A New Development of Algebraic Coding Theory
Project/Area Number |
23340021
|
Research Category |
Grant-in-Aid for Scientific Research (B)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Tohoku University (2013-2014) Yamagata University (2011-2012) |
Principal Investigator |
HARADA Masaaki 東北大学, 情報科学研究科, 教授 (90292408)
|
Co-Investigator(Kenkyū-buntansha) |
MUNEMASA Akihiro 東北大学, 大学院情報科学研究科, 教授 (50219862)
|
Co-Investigator(Renkei-kenkyūsha) |
KITAZUME Masaaki 千葉大学, 大学院理学研究科, 教授 (60204898)
WADAYAMA Tadashi 名古屋工業大学, 大学院工学研究科, 教授 (20275374)
ARAYA Makoto 静岡大学, 情報学部, 准教授 (70303526)
HAGIWARA Manabu 千葉大学, 大学院理学研究科, 准教授 (80415728)
|
Project Period (FY) |
2011-04-01 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥16,380,000 (Direct Cost: ¥12,600,000、Indirect Cost: ¥3,780,000)
Fiscal Year 2014: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2013: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2012: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2011: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
|
Keywords | 組合せ論 / 代数的符号理論 / 自己双対符号 / 格子 / 組合せデザイン / デザイン |
Outline of Final Research Achievements |
In this research project, I studied algebraic coding theory, especially, self-dual codes. As results, classifications of self-dual codes of length 36 and doubly even self-dual codes of length 40 are completed. Also, I considered the construction of extremal self-dual Z2k-codes.
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Report
(5 results)
Research Products
(15 results)