Algebraic coding theory and combinatorial designs
| Project/Area Number |
20540103
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Yamagata University |
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Principal Investigator |
HARADA Masaaki Yamagata University, 理学部, 准教授 (90292408)
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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)
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| Co-Investigator(Renkei-kenkyūsha) |
KITAZUME Masaaki 千葉大学, 大学院・理学研究科, 教授 (60204898)
ARAYA Makoto 静岡大学, 情報学部, 准教授 (70303526)
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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 |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 組合せ論 / 自己双対符号 / 組合せデザイン / 格子 |
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| Research Abstract |
The main aim of this research is to study self-dual codes, which are of interest from an algebraic point of view. In self-dual codes, it is a fundamental problem to classify these codes. We completed classifications of several types of self-dual codes using some different approaches. We constructed extremal self-dual codes which have the largest minimum weights among all self-dual codes of that length. Using self-dual codes, we also studied combinatorial designs.
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Report
(4 results)
Research Products
(24 results)
