摘要
在本文中,我们利用V_n(F_q)中包含一个给定的m维子空间的m+1维子空间作为处理,以F_q上n×n非奇异交错矩阵的等价类作为区组,或以F_q^2上n×n非奇异Hermite矩阵的等价类作为区组,构作了一系列3-PBIB设计,并计算了它们的参数。
In this paper ,with (m + 1)-subspaces of Vn (Fq) containing a given m-subspace as treatments and some equivalent classes of n×n nonsingular alternating matrices over F, or n×n nonsingular Hermitian matrices over Fqz as blocks,certain classes of 3-PBIB designs are constructed and their parameters are calculated.
出处
《应用数学》
CSCD
北大核心
1994年第4期373-381,共9页
Mathematica Applicata
基金
Research Supported by the NNSFC
关键词
结合方案
PBIB设计
全迷向子空间
3-association scheme
3-PBIB design
Fully isotropic subspace
