群Z_n构造的结合方案研究  

Research on the Construction of Association Scheme from Group Z_n

作　　者：张宝环[1] 李增提[1] 

机构地区：[1]廊坊师范学院,河北廊坊065000

出　　处：《廊坊师范学院学报（自然科学版）》2015年第2期5-8,共4页Journal of Langfang Normal University(Natural Science Edition)

基　　金：廊坊师范学院自然重点研究项目(LSLZ201403)

摘　　要：利用有限域上所有n×n埃尔米特矩阵构作了一类结合方案。在此基础上,给出了以上结合方案在一般情况下的参数。概括了构作有限域上交错矩阵及一般m×n矩阵的结合方案的方法。由此,设Zn是阶为n的交换群,利用群Zn构造了一类结合方案,并且计算了其邻接矩阵和所有交叉数。Constructed a class of association scheme using all n ~ n Hermitian matrix over a finite field. On the basis of, The above association scheme is given in the general case of parameters. Summarized the construct cross matrix over fi- nite field and general m ~ n matrix method of the association of scheme. Let Zn be the Abelian group satisfying[ Zn ] = n. The paper provides the construction of association scheme on the group Zn All intersection numbers of the association schemes and adjacent matrix are computed.

关 键 词：结合方案 邻接矩阵 交叉数 群 

分 类 号：O157[理学—数学]