Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (1): 14-22.
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NAN Ji-Zhu, YOU Hong
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Supported by:
国家自然科学基金资助项目
Abstract:
令犝犿(狀,犉狇)表示含狇个元素的有限域犉狇上的狀元非零向量的集.对任一α∈犝犿(狀,犉狇),称α狋α为α的范数,并用犝犿犱(狀,犉狇)表犝犿(狀,犉狇)中具同一范数犱的向量的集合.该文讨论了特征不为2的有限域犉狇上的犝犿犱(4,犉狇)中向量间的道路情形,并利用此结论构作结合方案.
Key words: 有限域, 道路图结构, 结合方案.
CLC Number:
NAN Ji-Zhu, YOU Hong. Using Structure of Paths of Nonzero Vectors over Finite Fields and Inner Product to Construct an Association Scheme[J].Acta mathematica scientia,Series A, 2001, 21(1): 14-22.
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1 南基洙,游宏.利用有限域上非零向量的道路图结构与内积构作结合方案.应用数学,1999,12(2):121-128 2 HinsonEK.Pathsofunimodularvectors.JAlgebra,1991,142:58-76 3 万哲先等.有限几何与不完全区组设计的一些研究.北京:科学出版社,1966 4 LidlR.Finitefields.Cambridge:AddisonWesleyPublishingCompany,1983
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