FUMIYUKI Momose 百瀬文之

… Alternative Names

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 / Geometry / Communication/Network engineering / 解析学 / 情報通信工学 / Algebra / Fundamental theory of informatics
Keywords	Principal Investigator 楕円暗号 / 超楕円暗号 / Weil restriction / 公開鍵暗号 / 被覆曲線による攻撃法 / 楕円曲線 / 超楕円曲線 / Wei restriction / モジュラリティ予想 / モジュライ … More Except Principal Investigator Kummer理論 / 群スキーム / Witt vector / 楕円暗号 / Witt群 / Artin-Schreier / Kummer / Artin-Schreier-Witt理論 / Kummer theory / group scheme / 超楕円暗号 / 安全性解析 / 情報セキュリティ / Weil descent攻撃 / GHS攻撃 / 代数曲線 / ウィット群 / Group scheme / Artin-Hasse / Artin-Schreier-Witt theory / 群スキームの拡大 / 代数群 / Artin-Hasse exponential series / fppf cohomology / etale cohomology / 接触構造 / シンプレクティク構造 / 葉層構造 / Anosov流 / 絡み2次形式 / 体積保存流 / ゼータ関数 / 凸錐体 / 暗号理論 / Weil decent攻撃 / Weil restriction / スペクトラム / ラプラシアン / リ-マン多様体 / 局所対称性 / reduced(Bochner)ラプラシアン / generalizedラプラシアン / アインシュタイン / p-形式 / リーマン多様体 / 粘性解 / 退化楕円型偏微分方程式 / 最適制御 / 微分ゲーム / ベルマン方程式 / 非線形偏微分方程式 / ハミルトン・ヤコビ・ベルマン方程式 / 退化楕円型方程式 / 微分ゲ-ム / 退化楕円形方程式 / Viscosity Solutions / Degenerate Elliptic Partial Differential Equations / Optimal Control / Hamilton-Jacobi Equations / Mean Curvature Flow / クンマー-アルティン-シュライア-理論 / 巡回拡大 / クンマー理論 / アルティン-シュライア-理論 / artin-Schreier-Witt理論 / algebraic curve / extension / Artin-Schreir Witt理論 / 変形群スキーム / 拡大群 / Artin-Schrecer-Wittl理論 / Witt vectors / extension group / 暗号 / 公開鍵暗号系 / 離散対数問題 / 有限体 / 公聞鍵暗号系 / 楕円曲線 / Information security / Cryptosystems / Public key cryptosystems / Elliptic cryptosystems / Discrete logarithm problem / Finite fields / Wittベクトル / Artin-Hasse指数関数 / Cartier加群 / Arti-Hasse指数関数 / Canties加群 / 群スキームの変形 / Artin-Scheme-Witt theory / Artin-hasse exponential series / extension of group schemes / Cartier module / Artin-Hasse exponential serie / 形式群 / Cartier理論 / Artin-Hasse exponention series / Kummer Theory / algebraic group / formal group / Cartier theory / 群scheme / Artin-Schreier理論 / Kummer-Artin-Schreier理論 / twisted Kummer理論 / equivariant compactification / 生成多項式 / Artin-Schreier theory / Kummer-Artin-Schreier theory / twisted Kummer theory / 高速加算アルゴリズム / Weil descent 攻撃 / Weil descent attack / GHS attack / 高速演算 / 位数計算 / Elliptic Curve Crwtosystems / Hverelliptic Curve Cryptosystems / Fast Addition Algorithms / Weil Restriction Attack / GHS Attack / Security Analysis / アルティンーシュライアーウィット理論 / クンマ-理論 / 群スキ-ム / アルティン-シュライア-ウィット理論 / N〓ron blow-up / Witt group / Algebraic curve / Extension 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

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Algebraic points on shimura curvesPrincipal Investigator

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FUMIYUKI Momose 百瀬文之

MOMOSE Fumiyuki 百瀬文之

百瀬文之モモセフミユキ