| The Spectrum of （gv,g, 3, λ）-dDF in Zgv |
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| 作者姓名： | Xiao Miao WANG Yan Xun CHANG |
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| 作者单位： | Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China （Grant No.10771013） |
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| 摘 要： | In this paper, several recursive constructions for directed difference family and perfect directed difference family are presented by means of difference matrix and incomplete difference matrix. Finally the necessary and sufficient conditions for the existence of a （gv, g, 3, λ）-directed difference family in Zgv are established. As a consequence, the necessary and sufficient conditions for the existence of a cyclic directed group divisible design with block size three and type gv are obtained.
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| 关 键 词： | 货车 DDF 家庭结构 充分条件 差别矩阵 矩阵方法 递归数列 |
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