Algebraic theory of codes and designs based on the Terwilliger algebra
| Project/Area Number |
20740003
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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 |
Algebra
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| Research Institution | Tohoku University |
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Principal Investigator |
TANAKA Hajime Tohoku University, 大学院・情報科学研究科, 助教 (50466546)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 代数的組合せ論 / アソシエーションスキーム / 符号 / 組合せデザイン / ターウィリガー代数 / Terwilliger代数 / デザイン / 半正定値計画 |
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| Research Abstract |
I tried to develop a new theory of codes and designs on association schemes based on the (noncommutative) Terwilliger algebra in place of the (commutative) Bose-Mesner algebra. The outcome of the research includes a fundamental contribution to the theory of width and dual width by Brouwer et al., as well as applications of new tools such as semidefinite programming and Leonard pairs.
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Report
(4 results)
Research Products
(36 results)
