Research on codes, lattices, and vertex operator algebras using design theory
| Project/Area Number |
22840003
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Yamagata University (2011-2012)
Tohoku University (2010) |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2011: ¥1,495,000 (Direct Cost: ¥1,150,000、Indirect Cost: ¥345,000)
Fiscal Year 2010: ¥1,625,000 (Direct Cost: ¥1,250,000、Indirect Cost: ¥375,000)
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| Keywords | 代数的組合せ論 / 符号 / 格子 / 頂点作用素代数 / 保型形式 / モックテータ関数 / フーリエ係数 / デザイン理論 |
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| Research Abstract |
Codes, Lattices, and Vertex Operator Algebras are important mathematical objects with many similar properties. For example, designs and minimum distances are defined on the three objects. Originally, the coding theory was introduced for the purpose of communication, hence, it has wide application in real life. In this study, I investigated some property of the three objects for some cases. For example, I determined the minimum bounds and classified t-designs for some cases.
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Report
(3 results)
Research Products
(43 results)
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[Presentation] 符号と格子2012
Author(s)
Tsuyoshi Miezaki
Organizer
数学オリンピック財団主催夏季セミナー
Place of Presentation
ヴィラ千ヶ滝
Year and Date
2012-08-24
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[Presentation] 符号とデザイン2011
Author(s)
Tsuyoshi Miezaki
Organizer
小研究集会「有限幾何学とその周辺」
Place of Presentation
大分大学
Year and Date
2011-12-10
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