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2016 Fiscal Year Final Research Report

Comprehensive research on minimum energy structures by design theory

Research Project

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Project/Area Number 26800082
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionKyushu Institute of Technology

Principal Investigator

Tagami Makoto  九州工業大学, 大学院情報工学研究院, 准教授 (50380671)

Project Period (FY) 2014-04-01 – 2017-03-31
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
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.

Free Research Field

代数的組合せ論

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Published: 2018-03-22  

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