2014 Fiscal Year Final Research Report
Some problems in combinatorial theory and quantum information theory based on algebraic coding theory
| Project/Area Number |
23540148
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Kumamoto University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
JIMBO Masakazu 名古屋大学, 大学院情報科学研究科, 教授 (50103049)
USUDA Tsuyoshi 愛知県立大学, 情報科学部, 准教授 (80273308)
CHIGIRA Naoki 熊本大学, 大学院自然科学研究科, 准教授 (40292073)
|
|---|
| Project Period (FY) |
2011 – 2014
|
| Keywords | 符号 / マトロイド / 組合せデザイン / 量子符号 / 組合せ論 |
|---|
| Outline of Final Research Achievements |
In algebraic coding theory, I have studied mainly the existence problem and the construction problem of codes. Based on these problems, I tried to consider a kind of the similar problems in matroid theory, combinatorial design theory, and quantum information theory in this research period. One of the main results is to give a construction of matroids from codes over finite rings.
|
| Free Research Field |
代数的符号理論およびマトロイド理論
|
