| 区组长为奇素数的自反MD设计 |
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| 引用本文： | 孙秋杰.区组长为奇素数的自反MD设计[J].数学研究与评论,2007,27(1). |
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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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| 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 |
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 and Exposition,2007,27(1). |
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| Authors: | SUN Qiu-jie |
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| Abstract: | A Mendelsohn design MD(v,k,λ) is a pair(X,B),where X is a v-set and B is a collection of k-tuples from X SUch that each ordered pair from X iS contained in exactly λ ktuples of B.An MD(v,k,λ)is called self-converse and denoted by SCMD(v,k,λ)=(X,B,f,) if there exists an isomorphic mapping,f from(X,B) to (X,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 oddprime and m is a positive integer. |
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| Keywords: | SDC UDC CDC self-converse Mendelsohn design difference cycle SDC UDC CDC |
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