| Project/Area Number |
23540120
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | University of Tsukuba |
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Principal Investigator |
FUJI-HARA Ryoh 筑波大学, システム情報系, 教授 (30165443)
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| Co-Investigator(Kenkyū-buntansha) |
MIAO Ying 筑波大学, システム情報系, 教授 (10302382)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | 組み合わせ理論 / デザイン理論 / 多重構造デザイン / 有限体 / 有限幾何 / multi-structured design / nested design / row-column design / external design / balanced array / orthogonal array |
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| Outline of Final Research Achievements |
There are several kinds of block designs each block of which have further structures. Combinatorial conditions of the further structure are delicately different depend on applications. These designs was named independently, nested design, row-and-column design, splitting design, balanced or orthogonal array, etc. The constructions have been independently researched for long time, but often used the similar techniques. A thousand and one papers for constructions of those designs have been published. We like to call a class of those designs multi-structured designs whose notation includes condition sets for its super design and sub-designs.
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