A New Development of Algebraic Coding Theory

2014 Fiscal Year Final Research Report

• 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
• Keywords: 組合せ論 / 代数的符号理論 / 自己双対符号 / 格子

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.

Free Research Field

代数的符号理論