| USING FINITE GEOMETRIES TO CONSTRUCT 3-PBIB(2) DESIGNS AND 3-DESIGNS |
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| 作者姓名： | YANG BENFU |
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| 作者单位： | Department of Mathematics，Chengdu Teachers College，Chengdu 611930 |
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| 摘 要： | ＵＳＩＮＧＦＩＮＩＴＥＧＥＯＭＥＴＲＩＥＳＴＯＣＯＮＳＴＲＵＣＴ３－ＰＢＩＢ（２）ＤＥＳＩＧＮＳＡＮＤ３－ＤＥＳＩＧＮＳ￥ＹＡＮＧＢＥＮＦＵ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＣｈｅｎｇｄｕＴｅａｃｈｅｒｓＣｏｌｌｅｇｅ，Ｃｈｅｎｇｄｕ...
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| 收稿时间： | 12 January 1993 |
Using finite geometries to construct 3-PBIB(2) designs and 3-designs |
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| YANG BENFU.USING FINITE GEOMETRIES TO CONSTRUCT 3-PBIB(2) DESIGNS AND 3-DESIGNS[J].Applied Mathematics A Journal of Chinese Universities,1994,9(3):291-297. |
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| Authors: | Yang Benfu |
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| Institution: | (1) Department of Mathematics, Chengdu Teachers College, 611930 Chengdu |
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| Abstract: | The concept if t-PBIB design was introduced by Wei Wandi and Yang Benfu as a generalization of t-design and PBIB design. In this paper, a number of 3-association schemes and 3-PBIB(2) designs are constructed on the bases of the finite vector space over Fq and the finite unitary geometry over Fq2. Then a number of 3-designs are constructed on the bases of the finite orthogonal geometries over Fq. The parameters of all these designs are computed. |
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| Keywords: | Finite geometry design |
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