| Frame自正交拉丁方中的截态 |
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| 引用本文： | 徐允庆 姬文常. Frame自正交拉丁方中的截态[J]. 信阳师范学院学报(自然科学版), 1996, 9(1): 1-5 |
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| 作者姓名： | 徐允庆 姬文常 |
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| 作者单位： | 信阳师院数学系，信阳师院图书馆 |
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| 摘 要： | 本文证明当ｐ为质数幂时．在型为２ｐ的Ｆｒａｍｅ自正拉丁方中存在２（Ｐ－１）个互不相交的截态，且（ｉ）当ｐ大于３且时ｐ≡１（ｍｏｄ４）时这２（ｐ－１）个截态表现为ｐ－１个自对称的截态和（ｐ－１）／２对相互对称的截态；（ｉｉ）当ｐ大于５且ｐ≡３（ｍｏｄ４）时这２（ｐ－１）个截态在现为ｐ－１对相互对称的截态．
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| 关 键 词： | 截态；自正交拉丁方；膨胀构造法 |
Transversals in Frame Self-orthogonal Latin Squares |
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| Xu Yunqing. Transversals in Frame Self-orthogonal Latin Squares[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1996, 9(1): 1-5 |
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| Authors: | Xu Yunqing |
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| Abstract: | In this Paper,we show that there exist 2(p-1)disjoint transversals in a frame self-orthogonal latin square of type 2p and(i) occurring as p-1 symmetric ones and gsymmetric pairs when p is a prime power exceeding 3 and p=1(mod 4);(ii)occurring as p- 1 symmetric pairs when p is a prime power exceeding 5 and p=3(mod 4). |
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| Keywords: | Transversals Self-ortHogonal latin square inflation construction |
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