FUMIYUKI Momose 百瀬文之

… Alternative Names

MOMOSE Fumiyuki 百瀬文之

百瀬文之モモセフミユキ

Less

Researcher Number	80182187
External Links
Affiliation (based on the past Project Information) *help	2010: 中央大学, 大学院・理工学研究科, 教授 2004 – 2010: 中央大学, 理工学部, 教授 1994 – 2002: Chuo Univ., Dept.of Math., Professor, 理工学部, 教授 1993: 中央大学, 理工学部, 助教授 1990 – 1991: 中央大学, 理工学部, 助教授 1987: 中央大学, 理工学部, 助教授 1986: 中央大学, 理工学部, 専任講師
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / 代数学・幾何学 / Fundamental theory of informatics / Algebra / 情報通信工学 / 解析学 / Communication/Network engineering / Geometry
Keywords	Principal Investigator isogeny character / algebraic points / Shimura curves / 同種指標 / 代数的点 / 多様体 / QMアーベル多様体 / 同種写像 / 代数的な点 / 志村曲線 … More / Galois representation / GLィイD22ィエD2-type / Abelian variety / Moduli / Modularity Conjecture / QM-curue / (1)-curve / モジュラリティ / モジュラー予想 / ガロア表現 / GL_2型 / アーベル多様体 / モジュライ / モジュラリティ予想 / Wei restriction / 超楕円曲線 / 楕円曲線 / 被覆曲線による攻撃法 / 公開鍵暗号 / Weil restriction / 超楕円暗号 / 楕円暗号 … More Except Principal Investigator Kummer理論 / Witt vector / 群スキーム / group scheme / Kummer theory / Artin-Schreier-Witt理論 / Kummer / Artin-Schreier / Witt群 / 楕円暗号 / etale cohomology / fppf cohomology / Artin-Hasse exponential series / 代数群 / 群スキームの拡大 / Artin-Schreier-Witt theory / Artin-Hasse / Group scheme / ウィット群 / 代数曲線 / GHS攻撃 / Weil descent攻撃 / 情報セキュリティ / 安全性解析 / 超楕円暗号 / Extension / Algebraic curve / Witt group / N〓ron blow-up / アルティン-シュライア-ウィット理論 / 群スキ-ム / クンマ-理論 / アルティンーシュライアーウィット理論 / Security Analysis / GHS Attack / Weil Restriction Attack / Fast Addition Algorithms / Hverelliptic Curve Cryptosystems / Elliptic Curve Crwtosystems / 位数計算 / 高速演算 / GHS attack / Weil descent attack / Weil descent 攻撃 / 高速加算アルゴリズム / twisted Kummer theory / Kummer-Artin-Schreier theory / Artin-Schreier theory / 生成多項式 / equivariant compactification / twisted Kummer理論 / Kummer-Artin-Schreier理論 / Artin-Schreier理論 / 群scheme / Cartier theory / formal group / algebraic group / Kummer Theory / Artin-Hasse exponention series / Cartier理論 / 形式群 / Artin-Hasse exponential serie / Cartier module / extension of group schemes / Artin-hasse exponential series / Artin-Scheme-Witt theory / 群スキームの変形 / Canties加群 / Arti-Hasse指数関数 / Cartier加群 / Artin-Hasse指数関数 / Wittベクトル / Finite fields / Discrete logarithm problem / Elliptic cryptosystems / Public key cryptosystems / Cryptosystems / Information security / 楕円曲線 / 公聞鍵暗号系 / 有限体 / 離散対数問題 / 公開鍵暗号系 / 暗号 / extension group / Witt vectors / Artin-Schrecer-Wittl理論 / 拡大群 / 変形群スキーム / Artin-Schreir Witt理論 / extension / algebraic curve / artin-Schreier-Witt理論 / アルティン-シュライア-理論 / クンマー理論 / 巡回拡大 / クンマー-アルティン-シュライア-理論 / Mean Curvature Flow / Hamilton-Jacobi Equations / Optimal Control / Degenerate Elliptic Partial Differential Equations / Viscosity Solutions / 退化楕円形方程式 / 微分ゲ-ム / 退化楕円型方程式 / ハミルトン・ヤコビ・ベルマン方程式 / 非線形偏微分方程式 / ベルマン方程式 / 微分ゲーム / 最適制御 / 退化楕円型偏微分方程式 / 粘性解 / リーマン多様体 / p-形式 / アインシュタイン / generalizedラプラシアン / reduced(Bochner)ラプラシアン / 局所対称性 / リ-マン多様体 / ラプラシアン / スペクトラム / Weil restriction / Weil decent攻撃 / 暗号理論 / 凸錐体 / ゼータ関数 / 体積保存流 / 絡み2次形式 / Anosov流 / 葉層構造 / シンプレクティク構造 / 接触構造 Less

楕円暗号における被覆を用いた攻撃についてPrincipal Investigator
- Principal Investigator
  
  百瀬文之
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Study on Security Analysis of Elliptic and Hyperelliptic Cryptosystems against Weil Descent Attack
- Principal Investigator
  
  CHAO Jinhui
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Communication/Network engineering
- Research Institution
  Chuo University
Fast implementation and security analysis of hyperelliptic curve cryptosystems
- Principal Investigator
  
  CHAO Jinhui
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Fundamental theory of informatics
- Research Institution
  Chuo University
Around Kummer-Artin-Screier-Witt theories
- Principal Investigator
  
  SUWA Noriyuki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Algebraic points on shimura curvesPrincipal Investigator
- Principal Investigator
  
  MOMOSE Fumiyuki
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Applications of the Kummer-Artin-Schreier-Witt theory to Number Theory and to Algebraic Geometry
- Principal Investigator
  
  SUWA Noriyuki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
On the compactification of Witt group schemes and the deformation of Art theory
- Principal Investigator
  
  SEKIGUCHI Tsutomu
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Modular ConjecturePrincipal Investigator
- Principal Investigator
  
  MOMOSE Fumiyuki
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Research on secure cryptosystems based on elliptic curves
- Principal Investigator
  
  CHAO Jinhu
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  情報通信工学
- Research Institution
  CHUO UNIVERSITY
擬対称領域から生じる第2種尖点の研究
- Principal Investigator
  
  佐武一郎
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
The Kummer-Artin-Schreier-Witt theory and the deformations of the Art theory
- Principal Investigator
  
  SEKIGUCHI Tsutomu
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  CHUO UNIVERSITY
流体力学的不変量による3次元多様体とその上の力学系の研究
- Principal Investigator
  
  MITSUMATSU Yoshihiko
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Chuo University
Deformation theory of group schemes and Construction of extensions
- Principal Investigator
  
  SEKIGUCHI Tsutomu
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  CHUO UNIVERSITY
A study on nonlinear degenerate elliptic partial differential equations
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  CHUO UNIVERSITY
リ-マン多様体のスペクトラムについて
- Principal Investigator
  
  松山善男
- Project Period (FY)
  1988 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Chuo University
On the deformations of cyclic Galoi coverings of algebraic curves
- Principal Investigator
  
  SEKIGUCHI Tsutomu
- Project Period (FY)
  1987 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Chuo University
曲線とその自己同形の標数零への引き上げについて
- Principal Investigator
  
  関口力
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Chuo University

All 2011 2010 2009 2008 2007 2006 2004

All Journal Article Presentation

[Journal Article] Elliptic curves with weak coverings over cubic extensions of finite fields with even characteristic II2011
- Author(s)
  M.Shimura, F.Momose, J.Chao
- Journal Title
  
  Proceedings of SCIS2011,「暗号と情報セキュリティシンポジウム」電子情報通信学会
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic curves with weak coverings over cubic extensions of finite fields with even characteristic II Proceedings of SCIS20112011
- Author(s)
  M.Shimura, F.Momose, J.Chao
- Journal Title
  
  暗号と情報セキュリティシンポジウム(電子情報通信学会)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Classification of Elliptic/hyperelliptic Curves with Weak Coverings against GHS Attack without Isogeny Condition2010
- Author(s)
  T.Iijima, F.Momose, J.Chao
- Journal Title
  
  Proceedings of SCIS2010, IEICE Japan (CD ROM)
- Data Source
  KAKENHI-PROJECT-20540023
[Journal Article] Elliptic curves with weak covering over cubic extensions of finite fields with even characteristic2010
- Author(s)
  M.Shimura, F.Momose, J.Chao
- Journal Title
  
  Proceedings of SCIS2010 (CD ROM)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic curves with weak covering on cubic extension of finite fields with even characteristic Proceedings of SCIS20092010
- Author(s)
  M.Shimura, F.Momose, J.Chao
- Journal Title
  
  暗号と情報セキュリティシンポジウム(電子情報通信学会)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic and hyerelliptic curves with weak covering without isogeny condition2010
- Author(s)
  T.Iijima, F.Momose, J.Chao
- Journal Title
  
  Proceedings of SCIS2010,「暗号と情報セキュリティシンポジウム」電子情報通信学会
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic and hyerelliptic curves with weak covering without isogeny condition Proceedings of SCIS20102010
- Author(s)
  T.Iijima, F.Momose, J.Chao
- Journal Title
  
  暗号と情報セキュリティシンポジウム(電子情報通信学会)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Classification of Elliptic/hyperelliptic Curves with Weak Coverings against GHS Attack without Isogeny Condition2010
- Author(s)
  T.Iijima, F.Momose, J.Chao
- Journal Title
  
  Proceed.Of SCIS2010, IACR eprint : http://eprint.iacr.org/2009/613 (CD ROM)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic curves with weak coverings over cubic extensions of finite fields with odd characteristics2010
- Author(s)
  F.Momose, J.Chao
- Journal Title
  
  IACR eprint archive http://eprint.iacr.org/2009/236 (Eprint)
- Data Source
  KAKENHI-PROJECT-20540023
[Journal Article] Elliptic curves with weak covering on cubic extension of finite fields with even characteristic2010
- Author(s)
  M.Shimura, F.Momose, J.Chao
- Journal Title
  
  Proceedings of SCIS2009,「暗号と情報セキュリティシンポジウム」電子情報通信学会
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic curves with weak covering over cubic extensions of finite fields with even characteristic2010
- Author(s)
  M.Shimura, F.Momose, J.Chao
- Journal Title
  
  Proceedings of SCIS2010, IEICE Japan (CD ROM)
- Data Source
  KAKENHI-PROJECT-20540023
[Journal Article] Classification of Weil Restrictions Obtained by (2, . . ., 2) Coverings of P^1 without Isogeny Condition in Small Genus Cases2009
- Author(s)
  T. Iijima, F. Momose, J. Chao
- Journal Title
  
  Proceedings of SCIS 2009 (CD-ROM)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] 書評"R.Avanzi, C.Doche, T.Lange, K.Nguyen, F.Vercauteren : Handbook of hyperelliptic curve cryptography"2009
- Author(s)
  趙晋輝、松尾和人、百瀬文之
- Journal Title
  
  数学(日本数学会) 第61巻4号
  
  Pages: 433-436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic curves with weak coverings over cubic extensions of finite fields with odd characteristics2009
- Author(s)
  F.Momose, J.Chao
- Journal Title
  
  IACR eprint archive http://eprint.iacr.org/2009/236 (CD ROM)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Classification of Weil Restrictions Obtained by (2,…,2) Coverings of P^1 without Isogeny Condition in Small Genus Cases Proceedings of SCIS20092009
- Author(s)
  T.Iijima, F.Momose, J.Chao
- Journal Title
  
  暗号と情報セキュリティシンポジウム(電子情報通信学会)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Elliptic curves with weak coverings over cubic extensions of finite fields with odd characteristics2009
- Author(s)
  F.Momose, J.Chao
- Journal Title
  
  IACR E-print Archive
  
  Pages: 1-56
- URL
  http://eprint.iacr.org/2009/236
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] R.Avanzi, C.Doche, T.Lange, K.Nguyen and F.Vercauteren : Handbook of hyperelliptic curve cryptography 書評2009
- Author(s)
  趙晋輝, 松尾和人, 百瀬文之
- Journal Title
  
  数学 61
  
  Pages: 433-436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Classification of elliptic/hyperelliptic curves with weak coverings against GHS attack without isogeny condition2009
- Author(s)
  T.Iijima, F.Momose, J.Chao
- Journal Title
  
  IACR E-print Archive
  
  Pages: 1-32
- URL
  http://eprint.iacr.org/2009/613
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] 「奇標数3次拡大体上の楕円曲線暗号に対するGHS攻撃の実装」Proceedins of SCIS20082008
- Author(s)
  橋詰直紀、百瀬文之、趙晋輝
- Journal Title
  
  暗号と情報セキュリティシンポジウム(電子情報通信学会)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] On Certain Classes of Elliptic/Hyper-elliptic Curves with Weak Coverings against GHS Attack Proceedings of SCIS20082008
- Author(s)
  T.Iijima, F.Momose, J.Chao
- Journal Title
  
  暗号と情報セキュリティシンポジウム(電子情報通信学会)
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] On Certain Classes of Elliptic/Hyper-elliptic Curves with Weak Coverings against GHS Attack2008
- Author(s)
  Tsutomu lijima, Fumiyuki Momose, Jinhui Chao
- Journal Title
  
  Proceedings of SCIS2008
- Data Source
  KAKENHI-PROJECT-17500010
[Journal Article] 奇標数3次拡大体上の楕円曲線暗号に対するGHS攻撃の実装2008
- Author(s)
  橋詰直紀、百瀬文之、趙晋輝
- Journal Title
  
  Proceedings of SCIS2008
- Data Source
  KAKENHI-PROJECT-17500010
[Journal Article] On Implementation of GHS Attack against Elliptic Curve Cryptosystems over Cubic Extension Fields of Odd Characteristics2008
- Author(s)
  N.Hashizume, F.Momose, J.Chao
- Journal Title
  
  IACR E-print Archive
  
  Pages: 1-34
- URL
  http://eprint.iacr.org/2008/215
- Data Source
  KAKENHI-PROJECT-20560370
[Journal Article] Schorten Form and Elliptic/hyperelliptic curves with weak Weil descent2006
- Author(s)
  Fumiyuki Momose, Jinhui Chao
- Journal Title
  
  Proceedings of SCIS2006 (CD-ROM)
- Data Source
  KAKENHI-PROJECT-17500010
[Journal Article] Classification of (2, 2,.., 2) coverings obtained fromn Weil restriction of P12006
- Author(s)
  F.Momose, C.Chao
- Journal Title
  
  暗号と情報セキュリティシンポジウムSCI2007論文集(CDROM)
- Data Source
  KAKENHI-PROJECT-17500010
[Journal Article] Degree two Weil restrictions of elliptic curves over finite fields (II)2004
- Author(s)
  Fumiyuki Momose
- Journal Title
  
  Proceedings of 2004 Workshop on Cryptography and Related Mathematics
  
  Pages: 109-116
- Data Source
  KAKENHI-PROJECT-16540041
[Presentation] 奇標数3次拡大体上の楕円曲線暗号に対するGHS攻撃の実装2008
- Author(s)
  橋詰直紀, 百瀬文之, 趙晋輝
- Organizer
  Proceedins of SCIS2008
- Place of Presentation
  宮崎
- Year and Date
  2008-01-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17500010
[Presentation] On Certain Classes of Elliptic/Hyper-elliptic Curves with Weak Coverings against GHS Attack2008
- Author(s)
  Tsutomu Iijima, Fumiyuki Momose, Jinhui Chao
- Organizer
  Proceedins of SCIS2008
- Place of Presentation
  宮崎
- Year and Date
  2008-01-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17500010
[Presentation] Classification of Weil restrictions obtained by (2,.,2) coverings of P12007
- Author(s)
  百瀬文之, 趙晋輝
- Organizer
  Proceedings of SCIS2007
- Place of Presentation
  長崎
- Year and Date
  2007-01-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17500010
[Presentation] On Schorten forms and elliptic/hyperelliptic curves with weak Weil restriction2006
- Author(s)
  Fumiyuki Momose, Jinhui Chao
- Organizer
  Proceedings of SCIS2006
- Place of Presentation
  広島
- Year and Date
  2006-01-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17500010

1. SEKIGUCHI Tsutomu (70055234)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
2. MATSUYAMA Yoshio (70112753)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. MITSUMATSU Yoshihiko (70190725)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
4. KURIBAYASHI Akikazu (40055033)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. SATAKE Ichirou (00133934)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. ISHII Hitoshi (70102887)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. IWANO Masahoro (70087013)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. SUWA Noriyuki (10196925)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. CHAO Jinhui (60227345)

# of Collaborated Projects: 3 results

# of Collaborated Products: 26 results
10. SEKINO Kaoru (40054994)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. AOKI Kazuyoshi (50055159)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. YAMAMOTO Makoto (10158305)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. TSUJII Shigeo (50020350)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. TOKIZAWA Masamichi (50055117)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. HASEGAWA Yuji (30287982)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. HASHIMOTO Ki-ichirou (90143370)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. SHIMURA Mahoro (30308209)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. MATSUO Kazuto

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

FUMIYUKI Momose 百瀬 文之

MOMOSE Fumiyuki 百瀬 文之

百瀬 文之 モモセ フミユキ

Research Projects

Research Products

Co-Researchers

楕円暗号における被覆を用いた攻撃についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Algebraic points on shimura curvesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Modular ConjecturePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

FUMIYUKI Momose 百瀬文之

MOMOSE Fumiyuki 百瀬文之

百瀬文之モモセフミユキ