Study on Hadamard matrices based on algebraic combinatorics
| Project/Area Number |
15K21075
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Foundations of mathematics/Applied mathematics
Algebra
|
|---|
| Research Institution | Aichi University of Education |
|---|
Principal Investigator |
Suda Sho 愛知教育大学, 教育学部, 講師 (30710206)
|
|---|
| Project Period (FY) |
2015-04-01 – 2018-03-31
|
| Project Status |
Completed (Fiscal Year 2017)
|
| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Keywords | アダマール行列 / アソシエーションスキーム / mutually unbiased base / 複素アダマール行列 / orthogonal design / EW tournament / 一般化アダマール行列 / conference matrix / 直交デザイン / 不偏相互基底 |
|---|
| Outline of Final Research Achievements |
I have studied combinatorial structures related to Hadamard matrices. By introducing the concepts of linked systems of symmetric group divisible designs and unbiased orthogonal designs, unifying methods to study the previous works are developed. Moreover, association schemes based on finite fields are constructed.
|
Report
(4 results)
Research Products
(31 results)
