Comprehensive research on minimum energy structures by design theory
| Project/Area Number |
26800082
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Kyushu Institute of Technology |
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Principal Investigator |
Tagami Makoto 九州工業大学, 大学院情報工学研究院, 准教授 (50380671)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | デザイン / エネルギー最小化構造 / 調和指数デザイン / ハミングスキーム / 球面デザイン / Universally optimal code / GC construction / ユークリッドデザイン / アソシエーションスキーム / 球デザイン |
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| Outline of Final Research Achievements |
From the viewpoint of design theory in algebraic combinatorics, we carried out a search for minimum energy structures. Under the assumption of having the fixed moment, we constructed a computer program to make a search for distributions of finite points in Euclidean space which minimizes the energy for many kinds of potential functions. Using the program, we observed a pattern for the minimum energy structures on the plane.
We considered the finite version for spherical designs of harmonic index t in the space, which is called Hamming scheme and studied well in coding theory. In particular, we gave the constructions and the classifications for designs of harmonic index t in Hamming scheme.
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Report
(4 results)
Research Products
(5 results)
