| 利用有限域上伪辛几何中一类2维非迷向子空间构作PBIB设计 |
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| 引用本文： | 高有 高锁刚. 利用有限域上伪辛几何中一类2维非迷向子空间构作PBIB设计[J]. 应用数学, 1995, 8(2): 201-210 |
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| 作者姓名： | 高有 高锁刚 |
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| 作者单位： | 东北电力学院，河北师范学院 吉林 132012，石家庄 050091 |
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| 摘 要： | 设Ｆｑ是特征为２的有限域，本文利用Ｆｑ上２ｖ＋２维伪辛几何中包含固定的１维非迷向子空间的一类的２维非迷向子空间作处理，构作了具有２（ｑ－１）个结合类的结合方法和ＰＢＩＢ设计，并计算了相应的参数。
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| 关 键 词： | 有限域 伪辛几何 非迷向子空间 PBIB设计 |
Using a Class of 2-Dimensional Non-lsotropic Subspaces in Pseudo-sympletic Geometry over a Finite Field to Construct PBIB Designs |
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| Gao You. Using a Class of 2-Dimensional Non-lsotropic Subspaces in Pseudo-sympletic Geometry over a Finite Field to Construct PBIB Designs[J]. Mathematica Applicata, 1995, 8(2): 201-210 |
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| Authors: | Gao You |
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| Abstract: | Let Fq be a finite field of characteristic 2. In this paper, the authors use a class of 2-di-mensional non-isotropic subspaces containing a fixed 1-dimensional non-isotropic subspaces in pseudo-sympletic geometry over Fq as treatments to construct an association scheme and PBIB designs with 2(q-1) associate classes whose parameters are also computed. |
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| Keywords: | Finite field of characteristic 2 Pseudo-sympletic geometry Non-isotropic sub-space PBIB design |
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