| USING FINITE GEOMETRIES TO CONSTRUCT 3-PBIB(2) DESIGNS AND 3-DESIGNS |
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| 引用本文： | YANG BENFU(Department of Mathematics,Chengdu Teachers College,Chengdu 611930). USING FINITE GEOMETRIES TO CONSTRUCT 3-PBIB(2) DESIGNS AND 3-DESIGNS[J]. 高校应用数学学报(英文版), 1994, 9(3): 291-297. DOI: 10.1007/BF02663778 |
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| 作者姓名： | YANG BENFU(Department of Mathematics Chengdu Teachers College Chengdu 611930) |
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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： | 1993-01-12 |
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. DOI: 10.1007/BF02663778 |
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| Authors: | Yang Benfu |
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| Affiliation: | (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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