| 摘要: |
| 本文研究了分圆理论与部分差集，强正则图的关系.利用分圆方法，构造了一类新的部分差集，并反过来得到了分圆数的一些新性质. |
| 关键词: 部分差集 分圆数 强正则图 |
| DOI： |
| 分类号:O157.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11401317). |
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| NEW PARTIAL DIFFERENCE SETS AND CYCLOTOMIC NUMBER PROPERTIES |
|
ZHANG Yuan, PENG Mao
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School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
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| Abstract: |
| In this paper, the connections among the theory of cyclotomy, partial difference sets and strongly regular graphs are studied. By means of cyclotomy, a new family of partial difference sets are constructed and new properties of cyclotomic numbers are obtained in reverse. |
| Key words: partial difference set cyclotomic number strongly regular graph |
