| 利用交错矩阵和Hermite矩阵构作BIB设计 |
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| 引用本文： | 沈灏. 利用交错矩阵和Hermite矩阵构作BIB设计[J]. 上海交通大学学报, 1989, 23(1): 1-8 |
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| 作者姓名： | 沈灏 |
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| 作者单位： | 上海交通大学应用数学系 |
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| 摘 要： | 本文给出了有限域上交错矩阵与Hermite 矩阵的一些计数结果,然后利用V_n(F_q)中的一类子空间作元素,F_q 上交错矩阵或Hermite 矩阵的等同类作区组构作BIB 设计,并计算了它们的参数.
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| 关 键 词： | 区组设计 交错矩阵 Hermite 矩阵 |
Applications of Alternating Matrices and Hermitian Matrices to the Construction of BIB Designs |
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| Shen Hao. Applications of Alternating Matrices and Hermitian Matrices to the Construction of BIB Designs[J]. Journal of Shanghai Jiaotong University, 1989, 23(1): 1-8 |
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| Authors: | Shen Hao |
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| Abstract: | In this paper,enumeration results of alternating matrices and Her-mitian matrices over finite fields are obtained.With a certain class of subspacesof V_n(F_q)as elements,and the equivalent classes of nonsingular alternating matricesor Hermitian matrices over F_q as blocks,a series of BIB designs are constructedand their parameters are calculated. |
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| Keywords: | block design alternating matrix Hermitian matrix |
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