電子情報通信学会 Special Section on Discrete Mathematics and Its Applications 英文論文 小特集編集委員  

    2016.9 - 2017.9   

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  •   電子情報通信学会 Special Section on Foundations of Computer Science ~ Developments of the Theory on Algorithms and Computation ~ 英文論文誌 小特集編集委員  

    2016.1 - 2017.3   

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  •   The Fourth International Symposium on Computing and Networking (CANDAR’16), Program Committee.  

    2016   

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  •   誤り訂正符号のワークショップ 2016,実行委員  

    2016   

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  •   第 39 回情報理論とその応用シンポジウム (SITA2016),実行委員  

    2016   

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  •   The 3rd International Workshop on Information and Communication Security (WICS’16), Program Committee.  

    2016   

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  •   第 39 回情報理論とその応用シンポジウム (SITA2016),プログラム委員.  

    2016   

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  •   電子情報通信学会 Special Section on Information Theory and Its Applications 英文論文 小特集編集委員  

    2015.12 - 2016.12   

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  •   電子情報通信学会 Special Section on Discrete Mathematics and Its Applications 英文論文 小特集編集委員  

    2015.7 - 2016.6   

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  •   電子情報通信学会 Special Section on Foundations of Computer Science ~ Developments of the Theory on Algorithms and Computation ~ 英文論文誌 小特集編集委員  

    2015.2 - 2016.3   

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  •   電子情報通信学会 Special Section on Cryptography and Information Security 英文論文 小特集編集委員  

    2015.1 - 2016.1   

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  •   第 38 回情報理論とその応用シンポジウム (SITA2015),プログラム委員.  

    2015   

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  •   The 10th International Workshop on Security (IWSEC2015), Program Committee.  

    2015   

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  •   誤り訂正符号のワークショップ 2015,実行委員  

    2015   

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  •   LA シンポジウム 2015,実行委員  

    2015   

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  •   The 9th International Conference on Provable Security (ProvSec2015), Organizing Committee  

    2015   

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  •   電子情報通信学会 Special Section on Cryptography and Information Security 英文論文 小特集編集委員  

    2014.1 - 2015.1   

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  •   電子情報通信学会 Special Section on Cryptography and Information Security 英文論文 小特集編集委員  

    2013.1 - 2014.1   

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  •   電子情報通信学会 Special Section on Cryptography and Information Security 英文論文 小特集編集委員  

    2012.1 - 2013.1   

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  •   第 35 回情報理論とその応用シンポジウム (SITA2012),実行委員  

    2012   

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  •   The 7th International Workshop on Security (IWSEC2012), Organizing Committee  

    2012   

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Papers

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Books

  • 暗号理論入門 = Introduction to cryptography

    安永, 憲司( Role: Sole author)

    森北出版  2024.8  ( ISBN:9784627084216

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    Total pages:iv, 217p   Language:Japanese   Book type:Scholarly book

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  • Game Theory in Cryptography Invited Reviewed

    Kenji Yasunaga

    Computer Software   34 ( 1 )   81 - 92   2017

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:Japan Society for Software Science and Technology  

    There have been a number of studies using the approaches of game theory in designing cryptographic primitives and protocols. This article describes how game theory is used in cryptographic research. In particular, we explain rational players in cryptographic protocols, characterizations of security notions by equilibrium concepts, and delegation of computation using reward.

    DOI: 10.11309/jssst.34.1_81

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    Other Link: https://ndlsearch.ndl.go.jp/books/R000000004-I027958834

  • Game-Theoretic Security for Two-Party Protocols.

    Haruna Higo, Keisuke Tanaka, Akihiro Yamada, Kenji Yasunaga

    IACR Cryptology ePrint Archive   2016   1072   2016

  • AI-2-3 Protocol Security and Game Theory

    Yasunaga Kenji

    Proceedings of the IEICE Engineering Sciences Society/NOLTA Society Conference   2015   "SS - 36"-"SS-37"   2015.8

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    Language:Japanese   Publisher:The Institute of Electronics, Information and Communication Engineers  

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  • プロトコルの安全性とゲーム理論

    安永憲司

    電子情報通信学会大会講演論文集(CD-ROM)   2015   2015

  • Cryptography and game theory Invited

    Kenji Yasunaga

    Sugar Seminar   53 ( 10 )   25 - 29   2014.10

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)  

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  • On the Possibilities and Limitations of Computational Fuzzy Extractors

    Kenji Yasunaga, Kosuke Yuzawa

    IACR Cryptology ePrint Archive   2014   605   2014

  • 情報漏洩や改竄に耐性のある暗号技術に関する研究

    安永憲司, 田中圭介, 吉田真紀

    電気通信普及財団研究調査報告書(CD-ROM)   ( 28 )   2013

  • Rational Secret Sharing for Non-Simultaneous Channels

    KAWACHI Akinori, OKAMOTO Yoshio, TANAKA Keisuke, YASUNAGA Kenji

    IEICE technical report. Information theory   112 ( 58 )   41 - 46   2012.5

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    We study the problem of designing rational secret sharing, in which players behave according to their payoff. In particular, we consider rational players who want to reconstruct the secret exclusively. In this work, we propose a construction of rational secret sharing with an expected constant-round reconstruction. Our construction works in synchronous but non-simultaneous channels.

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  • Lossy Encryption に関する考察

    竹部裕俊, 安永憲司, 田中圭介

    第73回全国大会講演論文集   2011 ( 1 )   437 - 438   2011.3

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    Language:English  

    本論文では、Lossy Encryption とよばれる暗号理論に関する考察を行う。特にその安全性やこれを用いて構成される別の暗号要素を研究対象にする。

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  • 秘密情報の漏洩を考慮した公開鍵暗号の構成

    ManhHaNguyen, 安永憲司, 田中圭介

    全国大会講演論文集   2011 ( 1 )   467 - 469   2011.3

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    Language:English   Publisher:一般社団法人情報処理学会  

    We present a generic construction of a public-key encryption scheme that is resilient to chosen-ciphertext key-leakage from any hash proof system. The construction does not rely on additional computational assumptions, and the resulting scheme is as efficient as the underlying hash proof system.We also present a generic construction of a statefull public-key encryption scheme that is resilient to chosen-ciphertext key-leakage from any hash proof system and any IND-CCA secure symmetric encryption.

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  • 弱い仮定に基づく紛失通信

    山田章央, 安永憲司, 田中圭介

    第73回全国大会講演論文集   2011 ( 1 )   469 - 470   2011.3

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    紛失通信は現代暗号における基礎的なプリミティブのひとつである。紛失通信のプロトコルを構成するためには何らかの計算量的な仮定を置く必要があることが知られている。しかしながらこれらの仮定は将来的に、効率的な解法が発見されるなど間違っていることが証明される可能性がある。このため紛失通信のプロトコルを可能な限り弱い仮定から構成することが重要である。われわれは正規の通信者と不正な通信者の計算リソースの間に2乗程度のギャップが存在する場合について研究を行った。通常、これらの間には超多項式のギャップが存在する。このような弱いセッティングにおいてプロトコルが安全である場合、このプロトコルはquadratic secureであると呼ばれる。われわれは現在の構成方法で用いられる仮定よりも弱いものを用いて、quadratic securityを達成する紛失通信のプロトコルを構成した。

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  • A Unied Framework for Understanding Pseudorandom Constructions from a Coding Theoretic Perspective Invited Reviewed

    YASUNAGA Kenji

    IEICE ESS Fundamentals Review   5 ( 1 )   56 - 67   2011

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:The Institute of Electronics, Information and Communication Engineers  

    DOI: 10.1587/essfr.5.56

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  • Constant-round reconstruction for rational secret sharing

    KAWACHI Akinori, OKAMOTO Yoshio, TANAKA Keisuke, YASUNAGA Kenji

    IEICE technical report   110 ( 325 )   15 - 21   2010.11

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    We study the problem of designing rational secret sharing, in which players behave according to their payoff. We propose a rational secret sharing protocol, in which the players can reconstruct the secret in two rounds with high probability as long as every player follows the strategy in any symmetric Nash equilibrium. The communication is via a simultaneous broadcast channel. This article is a technical report without peer review, and its polished version will be published elsewhere.

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  • On Randomness Leakage in Public-Key Encryption

    NAMIKI Hitoshi, YASUNAGA Kenji, TANAKA Keisuke

    IEICE technical report   110 ( 325 )   23 - 28   2010.11

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    We consider the problem of constructing public-key encryption schemes that are resillient to leaking the randomness used in the encryption algorithm. Recently, Naor and Segev (CRYPTO2009) showed that public-key encryption schemes which are resillient to key leakage are generally constructed from hash proof systems. However, the situation of randomness leakage in the encryption algorithm has never been considered. In this paper, we formalize the attacks on randomness leakage, and propose new security notions of public-key encryption. We give a general construction of public-key encryption schemes which are resillient to the randomness-leakage attacks. Furthermore, we extend our general construction in order to prevent both the key-leakage and the randomness-leakage attacks. This article is a technical report without peer review, and its polished version will be published elsewhere.

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  • AT-2-4 Reed-Solomon Codes and Pseudorandomness

    Yasunaga Kenji

    Proceedings of the Society Conference of IEICE   2010   "SS - 49"-"SS-52"   2010

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    Language:Japanese   Publisher:The Institute of Electronics, Information and Communication Engineers  

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  • Peformance analysis of error correcting codes

    YASUNAGA Kenji

    IEICE technical report. Theoretical foundations of Computing   108 ( 443 )   33 - 33   2009.2

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    Language:Japanese   Publisher:The Institute of Electronics, Information and Communication Engineers  

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  • On Distance Distribution of a Reed-Solomon-like Code for Network Coding

    TOMINAGA Masafumi, YASUNAGA Kenji, FUJIWARA Toru

    IEICE technical report   108 ( 158 )   7 - 10   2008.7

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    Network coding is a technique for efficient network communication. Middle nodes between a source node and a destination node can encode packets from upper nodes. Random linear network coding is a coding whose encoding at middle nodes is limited to linear combination. As an error-correcting code for such a coding, Reed-Solomon-like code and its construction method were known. On the code constructed by this method, the distance distribution from one codeword V to all codewords is independent from the codeword V. It is also known that the distance distribution of the code is independent from its construction. We provide straightforward proofs for these properties.

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  • A Lower Bound on the Number of Uncorrectable Errors of Weight Half the Minimum Distance

    YASUNAGA Kenji, FUJIWARA Toru

    IEICE technical report   107 ( 501 )   51 - 56   2008.2

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    A lower bound on the number of uncorrectable errors of weight half the minimum distance is derived for binary linear codes satisfying some condition. The condition is satisfied by some primitive BCH codes, extended primitive BCH codes, Reed-Muller codes, and random linear codes. The bound comes close to the corresponding upper bound for long Reed-Muller codes and random linear codes. The monotone error structure and its related notion larger half and trial set, which are introduced by Helleseth, Klφve, and Levenshtein, are mainly used to derive the bound.

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  • A Lower Bound on the Number of Uncorrectable Errors of Weight Half the Minimum Distance

    YASUNAGA Kenji, FUJIWARA Toru

    IEICE technical report   107 ( 503 )   51 - 55   2008.2

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    A lower bound on the number of uncorrectable errors of weight half the minimum distance is derived for binary linear codes satisfying some condition. The condition is satisfied by some primitive BCH codes, extended primitive BCH codes, Reed-Muller codes, and random linear codes. The bound comes close to the corresponding upper bound for long Reed-Muller codes and random linear codes. The monotone error structure and its related notion larger half and trial set, which are introduced by Helleseth, Klφve, and Levenshtein, are mainly used to derive the bound.

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  • A Lower Bound on the Number of Uncorrectable Errors of Weight Half the Minimum Distance

    YASUNAGA Kenji, FUJIWARA Toru

    IEICE technical report   107 ( 499 )   51 - 56   2008.2

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    A lower bound on the number of uncorrectable errors of weight half the minimum distance is derived for binary linear codes satisfying some condition. The condition is satisfied by some primitive BCH codes, extended primitive BCH codes, Reed-Muller codes, and random linear codes. The bound comes close to the corresponding upper bound for long Reed-Muller codes and random linear codes. The monotone error structure and its related notion larger half and trial set, which are introduced by Helleseth, Klove, and Levenshtein, are mainly used to derive the bound.

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  • Error correction/detection using double encoding in digital watermarking

    LIU Tingting, YASUNAGA Kenji, FUJIWARA Toru

    29 ( 2 )   565 - 568   2006.11

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    Language:Japanese  

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  • Correctable Errors of Weight Half the Minimum Distance for the First-Order Reed-Muller Codes

    YASUNAGA Kenji, FUJIWARA Toru

    29 ( 1 )   5 - 8   2006.11

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    Language:English  

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  • Local Weight Distribution of the (256, 93) Third-Order Binary Reed-Muller Code

    YASUNAGA Kenji, FUJIWARA Toru, KASAMI Tadao

    IEICE technical report   106 ( 58 )   31 - 36   2006.5

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    Local weight distribution is the weight distribution of minimal codewords in linear codes. We give the local weight distribution of the (256,93) third-order binary Reed-Muller code. We modify a coset partitioning algorithm by using a binary shift invariance property for Reed-Muller codes. This property reduces by about 1/256 the time complexity of the previous method.

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  • Relations among the Local Weight Distributions of a Linear Block Code, Its Extended Code and Its Even Weight Subcode

    YASUNAGA Kenji, FUJIWARA Toru

    27 ( 2 )   559 - 562   2005.12

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    Language:English  

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  • Improvement of the Seguin Lower Bound Using the Local Weight Distribution

    YASUDA Takahiro, YASUNAGA Kenji, FUJIWARA Toru

    28 ( 2 )   435 - 438   2005.11

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    Language:Japanese  

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  • The Local Weight Distributions of Transitive Invariant Codes and Their Punctured Codes

    Yasunaga Kenji, Fujiwara Toru

    IEICE technical report. Information theory   105 ( 84 )   7 - 12   2005.5

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    The local weight distribution is the weight distribution of zero neighbors in a code. A zero neighbor is a codeword whose Voronoi region shares a facet with that of the all-zero codeword. The local weight distribution is valuable for an error performance analysis of the code. In this paper, some relations are shown for the local weight distributions of transitive invariant codes and their punctured codes. Extended primitive BCH codes and Reed-Muller codes are transitive invariant codes. Only-odd decomposable codewords are key codewords in those relations. A method for finding the only-odd decomposable codewords is also presented.

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  • Some Results on the Local Weight Distribution of Binary Linear Codes (Algebraic Aspects of Coding Theory and Cryptography)

    Fujiwara Toru, Yasunaga Kenji

    RIMS Kokyuroku   1420   150 - 162   2005.4

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    Language:English   Publisher:Kyoto University  

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    Other Link: http://hdl.handle.net/2433/47172

  • The local weight distributions of the (128, 50) extended binary primitive BCH code and the (128, 64) Reed-Muller code

    YASUNAGA Kenji, FUJIWARA Toru

    IEICE technical report. Information theory   104 ( 229 )   7 - 12   2004.7

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    The local weight distribution of a block code gives some aspects of its error performance. We obtained the local weight distributions of the (128, k) extended binary primitive BCH codes for k ≦ 43, using the invariance property to reduce the computational complexity. In this paper, the trellis structure of a code is used to reduce the complexity more, and the local weight distributions of the (128,50) extended binary primitive BCH code and the (128,64) Reed-Muller code are computed.

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  • An Algorithm for Computing the Local Distance Profile of Binary Linear Codes Closed under a Group of Permutations

    YASUNAGA Kenji, FUJIWARA Toru

    IEICE technical report. Information theory   103 ( 308 )   37 - 41   2003.9

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    Language:English   Publisher:The Institute of Electronics, Information and Communication Engineers  

    We propose an algorithm for computing the local distance profile of binary linear codes which are closed under a group of permutations. An invariance property is used in the algorithm, which is an extension of the invariance property used in a known algorithm for binary cyclic codes. To use the extended invariance property, the proposed algorithm regards the code as the set of cosets of a subcode. The set of cosets are partitioned into equivalence classes by the invariance property. Only the local distance subprofile for the representative coset in each equivalence class is computed. We apply the algorithm to the (128, k) extended primitive BCH codes, and obtain the local distance profile of codes for k ≦43.

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Presentations

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Awards

  • Outstanding Paper Award

    2018.10   GameSec 2018  

    Maiki Fujita, Kenji Yasunaga, Takeshi Koshiba

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  • Kasami Award

    2008  

    Kenji Yasunaga

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  • Society of Information Theory and Its Applications (SITA) Encouragement Award

    2007  

    Kenji Yasunaga

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Research Projects

  • 情報・計算・暗号の融合によるセキュリティ定量化理論の深化

    Grant number:26H02489  2026.4 - 2030.3

    日本学術振興会  科学研究費助成事業  基盤研究(A)

    安永 憲司

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    Grant amount:\41730000 ( Direct Cost: \32100000 、 Indirect Cost:\9630000 )

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  • 公正な割り当て・合意を自律分散的に達成する計算技法の開発

    2024.10 - 2029

    科学技術振興機構  戦略的な研究開発の推進 戦略的創造研究推進事業 CRONOS(情報通信科学・イノベーション創出基盤事業) 

    泉 泰介

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    サイバー空間を形成する多様な系・サービスは本質的に自律分散的であり、その安全かつ公正な制御は重要な技術的要請である。本研究は特に「公正な割り当てと合意の自律分散的制御」を目的としたアルゴリズム研究に取り組む。ユーザーの利己性・動的変化といった多種複雑なダイナミズムが存在する自律分散環境下において公正な割り当て・合意を達成するアルゴリズム設計の方法論を確立することを目指す。

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    J-GLOBAL

  • Foundations of Secure Distributed Quantum Computing on Medium-Scale Quantum Computers

    Grant number:24H00071  2024.4 - 2029.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (S)

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    Grant amount:\203450000 ( Direct Cost: \156500000 、 Indirect Cost:\46950000 )

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  • New theory for security analysis: from information inequality to computational inequality

    Grant number:23K17455  2023.6 - 2026.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Challenging Research (Pioneering)

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    Grant amount:\26000000 ( Direct Cost: \20000000 、 Indirect Cost:\6000000 )

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  • Complexity of Code Construction Problems

    Grant number:23K18460  2023.6 - 2026.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Challenging Research (Exploratory)

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    Grant amount:\6500000 ( Direct Cost: \5000000 、 Indirect Cost:\1500000 )

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  • Foundations of Security Quantification by Integrating Information, Computation, and Cryptography Theories

    Grant number:23H00468  2023.4 - 2027.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (A)

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    Grant amount:\46930000 ( Direct Cost: \36100000 、 Indirect Cost:\10830000 )

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  • Construction of Quantum Computaional Infrastracture towards Quantum Information Society

    Grant number:21H04879  2021.4 - 2026.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (A)

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    Grant amount:\41470000 ( Direct Cost: \31900000 、 Indirect Cost:\9570000 )

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  • Exploring the Limitations of Deletion Codes

    Grant number:18K11159  2018.4 - 2023.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    Yasunaga Kenji

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    Grant amount:\4160000 ( Direct Cost: \3200000 、 Indirect Cost:\960000 )

    Focusing on error correctability of list decoding for insertions and deletions, we derived a bound generalizing the Johnson bound for ordinary symbol errors to the Levenshtein distance. The bound implies that the correctability for insertions is superior to deletions in list decoding. Also, we construct a code to achieve the correctability of this bound based on concatenated codes. In addition, based on the bound for list decodability, we derived a bound representing the trade-off between insertion/deletion correctability and coding rate by a probabilistic argument. This bound is superior to the existing ones for binary codes.

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  • Constructions for Cryptographic Primitives with Incentives

    Grant number:17H01695  2017.4 - 2021.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    Tanaka Keisuke

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    Grant amount:\15860000 ( Direct Cost: \12200000 、 Indirect Cost:\3660000 )

    We conducted a survey and research on incentive design techniques. Through detailed surveys and comparisons of techniques, we attempted to design models and techniques for incentive-based digital signatures and authentication. In particular, we focused on an element called Secure Message Transmission (SMT), which is closely related to these elements, and showed that even if multiple communication channels are all controlled by an adversary, communication can be performed securely when a rational adversary is considered. In addition, we conducted a survey and research on blockchain. In particular, we returned to the origin of proof-of-work and examined the situation where a time and memory gap occurs between the prover and the verifier.

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  • Interpolative Expansion of Quantum Protocol Theory

    Grant number:16H01705  2016.4 - 2021.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (A)

    Takeshi Koshiba

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    Grant amount:\41730000 ( Direct Cost: \32100000 、 Indirect Cost:\9630000 )

    The computational power of the DQC1 model, which is a formalization of non-universal quantum computation with initialization-hard quantum states, is shown to be superior to classical computation. Many quantum distributed algorithms are developed. Under the standard model for distributed algorithms, efficient quantum protocols for several fundamental problems such as the shortest path problem. Secure quantum delegated computation cannot achieve the perfect security for classical clients. By introducing the notion of rewards in quantum computations, classical verification of having the quantum power of the server is affirmatively settled. This is a game-theoretic solution and gives a novel method in quantum computation.

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  • 符号理論における計算限界の解明

    Grant number:15H00851  2015.4 - 2017.3

    日本学術振興会  科学研究費助成事業  新学術領域研究(研究領域提案型)

    安永 憲司

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    Grant amount:\4550000 ( Direct Cost: \3500000 、 Indirect Cost:\1050000 )

    本研究は、誤り訂正符号技術の計算限界を解明することを目的としている。特に、計算量制限通信路を考え、計算限界の解明を目指す。
    計算量制限通信路は、Lipto (1994) が導入した概念であり、彼は二元対称通信路向けの符号を計算量制限通信路向けに変換する方法を示した。具体的には、送受信者間でランダムな鍵を共有する設定を考え、その鍵を利用して、送信符号語の位置をランダムに置換し、ランダムマスクでその情報を隠すという方法を提案している。この方法により、通信路において任意の誤りが発生したとしても、その誤りの位置はランダムに置換されるため、ランダム誤りが挿入されたとみなすことができ、二元対称通信路向けの符号で訂正することが可能となる。
    Lipton の手法では、秘密鍵が1回限りしか有効でないという問題がある。つまり、複数回の誤り訂正を行うためには、その数に合わせた数の鍵を共有する必要がある。この状況は、秘密鍵暗号における使い捨て鍵暗号と同じである。使い捨て鍵暗号は、十分な秘匿性を達成できるが、複数回の通信のためにはその数に合わせた数の鍵を共有する必要がある。
    利用回数に制限のある使い捨て鍵暗号に対し、現代的な秘密鍵暗号では、一つの鍵を共有することで任意の回数の暗号化通信を保証する仕組みを持っている。さらに、攻撃者が暗号化関数や復号関数を利用できるような状況を考慮したより強力な安全性を考え、現在ではそのような安全性が標準的とも考えられている。
    本研究では、Lipton 方式を使い捨て鍵による誤り訂正符号と考え、その安全性を現代的な暗号技術と同等に高めた方式を構築した。具体的には、Guruswami と Smith (2016) の方式を、秘密鍵設定における誤り訂正符号とみなし、その方式に対し、通信路が符号化関数と復号関数を利用できたとしても問題なく誤り訂正ができることを証明した。

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  • 計算構造制限下での暗号技術の限界解明

    Grant number:25106509  2013.4 - 2015.3

    日本学術振興会  科学研究費助成事業  新学術領域研究(研究領域提案型)

    安永 憲司

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    Grant amount:\4030000 ( Direct Cost: \3100000 、 Indirect Cost:\930000 )

    本研究では、計算構造の制限下における暗号技術の存在限界を解明することを目的としている。
    情報セキュリティの完全性に関わる暗号技術として、誤り訂正符号がある。データを通信・保存して取り出す際に、データの誤りを検出・訂正する技術である。ブラックボックス構成による存在限界が明らかになっていなかった誤り訂正符号に着目し、その限界を明らかにすることを目指した。特に、最悪ケース通信路をより現実的な範囲に限定した、計算量制限通信路に着目し、既存研究で明らかになっていなかった、挿入可能誤り数に制限がない場合の訂正限界の解明を目指した。
    まず、擬似ランダムな誤りが挿入される場合は、効率的な誤り訂正が不可能であることがわかった。この議論から、エントロピーが入力長の任意の多項式オーダーであるような比較的小さい誤りであっても、効率的に訂正不可能なものが存在することがわかった。この議論には、一方向性関数の存在を仮定する必要があるが、このような不可能性の議論には一方向性関数の存在性が必要であることも分かった。また、誤りのエントロピーが対数関数より真に大きい程度の、非常に小さい場合であっても、効率的な誤り訂正が望めないこ とを明らかにした。より具体的には、あるオラクルへのアクセスを許す環境において、効率的にサンプル可能であるが、効率的に訂正不可能な誤りが存在することを示した。この結果から、誤りの効率的なサンプル可能性を利用した、誤り訂正符号のブラックボックス構成が不可能であることが明らかになった。この不可能性の結果は、符号化レートがある程度以下の場合の不可能性であったが、それより高い符号化レー トの場合には、より強力な、情報理論的な不可能性を示すことができる。つまり、誤りの効率的なサンプル可能性を利用した符号の構成はすべての符号化レートにおいて不可能であることが明らかになった.

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  • Deepening Theory of Quantum Protocols

    Grant number:24240001  2012.4 - 2016.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (A)

    KOSHIBA Takeshi

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    Grant amount:\36010000 ( Direct Cost: \27700000 、 Indirect Cost:\8310000 )

    We propose a generalized model of quantum interactive proof systems and show the existence of complete problems and a quantum version of Babai's collapse theorem. We construct efficient quantum algorithms for matrix multiplication of semi-rings and for finding triangles in graphs and develop their analysis to obtain their quantum distribution protocols. In ancilla-driven model where computation systems and measurement systems are separable, we show that quantum blind computation is achievable. We characterize a classical computational complexity class AWPP, which corresponds to a quantum computational complexity class BQP, by using the notion of post-selection. We give a natural reason why AWPP is the tightest upper bound of BQP and develop a quantum complexity theoretic approach to the study of AWPP.

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  • Game Theoretic Studies on Cryptographic Protocols

    Grant number:23500010  2011.4 - 2015.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    TANAKA Keisuke, YASUNAGA Kenji

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    Grant amount:\5070000 ( Direct Cost: \3900000 、 Indirect Cost:\1170000 )

    We characterize the properties of two-message oblivious transfer protocols by using a game-theoretic concept. Specifically, we present a single two-player game for two-message oblivious transfer in the game-theoretic framework, where it captures the cryptographic properties of correctness and privacy in the presence of malicious adversaries.
    In addition we also focus on bit commitment, and study it from a perspective of game theory. In a similar manner to the work on oblivious transfer, we consider bit commitment in the malicious model. In order to naturally capture the security properties of bit commitment, we characterize them with a single game where both parties are rational. In particular, we define a security notion from a game theoretic viewpoint, and prove the equivalence between it and the standard security notion.

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  • Randomness and Structure in Error-Correcting Codes

    Grant number:23700010  2011 - 2013

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Young Scientists (B)

    YASUNAGA Kenji

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    Grant amount:\3640000 ( Direct Cost: \2800000 、 Indirect Cost:\840000 )

    We have introduced samplable additive-error channels, and studied the possibilities and limitations of error correction in the channels. "Samplable" means that the errors are efficiently computable, and "additive" means that the errors are added to input codewords without the knowledge of the code or the codewords. If samplable distributions form linear subspaces, we can correct the errors by linear codes. In the situations relativized by oracles, there are samplable errors with low entropy for which no efficient syndrome decoding exists. If samplable distributions are of small-bias, there is a relation between the magnitude of the bias and the information rate on which the errors are correctable.

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  • Constructions of Error-Correcting Codes Based on Pseudorandomness

    Grant number:20860079  2008 - 2009

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Young Scientists (Start-up)

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    Grant amount:\3289000 ( Direct Cost: \2530000 、 Indirect Cost:\759000 )

    It was realized that many pseudorandom objects, such as list-decodable code, pseudorandom generator, and expander graph, have a common structure. Also it was realized that pseudorandom generators for polynomials are equivalent to good error-correcting codes under a certain condition. We generalized a decoding algorithm for codes based on polynomials to be applicable to more general class of codes.

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