| EMBEDDINGS OF SIMPLE TWO-FOLD BALANCED INCOMPLETE BLOCK DESIGNS WITH BLOCK SIZE FOUR |
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| 作者姓名： | WANG Jinhu SHEN Hao |
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| 作者单位： | WANG JINHUA SHEN HAO School of Sciences，Nantong University，Nantong 226007，Jiangsu，China. Department of Mathematics，Shanghai Jiao Tone University，Shanghai 200030，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No. 10471093). |
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| 摘 要： | The necessary and sufficient conditions for the existence of simple incomplete block design (v, w; 4,2)-IPBDs are determined. As a consequence, the necessary and sufficient conditions for the embeddings of simple two-fold balanced incomplete block designs with block size 4 are also determined.
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| 关 键 词： | 区组设计 嵌入理论 折叠平衡 子集 |
| 收稿时间： | 2006/11/3 0:00:00 |
EMBEDDINGS OF SIMPLE TWO-FOLD BALANCED INCOMPLETE BLOCK DESIGNS WITH BLOCK SIZE FOUR |
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| WANG Jinhu,SHEN Hao.EMBEDDINGS OF SIMPLE TWO-FOLD BALANCED INCOMPLETE BLOCK DESIGNS WITH BLOCK SIZE FOUR[J].Chinese Annals of Mathematics,Series B,2005,26(4):643-650. |
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| Authors: | WANG Jinhua and SHEN Hao |
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| Institution: | [1]School of Sciences, Nantong University, Nantong 226007, Jiangsu, China. [2]Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China. |
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| Abstract: | The necessary and sufficient conditions for the existence of simple incomplete block design (v, w; 4,2)-IPBDs are determined. As a consequence, the necessary and sufficient conditions for the embeddings of simple two-fold balanced incomplete block designs with block size 4 are also determined. |
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| Keywords: | Block design Simple Embedding |
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