Homma Masaaki 本間正明

… Alternative Names

HONMA Masaaki 本間正明

本間正明ホンママサアキ

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Researcher Number	80145523
Other IDs	https://orcid.org/0000-0003-4568-6408
External Links
Affiliation (Current)	2024: 神奈川大学, 公私立大学の部局等, 教授
Affiliation (based on the past Project Information) *help	2012 – 2017: 神奈川大学, 理学部, 教授 2014: 神奈川大学, 工学部, 教授 1998 – 2011: 神奈川大学, 工学部, 教授 1994 – 1996: 神奈川大学, 工学部, 教授 1993: 山口大学, 教育学部, 教授 … More 1990 – 1991: 山口大学, 教育学部, 教授 1989: 琉球大学, 理学部, 助教授 1988: 琉球大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Fundamental theory of informatics / 代数学・幾何学 Except Principal Investigator Algebra / Basic analysis / Algebra / Basic analysis / 代数学・幾何学 / 解析学
Keywords	Principal Investigator 代数曲線 / 有限体 / Weierstrass pair / 代数曲線符号 / Weierstrass点 / Hermitian曲線 / 国際研究者交流 / Sziklai予想 / 符号理論 / 正標数 … More / Hermitian Curve / 誤り訂正符号 / AG Code / Error correcting Code / Special Divisor / Algebraic Curve / 代数幾何符号 / Gonality / 特殊因子 / 代数学 / 射影代数幾何 / 超曲面 / 射影空間 / 韓国 / 国際情報交換 / 平面曲線 / 平面代数曲線 / 有理点 / Hermitian超曲面 / Hermitian curve / Positive characteristic / Finite field / Coding theory / Algebraic curve / Algebraic geometry / Goppa符号 / 代数曲線論 / 情報基礎 / Positive Characteristic / Minimum distance / Two-point code / A Gcode / Error correcting code / 設計距離 / 大韓民国 / 最小距離 / 2点符号 / ブラジル:韓国 / Castelnuovo's bound / 特殊線形系 / Weierstrass Pair / 符号 / 特異因子 / 誤まり訂正符合 / 誤まり訂正符号 / 「国際研究者交流」ブラジル / 「国際情報交換」韓国，アメリカ合衆国 / 国際研究者交流　韓国，ブラジル / 有限幾何 / 代数幾何学 / 国際情報交換（韓国） / 代数曲面 / 代数多様体 / アメリカ合衆国 / ブラジル / 韓国;ブラジル;アメリカ合衆国 / 有理点の個数 / 国際情報交換(韓国) / 国際研究者交流(韓国) / 韓国,ブラジル / 射影平面 / 代数幾何 / Reed-Muller Code / Simplex Code / Hamming Weight / 線形符号 / 特異代数曲線 / nucleus of A conic / strange曲線 / 標数2 / 6点の配置 / Fermat Cubic Surface / Cubic Surface / Weirstrass Pair / Weierstrass半群 / gap列 / order列 / linear system / 正標数体 / Pーlinear map / Strange variety / Tangent variety / Strict dual curve / nonreflexive curve / Dual curve … More Except Principal Investigator 代数曲線 / gonality / 特殊線形系 / 閉リーマン面 / Algebraic Curve / 有理型函数 / 誤り訂正符号理論 / Brill-Nother理論 / error-correcting coding theory / meromorphic functions / algebraic curves / compact Riemann surfaces / 代数幾何 / linear systems / Brill-Nother Theory / Special Linear System / Brill-Noether理論 / Weierstrass点 / 自己同型群 / 線形系 / 連続率 / 羽リーマン面 / BrilI-Nother理論 / 代数曲面 / birational transformation / function field / ramified covering / Galois embedding / automorphism group / Galois group / Galois line / space algebraic curve / アーベル曲面 / 双有理変換 / 関数体 / 被覆多様体 / ガロワ埋め込み / ガロワ群 / ガロワ直線 / 空間代数曲線 / special linear system / Brill-Noether Theory / Fermat曲線 / Line Bundle / Linear System / 線形束 / Weierstrass point / normal generation / Brill-Noether theory / meromorphic function / algebraic curve / compact Riemann surface / ブリル・ネーター理論 / リーマン面 / Weierstrass 点 / 正規生成性 / Brill-Noether 理論 / 絶対モーメント / Lagrangian / CR-構造 / Appell微分方程式 / 無限次元リー起群 / 不変微分型式 / 代数群のコホモロジー / クリフォード指数 / コクセター群 / ガロア点 / ワイアシュトラス半群 / ブリル＝ネーター理論 / ブリル=ネーター理論 / hyperelliptic / bielliptic / ブリルニネーター理 / ブリル=ネーター理 / Appnoximate Shape / 次元 / ハウスドルフ次元 / フラグタル / Shape / Loeb測度 / 観測理論 / 孤立特異点 / ファイバ-空間 / ベ-タ分布 / nonreflexive variety / 近似の飽和 Less

Projective geometry over finite fields and its applications to coding theoryPrincipal Investigator
- Principal Investigator
  
  Homma Masaaki
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
Linear Systems on Algebraic Curves and its Applications
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Algebraic curves over finite fields and their applications to coding theory and finite geometryPrincipal Investigator
- Principal Investigator
  
  Homma Masaaki
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
Linear Systems and Projective Models on Algebraic Curves
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
A study of algebraic curves from viewpoints of the coding theory and the finite geometryPrincipal Investigator
- Principal Investigator
  
  HOMMA Masaaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
Linear Systems on Algebraic Curves and its Applications
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Combinatorial algebraic geometry over a finite field and its applicationPrincipal Investigator
- Principal Investigator
  
  HOMMA Masaaki
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
Special linear systems on compact Riemann surfaces
- Principal Investigator
  
  KATO Takao
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamaguchi University
Algebraic Curves and its Applications
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Theory of algebraic curves motivated by coding theoryPrincipal Investigator
- Principal Investigator
  
  HOMMA Masaaki
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
Special linear systems on Riemann surfaces
- Principal Investigator
  
  KATO Takao
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamaguchi University
Error correcting codes from the viewpoints of algebraic curves and finite geometryPrincipal Investigator
- Principal Investigator
  
  HOMMA Masaaki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Fundamental theory of informatics
- Research Institution
  Kanagawa University
Research on space curve and its Galois line
- Principal Investigator
  
  YOSHIHARA Hisao
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Niigata University
Special Linear System on an Algebraic Curve and its Application
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Special linear systems on compact Riemann surfaces
- Principal Investigator
  
  KATO Takao
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamaguchi University
Special Linear Systems on Algebraic Curves
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Theory of algebraic curves with application toward the coding theoryPrincipal Investigator
- Principal Investigator
  
  HOMMA Masaaki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
Meromorphic functions on compact Riemann surfaces
- Principal Investigator
  
  KATO Takao
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamaguchi University
Special Linear Linear Systems on Algebraic Curves
- Principal Investigator
  
  OBBUCHI Akira
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Meromorphic functions on Riemann surfaces, Weierstrass points
- Principal Investigator
  
  KATO Takao
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Yamaguchi University
Study of function fields with particular properties, and its application to coding theoryPrincipal Investigator
- Principal Investigator
  
  HOMMA Masaaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
特異代数曲線の応用としての符号理論Principal Investigator
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
代数幾何の応用としてのコード理論Principal Investigator
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
有限体上の代数曲線論のcoding theoryへの応用Principal Investigator
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
正標数体上のTangencyとDualityPrincipal Investigator
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamaguchi University
shape理論の研究
- Principal Investigator
  
  WATANABE Tadashi
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Yamaguchi University
正標数体上の射影多様体のTangencyとDualityPrincipal Investigator
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Yamaguchi University
近似法とその応用
- Principal Investigator
  
  西白保敏彦
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of the Ryukyus
幾何にあらわれる群
- Principal Investigator
  
  中里治男
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of the Ryukyus

All 2017 2016 2015 2013 2012 2011 2010 2009 2007 2006 2005 2004 Other

All Journal Article Presentation

[Journal Article] On a number of rational points on a plane curve of low degree2017
- Author(s)
  Eun Ju Cheon, Masaaki Homma, Seon Jeong Kim, and Namyong Lee
- Journal Title
  
  Discrete Mathematics
  
  Volume: 340 Issue: 6 Pages: 1327-1334
- DOI
  10.1016/j.disc.2017.01.017
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04829
[Journal Article] Points on singular Frobenius nonclassical curves2017
- Author(s)
  Herivelto Borges, and Masaaki Homma
- Journal Title
  
  Bulletin of the Brazilian Mathematical Society
  
  Volume: 48 Issue: 1 Pages: 93-101
- DOI
  10.1007/s00574-016-0008-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04829
[Journal Article] Number of points of a nonsingular hypersurface in an odd-dimensional projective space2017
- Author(s)
  Masaaki Homma and Seon Jeong Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 48 Pages: 395-419
- DOI
  10.1016/j.ffa.2017.08.011
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04829
[Journal Article] The characterization of Hermitian surfaces by the number of points2016
- Author(s)
  Masaaki Homma and Seon Jeong Kim
- Journal Title
  
  Journal of Geometry
  
  Volume: 107 Issue: 3 Pages: 509-521
- DOI
  10.1007/s00022-015-0283-1
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04829
[Journal Article] Numbers of points of hypersurfaces without lines over finite fields2015
- Author(s)
  Masaaki Homma
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 632 Pages: 151-156
- DOI
  10.1090/conm/632/12626
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540056
[Journal Article] Numbers of points of surfaces in the projective 3-space over finite fields2015
- Author(s)
  Masaaki Homma and Seon Jeong Kim
- Journal Title
  
  Finite fields and their applications
  
  Volume: 35 Pages: 52-60
- DOI
  10.1016/j.ffa.2015.03.004
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540056
[Journal Article] Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: supplements to a work of Tallini2013
- Author(s)
  M. Homma, S. J. Kim
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 438 Issue: 3 Pages: 969-985
- DOI
  10.1016/j.laa.2012.08.032
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540056
[Journal Article] An elementary bound for the number of points of a hypersurface over a finite field2013
- Author(s)
  M. Homma and S. J. Kim
- Journal Title
  
  Finite Fields Appl.
  
  Volume: 20 Pages: 76-83
- DOI
  10.1016/j.ffa.2012.11.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540056
[Journal Article] Rational curves with many rational points over a finite field2012
- Author(s)
  Satoru Fukasawa, Masaaki Homma and Seon Jeong Kim
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 574 Pages: 37-48
- DOI
  10.1090/conm/574/11420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740001, KAKENHI-PROJECT-24540056
[Journal Article] A bound on the number of points of a curve in a projective space over a finite field2012
- Author(s)
  M. Homma
- Journal Title
  
  Contemp. Math
  
  Volume: 579 Pages: 103-110
- DOI
  10.1090/conm/579/11523
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540056
[Journal Article] The uniqueness of a plane curve of degree q attaining Sziklai's bound over F_q2012
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 18・3 Issue: 3 Pages: 567-580
- DOI
  10.1016/j.ffa.2011.12.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] The uniqueness of a plane curve of degree q attaining Sziklai's bound over Fq2012
- Author(s)
  M. Homma and S. J. Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 18 Pages: 567-580
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] Toward determination of optimal plane curves with a fixed degree over a finite field2011
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 17・3 Issue: 3 Pages: 240-253
- DOI
  10.1016/j.ffa.2010.12.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] Toward determination of optimal plane curves with a fixed degree over a finite field2011
- Author(s)
  M. Homma and S. J. Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 17 Pages: 240-253
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] Sziklai's conjecture on the number of points of a plane curve over a finite field II2010
- Author(s)
  M. Homma and S. J. Kim
- Journal Title
  
  Finite Fields : Theory and Applications(Contemporary Mathematics 518) AMS
  
  Pages: 225-234
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] Sziklai's conjecture on the number of points of a plane curve over a finite field II2010
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 518 Pages: 225-234
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] Szildai's conjecture on the number of points of a plane curve over a finite field III2010
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 16 Pages: 315-319
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] Sziklai's conjecture on the number of points of a plane curve over a finite field III2010
- Author(s)
  M. Homma and S. J. Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 16 Pages: 315-319
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] Around Sziklai's conjecture on the number of points of a plane curve over a finite field2009
- Author(s)
  M. Homma and S. J. Kim
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 15 Pages: 468-474
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] The second generalized Hamming weight for two-point codes on a Hermitian curve2009
- Author(s)
  M. Homma, s. J. Kim
- Journal Title
  
  Designs, Codes and Cryptography 50
  
  Pages: 1-40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540058
[Journal Article] Around Sziklai's conjecture on the number of points of a plane curve over a finite field2009
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Finite Fields and Their Applications 15
  
  Pages: 468-474
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540051
[Journal Article] The second generalized Hamming weight for two-point codes on a Hermitian curve, Designs2009
- Author(s)
  M. Homma and S.J. Kim
- Journal Title
  
  Codes and Cryptography 50
  
  Pages: 1-40
- URL
  http://www.springerlink.com/content/l8175uw825081t7w/
- Data Source
  KAKENHI-PROJECT-19540058
[Journal Article] The Galois group of a projection of a Hermitian curve2007
- Author(s)
  M. Homma
- Journal Title
  
  Int. J. Algebra 1
  
  Pages: 563-585
- NAID
  120002648310
- URL
  http://www.m-hikari.com/ija/ija-password-2007/ija-password9-12-2007/hommaIJA9-12-2007.pdf
- Data Source
  KAKENHI-PROJECT-19540058
[Journal Article] The two-point codes on a Hermitian curve with the designed minimum distance2006
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography 38
  
  Pages: 55-81
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] The two-point codes with the designed distance on a Hermitian curve in even characteristic2006
- Author(s)
  Homma, M., Kim, S.
- Journal Title
  
  Des.Codes Cryptogr. 39
  
  Pages: 375-386
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540160
[Journal Article] The two-point codes with the designed distance on a Hermitian curve in even characteristic2006
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography 39
  
  Pages: 375-386
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] A semigroup at a pair of Weierstrass points on a cyclic 4-gonal curve and a bielliptic curve2006
- Author(s)
  M.Homma, S.J.Kim, J.Komeda
- Journal Title
  
  J. Algebra 305
  
  Pages: 1-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] Galois points for a Hermitian curve2006
- Author(s)
  M.Homma
- Journal Title
  
  Comm. Algebra 34
  
  Pages: 4503-4511
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] The complete determination of the minimum distance of two-point codes on a Hermitian curve2006
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography 40
  
  Pages: 5-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] The complete determination of the minimum distance of two-point codes on a Hermitian curve2006
- Author(s)
  Homma, M., Kim, S.
- Journal Title
  
  Des. Codes Cryptogr. 40
  
  Pages: 5-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540160
[Journal Article] A semigroup at a pair of Weierstrass points on a cyclic 4-gonal curve and a bielliptic curve2006
- Author(s)
  M.Homma, S.J.Kim, J.Komeda
- Journal Title
  
  J. Algebra 306
  
  Pages: 1-17
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] The two-point codes with the designed distance on a Hermitian curve in even characteristic2006
- Author(s)
  Homma, M., Kim, S.
- Journal Title
  
  Des. Codes Cryptogr. 39
  
  Pages: 375-386
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540160
[Journal Article] The complete determination of the minimum distance of two-point codes on a Hermitian curve2006
- Author(s)
  Homma, M., Kim, S.
- Journal Title
  
  Des.Codes Cryptogr. 40
  
  Pages: 5-24
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540160
[Journal Article] Toward the Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve2005
- Author(s)
  Homma, M., Kim, S.
- Journal Title
  
  Des.Codes Cryptogr. 37
  
  Pages: 111-132
- Data Source
  KAKENHI-PROJECT-17540160
[Journal Article] Hermitian曲線の幾何と符号2005
- Author(s)
  本間正明
- Journal Title
  
  数理解析研究所講究録 1420
  
  Pages: 106-116
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15500017
[Journal Article] The Two-Point Codes on a Hermitian Curve with the Designed Minimum Distance2005
- Author(s)
  Homma, M., Kim, S.
- Journal Title
  
  Des.Codes Cryptogr. 38
  
  Pages: 55-81
- Data Source
  KAKENHI-PROJECT-17540160
[Journal Article] Toward the determination of the minimum distance of two-point codes on a Hermitian curve2005
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography 37
  
  Pages: 111-132
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] Toward the determination of the minimum distance of two-point codes on a Hermitian curve2005
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and. Cryptography 37
  
  Pages: 111-132
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] Hermitian曲線上の$2$点符号(予報)2004
- Author(s)
  本間正明
- Journal Title
  
  数理解析研究所講究録 1361
  
  Pages: 152-161
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15500017
[Journal Article] Toward the determination of the minimum distance of two-point codes on a Hermitian curve
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography (to appear)
- Data Source
  KAKENHI-PROJECT-15500017
[Journal Article] Galois points for a Hermitian curve
- Author(s)
  M.Homma
- Journal Title
  
  Comm.Algebra to appear
- Data Source
  KAKENHI-PROJECT-17540045
[Journal Article] The two-point codes on a Hermitian curve with the designed minimum distance
- Author(s)
  Homma, M., S.J.Kim
- Journal Title
  
  Des.Codes Cryptogr. (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540173
[Journal Article] The two-point codes on a Hermitian curve with the designed minimum distance
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15500017
[Journal Article] The two-point codes on a Hermitian curve with the designed minimum distance
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15500017
[Journal Article] The two-point codes on a Hermitian curve with the designed minimum distance
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography (to appear)
- Data Source
  KAKENHI-PROJECT-15500017
[Journal Article] The two-point codes on a Hermitian curve with the designed minimum distance
- Author(s)
  Homma, M., S.J.Kim
- Journal Title
  
  Des.Codes Cryptogr. (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540173
[Journal Article] Toward the determination of the minimum distance of two-point codes on a Hermitian curve
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15500017
[Journal Article] Toward the determination of the minimum distance of two-point codes on a Hermitian curve
- Author(s)
  M.Homma, S.J.Kim
- Journal Title
  
  Designs, Codes and Cryptography (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15500017
[Presentation] A bound for the number of lines lying on a non-singular surface in 3-space over a finite field2016
- Author(s)
  Masaaki Homma
- Organizer
  International Workshop on the Arithmetic of Finite Fields
- Place of Presentation
  Ghent, Belgium
- Year and Date
  2016-07-13
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04829
[Presentation] An Analogue of a Theorem of Tallini on Plane Curves over Finite Fields2015
- Author(s)
  Masaaki Homma
- Organizer
  Arithmetique, Geometrie, Cryptographie et Theorie des Codes
- Place of Presentation
  CIRM，Franch
- Year and Date
  2015-05-18
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04829
[Presentation] Another generalization of the Sziklai bound2013
- Author(s)
  Masaaki Homma
- Organizer
  The 11th International Conference on Finite Fields and their Applications
- Place of Presentation
  the Otto-von-Guericke University, Magdeburg, Germany
- Data Source
  KAKENHI-PROJECT-24540056
[Presentation] The characterization of Hermitian surfaces by the number of points2013
- Author(s)
  Masaaki Homma
- Organizer
  14th Arithmetic, Geometry, Cryptography and Coding Theory
- Place of Presentation
  CIRM, Luminy, France
- Data Source
  KAKENHI-PROJECT-24540056
[Presentation] Numbers of points of surfaces in P^3 over F_q2013
- Author(s)
  Masaaki Homma
- Organizer
  AGCT-13
- Place of Presentation
  IIT Bombay, Mumbai, India
- Invited
- Data Source
  KAKENHI-PROJECT-24540056
[Presentation] An elementary bound for the number of points of a hypersurface over a finite field2012
- Author(s)
  M. Homma
- Organizer
  Combinatorics2012
- Place of Presentation
  Centro Congressi Hotel Gio;, Perugia, Italy
- Data Source
  KAKENHI-PROJECT-24540056
[Presentation] Rational curves with many rational points over a finite field, Conference on Arithmetic2011
- Author(s)
  Masaaki Homma
- Organizer
  Geometry and Coding Theory
- Place of Presentation
  CIRM, Marseille, France
- Year and Date
  2011-03-14
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] A bound on the number of points of a curve in projective space over a finite field2011
- Author(s)
  Masaaki Homma
- Organizer
  The 10th International Conference on Finite Fields and their Applications
- Place of Presentation
  Ghent(ベルギー)
- Year and Date
  2011-07-15
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] A bound on the number of points of a curve in projective space over a finite field2011
- Author(s)
  Masaaki Homma
- Organizer
  The 10th International Conference on Finite Fields and their Applications
- Place of Presentation
  University of Ghent, Ghent, Belgium
- Year and Date
  2011-07-15
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] Sziklai conjecture on the number of points of a plane curve over a finite field2010
- Author(s)
  Masaaki Homma
- Organizer
  10th ALGA Meeting
- Place of Presentation
  IMPA, Rio de Janeiro, Brazil
- Year and Date
  2010-07-07
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] On the number of points of plane curves over a finite field with many points and Sziklai's conjecture2010
- Author(s)
  Masaaki Homma
- Organizer
  Workshop : Coding Theory and Geometry
- Place of Presentation
  Colorado State University, Fort Collins, Colorado, USA
- Year and Date
  2010-08-05
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] Sziklai conjecture on the number of points of a plane curve over a fini to field2010
- Author(s)
  Masaaki Homma
- Organizer
  10th ALGA Meeting
- Place of Presentation
  IMPA, Brazil
- Year and Date
  2010-07-07
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] On the number of points of plane curves over a finite field with many points and Sziklai's conjecture2010
- Author(s)
  Masaaki Homma
- Organizer
  Workshop : Coding Theory and Geometry
- Place of Presentation
  Colorado State University, Fort Collins, USA?
- Year and Date
  2010-08-05
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] Plane optimal curves and their Galois points2009
- Author(s)
  本間正明
- Organizer
  Workshop on Galois points and related topics
- Place of Presentation
  神奈川大学富士見高原研修所
- Year and Date
  2009-06-05
- Data Source
  KAKENHI-PROJECT-19540186
[Presentation] On the number of points of plane curve over a nite eld2009
- Author(s)
  Masaaki Homma
- Organizer
  XVIII Latin American Algebra Colloquium
- Place of Presentation
  S~ao Pedro, Brazil
- Year and Date
  2009-08-03
- Data Source
  KAKENHI-PROJECT-19540186
[Presentation] A study of the rationalpoints of a plane curve with a conjecture of Sziklai2009
- Author(s)
  Masaaki Homma
- Place of Presentation
  Divan Talya Hotel, Antalya, Turkey
- Year and Date
  2009-09-15
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] A study of the rational points of a plane curve with a conjecture of Sziklai2009
- Author(s)
  M.Homma
- Organizer
  Workshop on sequences, codes and curves
- Place of Presentation
  Antalya, Turkey
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-21540051
[Presentation] 有限体上の射影平面を覆う非特異代数曲線2007
- Author(s)
  本間正明
- Organizer
  日本数学会代数分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-22
- Data Source
  KAKENHI-PROJECT-19540058
[Presentation] Numbers of lines on surfaces in the projective 3-space over finite fields
- Author(s)
  Masaaki Homma
- Organizer
  JCCA2014
- Place of Presentation
  文部科学省研究交流センター
- Year and Date
  2014-08-25 – 2014-08-29
- Data Source
  KAKENHI-PROJECT-24540056
[Presentation] Numbers of lines on surfaces in the projective 3-space over finite fields
- Author(s)
  本間正明
- Organizer
  Workshop on Galois point and related topics
- Place of Presentation
  滋賀大学大津サテライトプラザ
- Year and Date
  2014-09-13 – 2014-09-15
- Data Source
  KAKENHI-PROJECT-24540056
[Presentation] {Numbers of points of surfaces in the projective 3-space over finite fields
- Author(s)
  Masaaki Homma
- Organizer
  Combinatorics2014
- Place of Presentation
  Hotel Serapo
- Year and Date
  2014-06-02 – 2014-06-06
- Data Source
  KAKENHI-PROJECT-24540056

1. OHBUCHI Akira (10211111)

# of Collaborated Projects: 17 results

# of Collaborated Products: 0 results
2. KATO Takao (10016157)

# of Collaborated Projects: 16 results

# of Collaborated Products: 0 results
3. YONEDA Jiryo (90162065)

# of Collaborated Projects: 9 results

# of Collaborated Products: 2 results
4. MASUMOTO Makoto (50173761)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. YANAGIHARA Hiroshi (30200538)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. WATANABE Tadashi (10107724)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. KASHIWAGI Yoshimi (00152637)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. YOSHIHARA Hisao (60114807)

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9. MIURA Kei (50353321)

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10. TAKAHASHI Takeshi (60390431)

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11. YANAGI Kenjiro (90108267)

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12. ISHII Naonori (10339252)

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13. 西白保敏彦 (70044956)

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14. 加藤満生 (50045043)

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16. 志賀博雄 (40128484)

# of Collaborated Projects: 2 results

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18. 河津清 (70037258)

# of Collaborated Projects: 2 results

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19. 酒井一博 (30205702)

# of Collaborated Projects: 2 results

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20. 阿部吉弘 (10159452)

# of Collaborated Projects: 2 results

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21. 信太正之 (20271364)

# of Collaborated Projects: 2 results

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22. 山田敬吾 (90111369)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. SAKAI Fumio (40036596)

# of Collaborated Projects: 1 results

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24. MATSUNO Yoshimasa (30190490)

# of Collaborated Projects: 1 results

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25. SHIBA Masakazu (70025469)

# of Collaborated Projects: 1 results

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26. ITO Hiroshi (30168372)

# of Collaborated Projects: 1 results

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27. AKIYAMA Shigeki (60212445)

# of Collaborated Projects: 1 results

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28. TOKUNAGA Hiro-o (30211395)

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29. KOJIMA Hideo (90332824)

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30. KUWATA Masato (00343640)

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31. KONNO Kazuhiro (10186869)

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32. NAMBA Makoto (60004462)

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33. KURIYAMA Ken (10116717)

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34. 松本修一 (20145519)

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35. 西岡道夫 (30035141)

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36. 安藤良文 (80001840)

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37. 佐々木洋城 (60142684)

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38. 酒井政美 (60215598)

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40. 中里治男 (60044997)

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43. 郷間知己 (70253135)

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44. KIM Seonjeong

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45. CHEON Eunju

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46. 信田正之

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47. FUKASAWA Satoru

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Homma Masaaki 本間 正明

HONMA Masaaki 本間 正明

本間 正明 ホンマ マサアキ

Research Projects

Research Products

Co-Researchers

Projective geometry over finite fields and its applications to coding theoryPrincipal Investigator

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Algebraic curves over finite fields and their applications to coding theory and finite geometryPrincipal Investigator

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A study of algebraic curves from viewpoints of the coding theory and the finite geometryPrincipal Investigator

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Combinatorial algebraic geometry over a finite field and its applicationPrincipal Investigator

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Theory of algebraic curves motivated by coding theoryPrincipal Investigator

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Error correcting codes from the viewpoints of algebraic curves and finite geometryPrincipal Investigator

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Homma Masaaki 本間正明

HONMA Masaaki 本間正明

本間正明ホンママサアキ