2016 Fiscal Year Final Research Report
Research on triply even codes and their related mathematical structures
| Project/Area Number |
26400002
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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 |
Algebra
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| Research Institution | Hirosaki University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 群論 / 代数的組合せ論 / 頂点作用素代数 |
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| Outline of Final Research Achievements |
1. We have constructed maximal triply even codes from the Witt design and Higman design respectively. The automorphism groups are the Mathieu group M22.2 and the Higman sims group HS respectively. 2. We have constructed maximal triply even codes from the Hamming graphs and have constructed their weight enumerators generally. 3. We have constructed a infinite series of triply even codes from a kind of finite geometries and have confirmed their maximality in a possible range by computers.
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| Free Research Field |
数物系科学
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