| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Outline of Final Research Achievements |
The objective of this research project is to make clear the existence of skew Hadamard difference sets and cyclotomic strongly regular graphs and their relationship. In previous research, several examples of skew Hadamard difference sets were found, which are inequivalent to the quadratic residue difference sets. We found a nice connection between these two different combinatorial structures. We found that the orders for which such sporadic skew Hadamard difference sets and cyclotomic strongly regular graphs exist coincide. This is a starting point of our research. Indeed, we showed that infinitely many skew Hadamard difference sets can be obtained from cyclotomic strongly regular graphs. Furthermore, we proved that the family includes infinitely many skew Hadamard difference sets inequivalent to the quadratic residue difference sets.
|
