Geometric construction of association schemes from degenerate quadrics in projective spaces PG(2 nu+delta+l-1, F-q) for q odd

CSpace

	Geometric construction of association schemes from degenerate quadrics in projective spaces PG(2 nu+delta+l-1, F-q) for q odd
	Wang, KS ; Wei, HZ
	2000
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	20 期号:1 页码:35-43
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.
关键词	projective space quadric association scheme
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000086645000005
出版者	BALTZER SCI PUBL BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15124
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.