| Project/Area Number |
20740063
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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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 | Kumamoto University (2009-2011)
Aichi Prefectural University (2008) |
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Principal Investigator |
SHIROMOTO Keisuke Kumamoto University, 自然科学研究科, 教授 (00343666)
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| Research Collaborator |
THOMAS Britz University of New South Wales, School of Mathematics and Statistics, Lecture
ANGATA Masayuki 株式会社デンソー, 知的財産部, 社員
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 符号理論 / 組合せデザイン / マトロイド / 自己双対符号 / 一般化ハミング重み / 双対性 |
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| Research Abstract |
In this research term, I had tried to study coding theory, matroid theory, and combinatorial design theory from my past research in algebraic coding theory. Then I gave a construction of mutually disjoint designs from some codes, I found a duality theorem for matroids by using the duality in coding theory, and I introduced a new Tutte type polynomial for matroids.
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