2010 Fiscal Year Final Research Report
Manifold research on algebraic coding theory
| 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 |
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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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| Keywords | 符号理論 / 組合せデザイン / マトロイド |
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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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