OZEKI Michio 小関道夫

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小関道夫

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Researcher Number	90087073
Other IDs
Affiliation (based on the past Project Information) *help	1993 – 2006: 山形大学, 理学部, 教授 1990 – 1992: 弘前大学, 理学部, 教授 1988: 長崎大学, 教養部, 教授
Review Section/Research Field	Principal Investigator Algebra / 代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator Algebra / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry
Keywords	Principal Investigator ヤコビ多項式 / ジーゲル保型形式 / 符号のヤコビ多項式 / 被覆半径 / lattice / 格子 / 複素鏡映群 / 符号理論 / Siegel modular form / multiple weight enumerator … More / Code / 二次形式 / 多重重み枚挙多項式 / 符号 / Siegel modular forms / Jacobi form / Coding theory / 保型形式 / ヤコビ形式 / Jacobi polynomials of codes / coset weight distributions / the covering radius / ternary codes / binary codes / 不変式環 / コセット重み分布 / 3元符号 / 2元符号 / カッツムーディ環 / 同時不変多項式環 / 有限複素鏡映群 / ジーゲル・ヤコビ形式 / 不変多項式環 / アソシエーション・スキーム / 符号の被覆半径 / 調和写像と微分方程式 / ハ-ディ・リトルウッド型定理 / フーリエ泉法子 / ヤコビ保型形式 / 射影加群のレヴィ構造 / 最適化問題 / 行列の値領域 / 被覆半経 / マクウイリアムス型恒等式 / リ-枚挙多項式 / 完全枚挙多項式 / ジ-ゲルテ-タ級数 / ヤコビテ-タ級数 / 3元線形符号 / 2元線形符号 … More Except Principal Investigator spherical design / code / modular form / コード / モジュラー形式 / 球面デザイン / アソシエーションスキーム / 代数的組合せ論 / lattice / design / Ramanujan graph / association scheme / algebraic combinatorics / tight designs / 指標表 / グラスマン空間 / tight design / kissing number / 格子 / デザイン / ラマンジャングラフ / アソシエーションスチーム / codes over finite alrelian group / finite ring / spin model / associationscheme / Algebraic combinatorics / 有限群の不変式環 / Type IIコード / Terwilliger代数 / 2次形式 / modular invariant / 有限アーベル群上のコード / 有限環 / スピンモデル / ruin problem / random tournament / Contact pattarn of spheres / integral distance representation / framework / 球面システム / 有理点 / 整数距離グラフ / 格子点 / ランダムト-ナメント / 破産問題 / ランダム・ト-ナメント / 球の接触パターン / 整数距離表現 / フレームワーク / ヤコービ和 / 類数 / Lー関数 / ハッセーウィット行列 / 代数関数体 / 結び目 / 調和写像 / ヤコビ形式 / カオス力学系 / フーリエマルチプライヤー / 変換群 / 空間形 / リ-群 / 曲率 / 極小曲面 / 作用 / 多様体 Less

Coding theory, the invariant theory for the finite fractional linear transformation groups and their applications to the number theoryPrincipal Investigator
- Principal Investigator
  
  OZEKI Michio
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
A study of the interacting area among the theory of quadratic forms and the theory of modular forms and the algebraic coding theoryPrincipal Investigator
- Principal Investigator
  
  OZEKI Michio
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
Comprehensive study on Algebraic Combinatorics
- Principal Investigator
  
  BANNAI Eiichi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
A collective study of algebraic combinatorics
- Principal Investigator
  
  BANNAI Eiichi
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
Algebraic Coding Theory and the related studies of algebraic, geometric and analytic naturesPrincipal Investigator
- Principal Investigator
  
  OZEKI Michio
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Faculty of Science, Yamagata University
有限複素鏡映群の不変式論,ジーゲル保型形式とカッツムーディ環との関連の研究Principal Investigator
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Yamagata University
変換群の代数・幾何・解析的研究
- Principal Investigator
  
  内田伏一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamagata University
Comprehensive Study on Discrete Geometry
- Principal Investigator
  
  MAEHARA Hiroshi
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of the Ryukyus
有限体上の符号の被覆半径と格子群の被覆半径の決定問題Principal Investigator
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Yamagata University
代数的符号理論と多変数の保型形式Principal Investigator
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
アルゴリスム的情報論Principal Investigator
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
情報理論の確率的構造に関する代数的・解析的研究Principal Investigator
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Yamagata University
符号の不変量の代数的・解析的研究Principal Investigator
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hirosaki University
多様体の構造と作用について
- Principal Investigator
  
  菊地茂樹
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hirosaki University
代数的符号理論と二次形式Principal Investigator
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hirosaki University
代数関数の研究
- Principal Investigator
  
  鷲尾忠司
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagasaki University

All 2007 2005 2004 2003 2002

All Journal Article Book

[Book] Encyclopedia of Mathematics2007
- Author(s)
  Ozeki, others
- Publisher
  Iwanami Publishing Company
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540006
[Book] 数学辞典第4版2007
- Author(s)
  小関道夫他
- Publisher
  岩波書店
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540006
[Journal Article] 岩波書店2007
- Author(s)
  小関道夫他
- Journal Title
  
  数学辞典第4版
- Data Source
  KAKENHI-PROJECT-17540006
[Journal Article] On a problem posed by S.Manni2005
- Author(s)
  M.Ozeki
- Journal Title
  
  Proc.Second COE Workshop on Sphere Packings
  
  Pages: 217-225
- Data Source
  KAKENHI-PROJECT-17540006
[Journal Article] Covering radius problems for ternary self-dual codes2004
- Author(s)
  M.Ozeki, M.Harada, K.Tanabe
- Journal Title
  
  Design, Codes and Cryptology 33
  
  Pages: 149-159
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Covering radius problems for ternary self-dual codes.2004
- Author(s)
  M.Harada, M.Ozeki, K.Tanabe
- Journal Title
  
  Design, Codes and Cryptology 33
  
  Pages: 149-158
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Covering radius problems for ternary self-dual codes2004
- Author(s)
  M.Harada, M.Ozeki, K.Tanabe
- Journal Title
  
  Design, Codes and Cryptology Vol.33
  
  Pages: 149-158
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Note on the shadow process in coding theory2003
- Author(s)
  M.Ozeki
- Journal Title
  
  Discrete Mathematics 264
  
  Pages: 187-200
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Note on the shadow process in coding theory2003
- Author(s)
  M.Ozeki
- Journal Title
  
  Discrete Mathematics Vol.264
  
  Pages: 187-200
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Covering radius problem for singly even self-dual binary codes.2002
- Author(s)
  M.Ozeki
- Journal Title
  
  IEEE Transaction on Information Theory 48
  
  Pages: 547-557
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Tertiary code construction of odd unimodular extremal lattices2002
- Author(s)
  M.Harada, M.Kitazume, M.Ozeki
- Journal Title
  
  Journal of Algebraic Combinatorics Vol.16
  
  Pages: 209-223
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Covering radius problem for singly even self dual binary codes2002
- Author(s)
  M.Ozeki
- Journal Title
  
  IEEE Transaction on Information Theory Vol.48
  
  Pages: 547-557
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Ternary code construction of odd unimodular extremal lattices.2002
- Author(s)
  M.Harada, M.Kitazume, M.Ozeki
- Journal Title
  
  Journal of Algebraic Combinatorics 16
  
  Pages: 209-223
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540004

1. MURABAYASHI Naoki (80261676)

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2. SAWADA Hideki (30095856)

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3. HARADA Masaaki (90292408)

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5. UENO Keisuke (10250911)

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6. UCHIDA Fuichi (90028126)

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20. MAEHARA Hiroshi (60044921)

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OZEKI Michio 小関 道夫

小関 道夫

Research Projects

Research Products

Co-Researchers

Coding theory, the invariant theory for the finite fractional linear transformation groups and their applications to the number theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study of the interacting area among the theory of quadratic forms and the theory of modular forms and the algebraic coding theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Comprehensive study on Algebraic Combinatorics

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A collective study of algebraic combinatorics

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Algebraic Coding Theory and the related studies of algebraic, geometric and analytic naturesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

有限複素鏡映群の不変式論,ジーゲル保型形式とカッツムーディ環との関連の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

変換群の代数・幾何・解析的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Comprehensive Study on Discrete Geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

有限体上の符号の被覆半径と格子群の被覆半径の決定問題Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

代数的符号理論と多変数の保型形式Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

アルゴリスム的情報論Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

情報理論の確率的構造に関する代数的・解析的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

符号の不変量の代数的・解析的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

OZEKI Michio 小関道夫

小関道夫

[Book] 数学辞典第4版2007