2013 Fiscal Year Final Research Report
Research on triply even codes
| Project/Area Number |
23540002
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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) |
2011 – 2013
|
| Keywords | 群論 / 代数的符号理論 / 頂点作用素代数 |
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| Research Abstract |
1. We have shown that the number of irreducible factors is equal to the dimension of dual code of the star product. 2. We have shown that a triply even code is maximum if and only if the code is equal to the radical. 3. We have given a classification of doubly even self-dual codes of length 40. 4. We have shown that the Paley-Hadamard matrix is the only Hadamard matrix of order 32 which gives an extremal self-dual code of length 64.
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