| 伪辛空间Fq(2v+1+l)中一类2-维子空间的结合方案及其结构 |
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| 引用本文： | 张更生.伪辛空间Fq(2v+1+l)中一类2-维子空间的结合方案及其结构[J].兰州大学学报(自然科学版),2004,40(2):16-19. |
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| 作者姓名： | 张更生 |
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| 作者单位： | 河北师范大学数学与信息科学学院,河北,石家庄,050016 |
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| 基金项目： | 河北省自然科学基金(199174)和河北师范大学青年基金资助项目. |
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| 摘 要： | 利用伪辛空间Fq^(2v 1 l)中一类2-维非迷向子空间构造了具有2q-2个结合类的交换的但非对称结合方案，讨论了其构造，证明了它是其基础域上的乘法群上我们熟知的结合方案的扩张。
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| 关 键 词： | 伪辛空间 结合方案 结合方案的扩张 |
| 文章编号： | 0455-2059(2004)02-0016-04 |
The association schemes of a kind of 2-dimensional subspaces of pseudo-symplectic space Fq(2v+1+l) and its structure |
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| ZHANG Geng-sheng.The association schemes of a kind of 2-dimensional subspaces of pseudo-symplectic space Fq(2v+1+l) and its structure[J].Journal of Lanzhou University(Natural Science),2004,40(2):16-19. |
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| Authors: | ZHANG Geng-sheng |
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| Institution: | ZHANG Geng-sheng Department of Mathematics,Hebei Normal University,Shijiazhuang,050016,China |
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| Abstract: | This paper obtains a commutative and non-symmetric association scheme of class 2q - 2 using a kind of 2-dimensional non-isotropic subspaces of singular pseudo-symplectic space F_q~(2v+1+l) and discusses its structure. This scheme can be obtained by the extension of those of additive group and multiplicative group of the base field and some other simple association schemes. |
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| Keywords: | pseudo-symplectic space association scheme extension of association scheme |
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