Geometric construction of association schemes from degenerate quadrics in projective spaces PG(2 nu+delta+l-1, F-q) for q odd
文献类型：期刊论文
| 作者 | Wang, KS; Wei, HZ |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2000 |
| 卷号 | 20期号:1页码:35-43 |
| 关键词 | projective space quadric association scheme |
| ISSN号 | 0252-9602 |
| 英文摘要 | Let F-q be a finite field with q elements, where q is a power of an odd prime. In this paper, the authors consider a projective space PG(2 nu + delta + iota, F-q) with dimension 2 nu + delta + iota, partitioned into an affine space AG(2 nu + delta + iota, F-q) of dimension 2 nu + delta + iota and a hyperplane H = PG(2 nu + delta + iota -1, F-q) of dimension 2 nu + delta + iota - 1 at infinity, where iota not equal 0. The points of the hyperplane H are next partitioned into four subsets. A pair of points a. and b of the affine space is defined to belong to class i if the line <(ab)over bar> meets the subset i of H. Finally, a family of four-class association schemes are constructed, and parameters are also computed. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000086645000005 |
| 出版者 | BALTZER SCI PUBL BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15123]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Hebei Normal Univ, Dept Math, Hebei 050091, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, KS,Wei, HZ. Geometric construction of association schemes from degenerate quadrics in projective spaces PG(2 nu+delta+l-1, F-q) for q odd[J]. ACTA MATHEMATICA SCIENTIA,2000,20(1):35-43. |
| APA | Wang, KS,&Wei, HZ.(2000).Geometric construction of association schemes from degenerate quadrics in projective spaces PG(2 nu+delta+l-1, F-q) for q odd.ACTA MATHEMATICA SCIENTIA,20(1),35-43. |
| MLA | Wang, KS,et al."Geometric construction of association schemes from degenerate quadrics in projective spaces PG(2 nu+delta+l-1, F-q) for q odd".ACTA MATHEMATICA SCIENTIA 20.1(2000):35-43. |
入库方式： OAI收割
来源：数学与系统科学研究院
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