| 区组长为奇素数的自反MD设计 (英) |
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| 引用本文： | 孙秋杰.区组长为奇素数的自反MD设计 (英)[J].数学研究及应用,2007,27(1):19-27. |
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| 作者姓名： | 孙秋杰 |
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| 作者单位： | 石家庄铁道学院数理系, 河北 石家庄 050043 |
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| 基金项目： | 国家自然科学基金(19831050, 19771028) |
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| 摘 要： | 本文利用差方法对自反MD设计SCMD$(4mp, p,1)$的存在性给出了构造性证明, 这里$p$为奇素数, $m$为正整数.
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| 关 键 词： | 自反MD设计 差圈 SDC UDC CDC. |
| 文章编号： | 1000-341X(2007)01-0019-09 |
| 收稿时间： | 2004/12/7 0:00:00 |
| 修稿时间： | 7/2/2006 12:00:00 AM |
Self-converse Mendelsohn Designs with Odd Prime Block Size |
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| SUN Qiu-jie.Self-converse Mendelsohn Designs with Odd Prime Block Size[J].Journal of Mathematical Research with Applications,2007,27(1):19-27. |
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| Authors: | SUN Qiu-jie |
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| Institution: | Department of Mathematics and Physics, Shijiazhuang Railway Institute, Hebei 050043, China |
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| Abstract: | A Mendelsohn design $\MD(v, k, \lambda)$ is a pair $(X,{\cal B}),$ where $X$ is a $v$-set and ${\cal B}$ is a collection of $k$-tuples from $X$ such that each ordered pair from $X$ is contained in exactly $\lambda$ $k$-tuples of ${\cal B}$. An $\MD(v, k, \lambda)$ is called self-converse and denoted by $\SCMD(v, k, \lambda)=(X, {\cal B}, f)$, if there exists an isomorphic mapping $f$ from $(X, {\cal B})$ to $(X, {\cal B}^{-1})$. In this paper, using difference method, we give a constructive proof for the existence of $\SCMD(4mp,p,1),$ where $p$ is an odd prime and $m$ is a positive integer. |
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| Keywords: | self-converse Mendelsohn design difference cycle SDC UDC CDC |
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