kudo momonari 工藤桃成

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Kudo Momonari 工藤桃成

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Researcher Number	10824708
Other IDs
Affiliation (Current)	2023: 福岡工業大学, 情報工学部, 助教
Affiliation (based on the past Project Information) *help	2023: 福岡工業大学, 情報工学部, 助教 2020 – 2021: 東京大学, 大学院情報理工学系研究科, 助教 2018 – 2019: 神戸市立工業高等専門学校, その他部局等, 講師
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords	Principal Investigator 超特異曲線 / 超特別曲線 / 計算代数 / 代数曲線 / 耐量子計算機暗号 / 計算代数幾何学 / モジュライ空間 / 超特異アーベル多様体 / 暗号応用 / 数式処理 … More / 同種写像 / コホモロジー群 / フロベニウス写像 / フロベニウス射 / Hasse-Witt行列 / 正標数 / 最大曲線 / 計算代数幾何 / 代数幾何学 Less

Study on supersingular curves and their moduli spaces via computational algebraic geometry and its applications to cryptographyPrincipal Investigator
- Principal Investigator
  
  工藤桃成
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Fukuoka Institute of Technology
計算代数手法に基づく正標数の代数曲線に関する研究の深化と暗号応用への展望Principal Investigator
- Principal Investigator
  
  工藤桃成
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo
Study on special algebraic curves over fields of positive characteristic via computer algebraPrincipal Investigator
- Principal Investigator
  
  Kudo Momonari
- Project Period (FY)
  2019
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Kobe City College of Technology

All 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] Introduction to algebraic approaches for solving isogeny path-finding problems2022
- Author(s)
  Ryoya Fukasaku, Yasuhiko Ikematsu, Momonari Kudo, Masaya Yasuda and Kazuhiro Yokoyama
- Journal Title
  
  RIMS Kokyuroku Bessatsu (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties)
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14301
[Journal Article] Introduction to Computational Algebraic Geometry2022
- Author(s)
  Momonari Kudo and Shushi Harashita
- Journal Title
  
  RIMS Kokyuroku Bessatsu (Algebraic Number Theory and Related Topics 2020)
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14301
[Journal Article] Solving the constructive Deuring correspondence via the Kohel-Lauter-Petit-Tignol algorithm2022
- Author(s)
  Yuta Kambe, Masaya Yasuda, Masayuki Noro, Kazuhiro Yokoyama, Yusuke Aikawa, Katsuyuki Takashima and Momonari Kudo
- Journal Title
  
  Mathematical Cryptology
  
  Volume: 1(2) Pages: 10-24
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14301
[Journal Article] Counting isomorphism classes of superspecial curves2022
- Author(s)
  Momonari Kudo
- Journal Title
  
  RIMS Kokyuroku Bessatsu (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14301
[Journal Article] Implementation report of the Kohel-Lauter-Petit-Tignol algorithm for the constructive Deuring correspondence2021
- Author(s)
  Kambe Yuta、Aikawa Yusuke、Kudo Momonari、Yasuda Masaya、Takashima Katsuyuki、Yokoyama Kazuhiro
- Journal Title
  
  Proceedings of 7th International Conference on Mathematics and Computing (ICMC2021)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14301
[Journal Article] Algebraic approaches for solving isogeny problems of prime power degrees2020
- Author(s)
  Takahashi Yasushi、Kudo Momonari、Fukasaku Ryoya、Ikematsu Yasuhiko、Yasuda Masaya、Yokoyama Kazuhiro
- Journal Title
  
  Journal of Mathematical Cryptology
  
  Volume: 15 Issue: 1 Pages: 31-44
- DOI
  10.1515/jmc-2020-0072
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K22847, KAKENHI-PROJECT-20K14301, KAKENHI-PROJECT-18K03432
[Journal Article] Computing representation matrices for the action of Frobenius on cohomology groups2020
- Author(s)
  Kudo Momonari
- Journal Title
  
  Journal of Symbolic Computation
  
  Volume: - Pages: 441-464
- DOI
  10.1016/j.jsc.2020.07.015
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14301
[Journal Article] Automorphism groups of superspecial curves of genus 4 over F112020
- Author(s)
  Kudo Momonari、Harashita Shushi、Senda Hayato
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 224 Issue: 9 Pages: 106339-106339
- DOI
  10.1016/j.jpaa.2020.106339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05196, KAKENHI-PROJECT-19K21026
[Journal Article] Hybrid Meet-in-the-Middle Attacks for the Isogeny Path-Finding Problem2020
- Author(s)
  Ikematsu Yasuhiko、Fukasaku Ryoya、Kudo Momonari、Yasuda Masaya、Takashima Katsuyuki、Yokoyama Kazuhiro
- Journal Title
  
  APKC20: Proceedings of the 7-th ACM Workshop on ASIA Public-Key Cryptography
  
  Volume: -- Pages: 36-44
- DOI
  10.1145/3384940.3388956
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K22847, KAKENHI-PROJECT-20K14301, KAKENHI-PROJECT-18K03432
[Journal Article] The existence of supersingular curves of genus 4 in arbitrary characteristic2020
- Author(s)
  Kudo Momonari、Harashita Shushi、Senda Hayato
- Journal Title
  
  Research in Number Theory
  
  Volume: 6 Issue: 4
- DOI
  10.1007/s40993-020-00217-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14301, KAKENHI-PROJECT-17K05196
[Journal Article] Algorithms to enumerate superspecial Howe curves of genus 42020
- Author(s)
  Kudo Momonari、Harashita Shushi、Howe Everett W.
- Journal Title
  
  Open Book Series
  
  Volume: 4 Issue: 1 Pages: 301-316
- DOI
  10.2140/obs.2020.4.301
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14301, KAKENHI-PROJECT-17K05196
[Journal Article] Superspecial trigonal curves of genus 52020
- Author(s)
  Kudo Momonari、Harashita Shushi
- Journal Title
  
  Experimental Mathematics
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21026
[Journal Article] Computational approach to enumerate non-hyperelliptic superspecial curves of genus 42020
- Author(s)
  Kudo Momonari、Harashita Shushi
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21026
[Journal Article] On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five2019
- Author(s)
  Kudo Momonari
- Journal Title
  
  Communications in Algebra
  
  Volume: 47 Issue: 12 Pages: 5020-5038
- DOI
  10.1080/00927872.2019.1609013
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21026
[Journal Article] Superspecial Hyperelliptic Curves of Genus 4 over Small Finite Fields2018
- Author(s)
  Kudo Momonari、Harashita Shushi
- Journal Title
  
  L. Budaghyan, F. Rodriguez-Henriquez (eds), Arithmetic of Finite Fields, WAIFI 2018, Lecture Notes in Computer Science
  
  Volume: 11321 Pages: 58-73
- DOI
  10.1007/978-3-030-05153-2_3
- ISBN
  9783030051525, 9783030051532
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Genus-five hyperelliptic or trigonal curves with many rational points in characteristic three2022
- Author(s)
  Momonari Kudo and Shushi Harashita
- Organizer
  8th International Conference on Mathematics and Computing (ICMC 2022)
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] The a-numbers of non-hyperelliptic curves of genus three with large cyclic automorphism group2022
- Author(s)
  大橋亮，工藤桃成，原下秀士
- Organizer
  日本数学会2022年度年会
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] 計算代数幾何入門 - 暗号解読および代数曲線論への応用事例とともに2022
- Author(s)
  工藤桃成
- Organizer
  2021年度第8回九州大学マス・フォア・イノベーション・セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] Parametrizing generic curves of genus five and its application to finding curves with many rational points2021
- Author(s)
  工藤桃成，原下秀士
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] Parametrizing generic curves of genus five and its application to finding curves with many rational points2021
- Author(s)
  工藤桃成
- Organizer
  九州代数的整数論2021夏
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] 種数5の非超楕円曲線を定義する方程式の明示的構成とその応用2021
- Author(s)
  工藤桃成，原下秀士
- Organizer
  日本応用数理学会2021年年会「数論アルゴリズムとその応用」(JANT) セッション
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] Parametrizing generic curves of genus five and its application to finding curves with many rational points2021
- Author(s)
  Momonari Kudo and Shushi Harashita
- Organizer
  MEGA 2021: Effective Methods in Algebraic Geometry
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] 計算代数幾何学入門 - 有理点を多くもつ有限体上の代数曲線の構成を通じて2020
- Author(s)
  工藤桃成，原下秀士
- Organizer
  RIMS共同研究（公開型）「代数的整数論とその周辺」2020
- Invited
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] Algorithms to enumerate superspecial Howe curves of genus four2020
- Author(s)
  Momonari Kudo, Shushi Harashita, Everett Howe
- Organizer
  Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] 暗号応用に向けた代数曲線の明示的構成と関連する算術2020
- Author(s)
  工藤桃成
- Organizer
  第12回暗号及び情報セキュリティと数学の相関ワークショップ (CRISMATH 2020)
- Invited
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] Recent developments in the study on supersingular curves of low genera2020
- Author(s)
  工藤桃成
- Organizer
  九州代数的整数論2020夏 on Zoom
- Invited
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] Efficient algorithms for finding and enumerating superspecial Howe curves in much larger characteristic2020
- Author(s)
  Momonari Kudo, Shushi Harashita, Everett Howe
- Organizer
  日本応用数理学会2020年年会「数論アルゴリズムとその応用」(JANT) セッション
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] 超特異曲線・超特別曲線の明示的構成と関連する計算問題について2020
- Author(s)
  工藤桃成
- Organizer
  津田塾大学整数論ワークショップ2020
- Invited
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] Counting the isomorphism classes of superspecial curves2020
- Author(s)
  Momonari Kudo
- Organizer
  Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14301
[Presentation] 代数多様体のコホモロジー群へのフロベニウス作用を計算するアルゴリズム2019
- Author(s)
  工藤桃成
- Organizer
  日本数式処理学会第28回大会
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Superspecial trigonal curves of genus five2019
- Author(s)
  工藤桃成、原下秀士
- Organizer
  日本数学会2019年年会
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Computational approaches to superspecial curves of genera 4 and 5 over finite fields2019
- Author(s)
  Kudo Momonari
- Organizer
  Supersingular Abelian Varieties and Related Arithmetic
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] 同種写像問題に対する代数的求解法の解析と計算量評価2019
- Author(s)
  高橋康、工藤桃成、池松泰彦、安田雅哉、横山和弘
- Organizer
  日本応用数理学会2019年年会「数論アルゴリズムとその応用」
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Computing representation matrices for the Frobenius on cohomology groups2019
- Author(s)
  Kudo Momonari
- Organizer
  Effective Methods in Algebraic Geometry (MEGA2019)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Superspecial curves of genera four and five2019
- Author(s)
  工藤桃成
- Organizer
  第6回代数幾何学研究集会-宇部-
- Invited
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Algebraic approaches for solving isogeny problems of prime power degrees2019
- Author(s)
  Yasushi Takahashi, Momonari Kudo, Yasuhiko Ikematsu, Masaya Yasuda, Kazuhiro Yokoyama
- Organizer
  MathCrypt 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Superspecial Hyperelliptic Curves of Genus 4 over Small Finite Fields2018
- Author(s)
  Kudo Momonari、Harashita Shushi
- Organizer
  International Workshop on the Arithmetic of Finite Fields (WAIFI2018)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21026
[Presentation] Superspecial Trigonal Curves of Genus 52018
- Author(s)
  工藤桃成、原下秀士
- Organizer
  日本応用数理学会2018年年会「数論アルゴリズムとその応用」(JANT) セッション
- Data Source
  KAKENHI-PROJECT-19K21026

1. 安田雅哉

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
2. 原下秀士

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
3. 高島克幸

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

kudo momonari 工藤 桃成

Kudo Momonari 工藤 桃成

Research Projects

Research Products

Co-Researchers

Study on supersingular curves and their moduli spaces via computational algebraic geometry and its applications to cryptographyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

計算代数手法に基づく正標数の代数曲線に関する研究の深化と暗号応用への展望Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on special algebraic curves over fields of positive characteristic via computer algebraPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Introduction to algebraic approaches for solving isogeny path-finding problems2022

Author(s)

Journal Title

Data Source

[Journal Article] Introduction to Computational Algebraic Geometry2022

Author(s)

Journal Title

Data Source

[Journal Article] Solving the constructive Deuring correspondence via the Kohel-Lauter-Petit-Tignol algorithm2022

Author(s)

Journal Title

Data Source

[Journal Article] Counting isomorphism classes of superspecial curves2022

Author(s)

Journal Title

Data Source

[Journal Article] Implementation report of the Kohel-Lauter-Petit-Tignol algorithm for the constructive Deuring correspondence2021

Author(s)

Journal Title

Data Source

[Journal Article] Algebraic approaches for solving isogeny problems of prime power degrees2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Computing representation matrices for the action of Frobenius on cohomology groups2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Automorphism groups of superspecial curves of genus 4 over F112020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hybrid Meet-in-the-Middle Attacks for the Isogeny Path-Finding Problem2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The existence of supersingular curves of genus 4 in arbitrary characteristic2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Algorithms to enumerate superspecial Howe curves of genus 42020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Superspecial trigonal curves of genus 52020

Author(s)

Journal Title

Data Source

[Journal Article] Computational approach to enumerate non-hyperelliptic superspecial curves of genus 42020

Author(s)

Journal Title

kudo momonari 工藤桃成

Kudo Momonari 工藤桃成