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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
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume20Issue:1Pages:35-43
AbstractLet 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.
Keywordprojective space quadric association scheme
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000086645000005
PublisherBALTZER SCI PUBL BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15124
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
2.Hebei Normal Univ, Dept Math, Hebei 050091, Peoples R China
Recommended Citation
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.
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