2010 Fiscal Year Final Research Report
Research on algebraic coding theory and its applications for vertex operator algebras
| Project/Area Number |
19540048
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Jobu University |
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Principal Investigator |
BETSUMIYA Koichi Jobu University, 大学院・理工学研究科, 准教授 (60364684)
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| Co-Investigator(Kenkyū-buntansha) |
MUNEMASA Akihiro 東北大学, 大学院・情報科学研究科, 教授 (50219862)
HARADA Masaaki 山形大学, 理学部, 准教授 (90292408)
YAMAUCHI Hiroshi 東京女子大学, 講師 (40452213)
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| Research Collaborator |
SHIMAKURA Hiroki 愛知教育大学, 教育学部, 講師 (90399791)
LAM Ching Hung 台湾中央研究所, 教授
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| Project Period (FY) |
2007 – 2010
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| Keywords | 群論 / 符号理論 |
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| Research Abstract |
We have presented an efficient algorithm for finding triply even codes by investigating the structure of triply even codes. This algorithm has produced a classification of maximal triply even codes of length up to 48. As a result, we have found a new maximal triply even code which is contrary to the expected behavior constructed by a triangular graph. Moreover, new framed vertex operator algebras have been constructed from the list of codes.
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