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

Less

Researcher Number	80145523
Other IDs	https://orcid.org/0000-0003-4568-6408
External Links
Affiliation (Current)	2025: 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)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. MIURA Kei (50353321)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. TAKAHASHI Takeshi (60390431)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. YANAGI Kenjiro (90108267)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. ISHII Naonori (10339252)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 西白保敏彦 (70044956)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. 加藤満生 (50045043)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 前原濶 (60044921)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 志賀博雄 (40128484)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. 三好哲彦 (60040101)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. 河津清 (70037258)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. 酒井一博 (30205702)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. 阿部吉弘 (10159452)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. 信太正之 (20271364)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
24. MATSUNO Yoshimasa (30190490)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. SHIBA Masakazu (70025469)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. ITO Hiroshi (30168372)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. AKIYAMA Shigeki (60212445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. TOKUNAGA Hiro-o (30211395)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. KOJIMA Hideo (90332824)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. KUWATA Masato (00343640)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. KONNO Kazuhiro (10186869)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. NAMBA Makoto (60004462)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. KURIYAMA Ken (10116717)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 松本修一 (20145519)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 西岡道夫 (30035141)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 安藤良文 (80001840)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 佐々木洋城 (60142684)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 酒井政美 (60215598)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 立花俊一 (50017159)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. 中里治男 (60044997)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. 山田陽 (60126331)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. 木内功 (30271076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. 郷間知己 (70253135)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. KIM Seonjeong

# of Collaborated Projects: 1 results

# of Collaborated Products: 10 results
45. CHEON Eunju

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. 信田正之

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. FUKASAWA Satoru

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Combinatorial algebraic geometry over a finite field and its applicationPrincipal 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

Theory of algebraic curves motivated by coding theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Homma Masaaki 本間正明

HONMA Masaaki 本間正明

本間正明ホンママサアキ