Research on triply even codes and their related mathematical structures
Project/Area Number |
26400002
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Hirosaki University |
Principal Investigator |
|
Project Period (FY) |
2014-04-01 – 2017-03-31
|
Project Status |
Completed (Fiscal Year 2016)
|
Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | 群論 / 代数的組合せ論 / 頂点作用素代数 / 代数的符号理論 |
Outline of Final Research Achievements |
1. We have constructed maximal triply even codes from the Witt design and Higman design respectively. The automorphism groups are the Mathieu group M22.2 and the Higman sims group HS respectively. 2. We have constructed maximal triply even codes from the Hamming graphs and have constructed their weight enumerators generally. 3. We have constructed a infinite series of triply even codes from a kind of finite geometries and have confirmed their maximality in a possible range by computers.
|
Report
(4 results)
Research Products
(10 results)
-
-
-
-
-
-
-
[Presentation] 立方重偶符号について2015
Author(s)
別宮 耕一
Organizer
日本数学会東北支部会
Place of Presentation
東北大学大学院情報科学研
Year and Date
2015-02-14 – 2015-02-14
Related Report
-
-
-